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Kata Pengantar Alhamdulillah, Puji Syukur atas kehadirat Allah SWT , karena berkat rahmat dan hidayah-Nya kami dapat meneyelesaikan Modul Praktikum Fisika Dasar I. Kami berterimakasih pula kepada mahasiswa-mahasiswi Program Studi Fisika yang telah berpartisipasi aktif dalam penyusunan laporan ini, khususnya mahasiswa Program Studi Fisika 2008: Ridwan Ridwan Ramdani dan Sujiani yang berperan sebagai editor editor dan Sandy Yusuf Yusuf sebagai ilustrator gambar di dalam modul ini. Kami menyadari masih banyak kekurangan dalam penyusunan modul ini, oleh karenanya kami kami mengha mengharapk rapkan an kritik kritik dan saran saran agar lebih baik lagi di masa masa depan. depan. Akhirny Akhirnya, a, kami kami berharap semoga laporan ini dapat bermanfaat bagi semua pihak.
Bandung, Bandung, Agustus Agustus 2010
Tim Penyusun
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Daftar Isi Kata Pengantar
i
1 Analisis Analisis Ketidak Ketidakpasti pastian an Penguku Pengukuran ran dan 1.1 Sumber Sumber Ketidak Ketidakpas pastia tian n . . . . . . . . 1.2 Analis Analisis is Ketidak Ketidakpas pastian tian . . . . . . . . 1.3 1.3 Metod Metodee Grafi Grafikk . . . . . . . . . . . . .
Grafik . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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5 Koefisi Koefisien en Gesek Gesekan an 5.1 5.1 Tujua ujuan n . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.2 Dasar Dasar Teori eori . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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2 Dasar Dasar Pe Pengu ngukur kuran an 2.1 2.1 Tujua ujuan n . . . . . . . . . . . 2.2 Dasar Dasar Teori eori . . . . . . . . 2.3 Metode Metode Perco Percobaan baan . . . . . 2.3. 2.3.11 Alat Alat dan Bahan Bahan . . 2.3.2 2.3.2 Prosed Prosedur ur Perco Percobaan baan 2.4 Tugas Pendah Pendahulua uluan n . . . . 2.5 2.5 Tugas ugas Akhir Akhir . . . . . . . . 3 Gerak Gerak Tran Transla slasi si dan dan Rotasi Rotasi 3.1 3.1 Tujua ujuan n . . . . . . . . . . . 3.2 Dasar Dasar Teori eori . . . . . . . . 3.3 Metode Metode Perco Percobaan baan . . . . . 3.3. 3.3.11 Alat Alat dan Bahan Bahan . . 3.3.2 3.3.2 Prosed Prosedur ur Perco Percobaan baan 3.4 Tugas Pendah Pendahulua uluan n . . . . 3.5 3.5 Tugas ugas Akhir Akhir . . . . . . . . 4 Bandul Bandul Matema Matematis tis 4.1 4.1 Tujua ujuan n . . . . . . . . . . . 4.2 Dasar Dasar Teori eori . . . . . . . . 4.3 Metode Metode Perco Percobaan baan . . . . . 4.3. 4.3.11 Alat Alat dan Bahan Bahan . . 4.3.2 4.3.2 Prosed Prosedur ur Perco Percobaan baan 4.4 Tugas Pendah Pendahulua uluan n . . . . 4.5 4.5 Tugas ugas Akhir Akhir . . . . . . . .
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Daftar Isi 5.3 Metode Metode Perco Percobaan baan . . . . . 5.3. 5.3.11 Alat Alat dan Bahan Bahan . . 5.3.2 5.3.2 Prosed Prosedur ur Perco Percobaan baan 5.4 Tugas Pendah Pendahulua uluan n . . . . 5.5 5.5 Tugas ugas Akhir Akhir . . . . . . . .
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10 Resonansi Bunyi 10.1 Tujuan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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6 Koefisien Koefisien Restit Restitusi usi dan dan Ayunan Ayunan Balis Balistik tik 6.1 6.1 Tujua ujuan n . . . . . . . . . . . . . . . . . 6.2 Dasar Dasar Teori eori . . . . . . . . . . . . . . 6.3 Metode Metode Perco Percobaan baan . . . . . . . . . . . 6.3. 6.3.11 Alat Alat dan Bahan Bahan . . . . . . . . 6.3.2 6.3.2 Prosed Prosedur ur Perco Percobaan baan . . . . . . 6.4 Tugas Pendah Pendahulua uluan n . . . . . . . . . . 6.5 6.5 Tugas ugas Akhir Akhir . . . . . . . . . . . . . . 7 Momen Momen Inersi Inersia a Batang Batang Silin Silinder der 7.1 7.1 Tujua ujuan n . . . . . . . . . . . . 7.2 Dasar Dasar Teori eori . . . . . . . . . 7.3 Metode Metode Perco Percobaan baan . . . . . . 7.3. 7.3.11 Alat Alat dan Bahan Bahan . . . 7.3.2 7.3.2 Prosed Prosedur ur Perco Percobaan baan . 7.4 Tugas Pendah Pendahulua uluan n . . . . . 7.5 7.5 Tugas ugas Akhir Akhir . . . . . . . . .
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8 Momen Momen Inersia Inersia Benda Benda (Bola (Bola dan dan Silinder Silinder)) 8.1 8.1 Tujua ujuan n . . . . . . . . . . . . . . . . . . 8.2 Dasar Dasar Teori eori . . . . . . . . . . . . . . . 8.3 Metode Metode Perco Percobaan baan . . . . . . . . . . . . 8.3. 8.3.11 Alat Alat dan Bahan Bahan . . . . . . . . . 8.3.2 8.3.2 Prosed Prosedur ur Perco Percobaan baan . . . . . . . 8.4 Tugas Pendah Pendahulua uluan n . . . . . . . . . . . 8.5 8.5 Tugas ugas Akhir Akhir . . . . . . . . . . . . . . . 9 Osilat Osilator or Harmo Harmonik nik 9.1 9.1 Tujua ujuan n . . . . . . . . . . . 9.2 Dasar Dasar Teori eori . . . . . . . . 9.3 Metode Metode Perco Percobaan baan . . . . . 9.3. 9.3.11 Alat Alat dan Bahan Bahan . . 9.3.2 9.3.2 Prosed Prosedur ur Perco Percobaan baan 9.4 Tugas Pendah Pendahulua uluan n . . . . 9.5 9.5 Tugas ugas Akhir Akhir . . . . . . . .
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Daftar Isi 10.2 Dasar Dasar Teori Teori . . . . . . . . 10.3 Metode Percob Percobaan aan . . . . . 10.3.1 10.3.1 Alat Alat dan Bahan Bahan . . 10.3.2 Prosedur Prosedur Percob Percobaan aan 10.4 Tugas Pendahuluan Pendahuluan . . . . 10.5 Tugas Akhir . . . . . . . .
11 Hukum Melde pada Tali 11.1 Tujuan . . . . . . . . . . . 11.2 Dasar Dasar Teori Teori . . . . . . . . 11.3 Metode Percob Percobaan aan . . . . . 11.3.1 11.3.1 Alat Alat dan Bahan Bahan . . 11.3.2 Prosedur Prosedur Percob Percobaan aan 11.4 Tugas Pendahuluan Pendahuluan . . . . 11.5 Tugas Akhir . . . . . . . . 12 Tegangan Permukaan 12.1 Tujuan . . . . . . . . . . . 12.2 Dasar Dasar Teori Teori . . . . . . . . 12.3 Metode Percob Percobaan aan . . . . . 12.3.1 12.3.1 Alat Alat dan Bahan Bahan . . 12.3.2 Prosedur Prosedur Percob Percobaan aan 12.4 Tugas Pendahuluan Pendahuluan . . . . 12.5 Tugas Akhir . . . . . . . . 13 Tekanan Hidrostatis Pipa U 13.1 Tujuan . . . . . . . . . . . 13.2 Dasar Dasar Teori Teori . . . . . . . . 13.3 Metode Percob Percobaan aan . . . . . 13.3.1 13.3.1 Alat Alat dan Bahan Bahan . . 13.3.2 Prosedur Prosedur Percob Percobaan aan 13.4 Tugas Pendahuluan Pendahuluan . . . . 13.5 Tugas Akhir . . . . . . . . 14 Viskositas Zat Cair 14.1 Tujuan . . . . . . . . . . . 14.2 Dasar Dasar Teori Teori . . . . . . . . 14.3 Metode Percob Percobaan aan . . . . . 14.3.1 14.3.1 Alat Alat dan Bahan Bahan . . 14.3.2 Prosedur Prosedur Percob Percobaan aan 14.4 Tugas Pendahuluan Pendahuluan . . . . 14.5 Tugas Akhir . . . . . . . .
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Daftar Isi
15 Hukum Archimedes 15.1 Tujuan . . . . . . . . . . . 15.2 Dasar Dasar Teori Teori . . . . . . . . 15.3 Metode Percob Percobaan aan . . . . . 15.3.1 15.3.1 Alat Alat dan Bahan Bahan . . 15.3.2 Prosedur Prosedur Percob Percobaan aan 15.4 Tugas Pendahuluan Pendahuluan . . . . 15.5 Tugas Akhir . . . . . . . . 16 Kalorimeter 16.1 Tujuan . . . . . . . . . . . 16.2 Dasar Dasar Teori Teori . . . . . . . . 16.3 Metode Percob Percobaan aan . . . . . 16.3.1 16.3.1 Alat Alat dan Bahan Bahan . . 16.3.2 Prosedur Prosedur Percob Percobaan aan 16.4 Tugas Pendahuluan Pendahuluan . . . . 16.5 Tugas Akhir . . . . . . . . Kepustakaan
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Daftar Gambar 3.1 Perco Percobaan baan keret keretaa dinamik dinamika. a. . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.2 Pesa Pesawa watt Atwood Atwood.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.1 Bandul Bandul matema matematis tis.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 5.1 Gaya Gaya gesekan gesekan timbul berlawanan berlawanan arah arah gerak gerak benda. . . . . . . . . . . . . . . 17 5.2 Grafik hubungan hubungan antara antara gaya gaya normal normal dan gaya gaya gesek gesekan. an. . . . . . . . . . . . 18 5.3 Analis Analisis is gaya gaya yang bekerj bekerjaa pada benda pada bidang bidang miring. miring. . . . . . . . . . 19 6.1 6.2 6.3 6.4
Gerak Gerak bola bola yang yang dijatu dijatuhk hkan an Ayunan Ayunan balisti balistikk . . . . . . Geomet Geometri ri ayunan ayunan . . . . . Set up alat alat ayunan ayunan balisti balistikk
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22 23 23 24
7.1 Momen Momen inersi inersiaa batang batang silin silinder der.. . . . . . . . . . . . . . . . . . . . . . . . . . 25 7.2 Set up alat alat percobaan percobaan momen momen inersi inersiaa batang batang silinder silinder . . . . . . . . . . . . . 26 8.1 Momen Momen insersi insersiaa berbagai berbagai bentuk bentuk benda benda tegar. tegar. . . . . . . . . . . . . . . . . . 29 8.2 Bola Bola menggel menggelind inding ing pada pada bidang bidang miring miring.. . . . . . . . . . . . . . . . . . . . . 30 9.1 Pegas Pegas yang yang diberi diberi beban. beban. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 9.2 Osilat Osilator or harmo harmonik nik pada pada pegas pegas.. . . . . . . . . . . . . . . . . . . . . . . . . . 33 9.3 Set up up alat percob percobaan aan osilat osilator or harmo harmonik nik . . . . . . . . . . . . . . . . . . . . 34 10.1 Bentuk Bentuk gelombang gelombang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 10.2 Frekuens Frekuensii harmonik pada resonansi . . . . . . . . . . . . . . . . . . . . . . . 37 10.3 Rangkaian Rangkaian alat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 11.1 Bentuk Bentuk gelombang sesuai frekuensi. frekuensi. . . . . . . . . . . . . . . . . . . . . . . . 41 11.2 Set up percobaan. percobaan. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Rangka Rangka kaw
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Daftar Gambar 14.1 Gaya Gaya yang beke b ekerja rja pada b enda pada saat kecepatan kecepatan terminal dicapai. . . . . . 53 15.1 Prinsip hukum Archimede Archimedes. s. . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 16.1 Kalorimete Kalorimeter. r. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
61
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Daftar Tabel 2.1 Massa Massa Jenis Jenis beberapa beberapa Zat . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
5.1 Koefisi Koefisien en gese gesekk beberap beberapaa benda. benda. . . . . . . . . . . . . . . . . . . . . . . . . 19 12.1 Tegangan Permuka Permukaan an berbagai Zat Cair . . . . . . . . . . . . . . . . . . . . 46 14.1 Koefisien Koefisien viskositas viskositas beberapa fluida . . . . . . . . . . . . . . . . . . . . . . . 54 15.1 Massa jenis jenis beberapa zat cair dan zat padat padat . . . . . . . . . . . . . . . . . . 56 ◦
16.1 Kalor Kalor jenis zat pada suhu suhu 25 C tekanan 1 atm . . . . . . . . . . . . . . . . . 63
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1 Analisis Analisis Ketidakpasti Ketidakpastian an Penguku Pengukuran ran dan Metode Grafik 1.1 Sumber Sumber Ketidak Ketidakpas pastian tian Pada percobaan fisika dasar dan juga pengambilan data pada praktikum maupun penelitian, hasil yang diperoleh biasanya tidak dapat langsung diterima karena harus dipertanggung jawabkan wabkan keberhasilan keberhasilan dan kebenarannya. kebenarannya. Hal ini disebabkan disebabkan oleh kemampuan kemampuan manusia yang terbatas dan ketelitian alat-alat yang dipergunakan mempunyai batas kemampuan tertentu. Dengan kata lain peralatan dan sarana (termasuk waktu) yang tersedia bagi kita membatasi tujuan tujuan dan hasil hasil yang yang dapat dapat dicapai dicapai.. Hasil Hasil percoba percobaan an baru baru dapat dapat diteri diterima ma apabila apabila harga besaran yang diukur dilengkapi dengan batas-batas penyimpangan dan hasil tersebut, yang disebut disebut sesatan sesatan (ketidakpa (ketidakpastian) stian).. Jika dari hasil tersebut tersebut diketahui diketahui penyimpangan penyimpangan terlalu terlalu besar, maka bila diperlukan, percobaan harus diulang kembali dengan berbagai cara, misalnya dengan mengulang pengukuran beberapa kali yang lebih teliti atau mengganti alat-alat percobaan dengan alat yang lebih baik ketelitiannya ketelitiannya.. Jadi jelaslah untuk keperluan keperluan ini mutlak diperlukan teori sesaat (ketidakpastian).
Penyebab Ketidakpastian Ada beberapa faktor yang menyebabkan ketidakpastian, yaitu: 1. Adanya Adanya nilai skala terkecil terkecil (NST) yang ditimbulkan ditimbulkan oleh keterbatasan keterbatasan dari alat ukur. 2. Adanya Adanya ketidakpasti ketidakpastian an bersistem: bersistem: a) Kesalahan Kesalahan kalibrasi. kalibrasi. b) Kesalahan Kesalahan titik nol. nol. c) Kesalahan Kesalahan pegas. d) Gesekan Gesekan pada bagian-bagian alat yang bergerak. bergerak. e) Paralaks Paralaks (arah pandang) pandang) dalam hal membaca skala.
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1 Analisis Analisis Ketidakpastian Ketidakpastian Pengukuran Pengukuran dan Metode Grafik
Pengukuran Besaran Fisika Pengukuran Pengukuran besaran fisis terbagi atas: 1. Pengukuran Pengukuran langsung yaitu yaitu hasil pengukuran secara secara langsung dari alat ukur, contohnya contohnya pengukuran besaran pokok seperti massa, panjang, waktu, suhu dan kuat arus. 2. Pengukuran Pengukuran tidak langsung yaitu pengukuran yang diperoleh dari turunan pengukuran langsung, contohnya pengukuran besaran turunan seperti massa jenis, volume, luas, gaya, kecepatan dan lainnya.
1.2 Analisis Ketidakpastia Ketidakpastian n Pengukuran Tunggal Satu Variabel Jika pengukuran suatu besaran hanya dilakukan sekali, maka ketidakpastian diperoleh dari skala terkecil alat ukur 1 (1.1) ∆x = NST. 2
Pengukuran Berulang Satu Variabel Untuk pengukuran dilakukan berulang maka rata-rata nilai pengukuran dapat dipeoleh sebagai x¯n = =
x1 + x2 + x3 + ...xn n n 1 xi . n
(1.2)
i=1
Nilai standar standar deviasi deviasi sebesar: sebesar:
n
∆x = sn =
i=1
(xi − x ¯n )2 , n−1
(1.3)
dengan n adalah banyaknya banyaknya pengambilan pengambilan data.
Perambatan Kesalahan Besaran Turunan Banya Banyakk besaran besaran-bes -besar aran an fisika fisika yang tidak tidak dapat dapat diukur diukur secar secaraa langsun langsung. g. Lebih Lebih sering sering kita dapati besaran-besaran itu sebagai fungsi dari besaran-besaran lain yang dapat diukur.
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1 Analisis Analisis Ketidakpastian Ketidakpastian Pengukuran Pengukuran dan Metode Grafik juga mengandung ketidakpastian ∆ρ. Permasalahannya bagaimana hubungan ∆m dan ∆V dengan ∆ρ? Misalk Misalkan an besaran besaran fisis Z (yang tidak dapat diukur secara langsung) merupakan fungsi dari besaran X dan Y (yang (yang dapat diukur secara secara langsung). Secara Secara matematis hubungan Z dengan X dan Y dinyatakan sebagai: Z ( Z (X, Y ) Y ) = Z ( Z (X 0 ± ∆X, Y 0 ± ∆Y ) Y ) ,
(1.5)
dengan menggunakan deret Taylor di sekitar (X 0, Y 0 ) dapat diperoleh: diperoleh:
∂Z ∆Z = ∂X
Ketelitian dan Ketepatan
∂Z ∆X + X + ∂Y Y
∆Y.
(1.6)
X
Suatu percobaan dikatakan memiliki ketelitian tinggi jika kesalahan percobaan (∆X (∆X ) kecil. Dan suatu percobaan dikatakan memiliki ketepatan tinggi jika kesalahan sistematik percobaan terseb tersebut ut kecil kecil.. Secar Secaraa matema matematis tis ketel ketelitia itian n dan ketep ketepata atan n suatu suatu percoba percobaan an dapat dapat ditulis ditulis sebagai: ∆X ketelitian = 1 − ¯ × 100% 100%,, (1.7) X
X literatur literatur − X percobaan ketepatan = 1 − X literatur literatur
100%.. × 100%
(1.8)
Percobaan yang baik harus sama-sama memiliki ketelitian dan ketepatan yang tinggi.
1.3 1.3 Metode Metode Grafi Grafik k Pada umumnya, proses pencarian nilai dari suatu besaran fisika, proses pencarian hubungan
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1 Analisis Analisis Ketidakpastian Ketidakpastian Pengukuran Pengukuran dan Metode Grafik dengan b adalah gradien grafik dan a adalah titik potong grafik terhadap sumbu y. 3. Membuat Membuat tabel yang diperlukan diperlukan untuk mengubah nilai variabel-va variabel-variabel riabel terkait beserta beserta ketidakpas ketidakpastianny tiannyaa menjadi menjadi variabel-va variabel-variabel riabel yang siap diplot ke dalam grafik. 4. Membuat Membuat grafik. grafik. 5. Menganalisa Menganalisa nilai besaran atau konstanta konstanta yang akan dicari dari grafik. 6. Membahas Membahas dan menyimpulk menyimpulkan an hasil yang didapatkan. didapatkan. Besaran atau konstanta yang akan dicari dari grafik biasanya berasal dari gradien (b) grafik atau titik potong grafik terhadap sumbu y (a). Penen Penentua tuan n b dan a dapat dilakukan secara manual setelah setelah grafik dibuat. Namun dapat pula ditentukan ditentukan dengan menggunakan menggunakan regresi linear, linear, sebagai sebagai berikut:
n
i
b =
n
i
i
x2i −
n
i
Dengan ketidakpastian ketidakpastian sebagai sebagai berikut (∆b (∆b)2 =
(
i
2)
xi
i
x2i −
n
i
i
yi 2
x2i yi −
n a =
xi yi −
i
,
xi
xi
i
i
xi yi 2
.
(1.10)
xi
(yi − a − bxi )2 2
,
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2 Dasa Dasar Penguku engukuran ran 2.1 Tujuan ujuan 1. Dapat melakukan melakukan pengukuran pengukuran dengan jangka jangka sorong, sorong, mikrometer sekrup, sekrup, gelas ukur dan neraca. 2. Dapat membandingkan membandingkan hasil pengukuran dengan jangka sorong sorong dan milimeter milimeter sekrup. 3. Dapat Dapat mengana menganalisi lisiss ketid ketidakp akpast astian ian pengukur pengukuran an pada pada masing masing-mas -masing ing alat ukur yang yang digunakan. 4. Dapat menghitung menghitung massa massa jenis benda.
2.2 Dasa Dasar Teori eori Fisika adalah sebuah ilmu yang mempelajari gejala yang terjadi di alam dari skala atomik yang sangat kecil kecil sampai dengan skala yang sangat besar yaitu alam semesta. Gejala-gejala Gejala-gejala tersebut tersebut dinamakan sebagai besaran fisis. Pengukuran Pengukuran besaran fisis dapat dilakukan dengan berbagai berbagai alat ukur yang yang sesuai. sesuai. Di dalam dalam fisika fisika kita mengenal mengenal besaran besaran pokok pokok dan besaran besaran turunan turunan.. Besar Besaran an pokok pokok adalah adalah besaran besaran yang yang satuann satuannya ya telah telah diteta ditetapk pkan an terleb terlebih ih dahulu dahulu sedangkan besaran turunan adalah besaran yang diturunkan dari besaran pokok. Dalam praktikum ini, kita akan mempelajari bagaimana cara mengukur besaran pokok dan
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2 Dasar Dasar Pengukuran Pengukuran
2.3.2 Prosedur Prosedur Percobaan Percobaan Pengukuran Dimensi Panjang 1. Ukurlah Ukurlah panjang panjang,, diamet diameter er benda benda yang yang disediak disediakan an dengan dengan alat ukur ukur mista mistar, r, jangk jangkaa sorong, mikrometer dan ulang minimal 10 kali. 2. Bandingkan Bandingkan hasil ukur masing-masing masing-masing alat dan cari masing-masing masing-masing ketidakpast ketidakpastianny iannya. a.
Pengukuran Massa Jenis Benda 1. Timbang massa massa beberapa b eberapa benda (minimal 10 kali p engukuran) engukuran) dengan menggunakan menggunakan neraca. Catat pula berapa ketidakpastian dari pengukuran tersebut. 2. Ukur Ukur dimens dimensii dari dari benda benda terseb tersebut ut (minima (minimall 10 kali kali pengukur pengukuran) an) dengan dengan jangk jangkaa sorong dan milimeter sekrup sekrup kemudian hitunglah hitunglah berapa b erapa volumenya. volumenya. Catat pula berapa ketidakpastian dari pengukuran. 3. Tentukan entukan massa jenis beserta beserta ketidakpas ketidakpastianny tiannyaa dengan perumusan pada Persamaan Persamaan (2.1). 2.1). 4. Ulangi percobaan percobaan dengan benda yang lain.
2.4 Tugas Pendahuluan Pendahuluan 1. Tentukan entukan persam p ersamaan aan massa jenis benda dan rambatan rambatan ketidakpas ketidakpastianny tiannyaa untuk benda berbentuk bola, silinder, kubus dan balok? 2. Bagaimana Bagaimana cara mengukur mengukur massa jenis zat cair dan gas?
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2 Dasar Dasar Pengukuran Pengukuran
Tabel 2.1: Massa Jenis beberapa Zat
Zat Cair Air (4 C) Air Laut Darah Bensin Air Raksa
Kerapatan (kg/m (kg/m3 ) 1.00 × 103 1.03 × 103 1.06 × 103 0.68 × 103 13 13..6 × 103
Zat Padat Es Auminium Besi & Baja Emas Gelas Kayu Tembaga Seng Platina Perak
Kerapatan (kg/m (kg/m3 ) 0.92 × 103 2.70 × 103 7.80 × 103 19 19..3 × 103 (2. (2.4 − 2.8) × 103 (0. (0.3 − 0.9) × 103 8.9 × 103 7.14 × 103 21 21..45 × 103 10 10..5 × 103
◦
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3 Gerak Gerak Tran Transla slasi si dan Rotasi Rotasi 3.1 Tujuan ujuan 1. Mempelajari Mempelajari hukum Newton II pada kereta kereta dinamika dan p esawat esawat Atwood. Atwood. 2. Mencari Mencari koefisien gesekan gesekan kinetis antara kereta dinamika dinamika dan landasan. 3. Menentuka Menentukan n momen inersia katrol katrol pesaw p esawat at Atwood. Atwood.
3.2 Dasa Dasar Teori eori Hukum Hukum II Newton Newton menyata menyataka kan: n: “Jika resultan resultan gaya gaya yang bekerja bekerja pada benda tidak tidak sama sama dengan nol maka akan timbul percepatan pada benda yang besarnya sebanding dengan besar
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3 Gerak Transla Translasi si dan Rotasi kereta dinamika secara kualitatif. Dalam percobaan ini kereta dinamika bergerak lurus dengan kecepatan yang bertambah, karena itu gerak kereta dinamika adalah gerak berubah beraturan yang dipercepat. dipercepat. Dengan demikian, demikian, jarak antara dua titik yang berturutan berturutan pada kertas kertas pita akan semakin besar. Dalam percobaan kereta dinamika ini anda dapat memvariasikan sudut kemir kemiringa ingan n dan massa massa keret keretaa dinamik dinamika. a. Perco Percobaan baan dengan dengan pesawa pesawatt Atwood Atwood ditunju ditunjukk kkan an seperti pada Gambar 3.2. Bila massa silinder silinder M 1 dan beban tambahan (M 1 + m) lebih besar daripada daripada massa silinder silinder M 2 , maka silinder M 1 dan beban tambahan tambahan m akan bergerak dipercepat ke bawah sedangkan silinder M 2 , akan bergerak ke atas dengan percepatan yang sama besarnya. Hal itu akan membuat katrol bersumbu tetap yang menghubungkan keduanya berotasi pada sumbu tetapnya. Pada tiap silinder berlaku hukum II Newton:
F =
Sedangkan Sedangkan untuk katrol katrol berlaku
m a.
τ = I α.
(3.2)
(3.3)
Dengan menjabarkan Persamaan (3.2 (3.2)) dan (3.3 (3.3)) di atas, kita dapat menurunkan persamaan untuk menghitung menghitung percepatan percepatan silinder, silinder, yaitu: yaitu:
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3 Gerak Transla Translasi si dan Rotasi
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3 Gerak Transla Translasi si dan Rotasi 2. Atur Atur kemiringan kemiringan landasan rel. Pasang Pasang pita kertas pada penjepit penjepit pita di posisi belakang belakang kereta kereta dinamika. dinamika. Pegang Pegang kereta dinamika dinamika pada posisi teratas. Lepaskan Lepaskan kereta kereta dinamika bersamaan dengan menghidupkan ticker timer . Tangkap angkap kereta kereta dinamika pada saat pendorong-pegas pendorong-pegas kereta tepat menyentuh menyentuh pembatas rel, jaga dengan hati-hati hati-hati (jangan sampai kereta terjatuh) dan segara matikan ticker timer dengan memutus saklar saklar penghubu penghubung. ng. Amati Amati jejak jejak ketikan ketikan ticker timer pada pita kertas, bila baik tandailah pita dengan mencatat kemiringan dan massa beban pada pita lalu lakukan langkah berikutnya. 3. Ulangi Ulangi langka langkah h 2 (untuk (untuk kemiri kemiringan ngan yang sama) sama) dengan dengan beban yang berbedaberbeda-beda beda (ambil minimal 10 data untuk beban yang berbeda). 4. Lakukan Lakukan langkah 2 sampai 3 dengan kemiringan kemiringan yang yang berbeda-beda (untuk beban yang tetap). Ambil minimal 10 data untuk kemiringan yang berbeda. 5. Ukur dan catatlah massa massa kereta dinamika dinamika dan massa beban tambahan dari setiap data yang diambil.
Pesawat Pesawat Atwood Atwood
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3 Gerak Transla Translasi si dan Rotasi 3. Lakukan Lakukan langkah 8 dan 9 hingga lima kali dengan jarak AC tetap sedangkan jarak AB dan jarak BC berbeda-beda melalui perubahan posisi B . 4. Berdas Berdasar arka kan n data data yang yang diperole diperoleh h buatlah buatlah grafik grafik S AB f (tAB ) dan grafik S BC AB = f ( BC = f ( f (tBC ).
3.4 Tugas Pendahuluan Pendahuluan Eksperimen Kereta Dinamika 1. Berdasark Berdasarkan an Gambar 3.1, 3.1, gambarkan gaya-gaya yang bekerja pada kereta dinamika! 2. Berdasark Berdasarkan an gaya-gay gaya-gayaa yang bekerja, tuliskan persamaan gerak kereta dinamika jika terdapat gaya gesekan dan tanpa gaya gesekan! 3. Berdasark Berdasarkan an prosedur prosedur eksperimen kereta kereta dinamika, dinamika, bagaimanakah bagaimanakah anda dapat mengetahui kesebandingan antara F ∼ m, dan F ∼ a? 4. Bagaimanaka Bagaimanakah h prediksi prediksi anda tentang tentang grafik F = f ( f (m) untuk a konstan, dan grafik untuk m konstan?
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3 Gerak Transla Translasi si dan Rotasi
3.5 Tugas Akhir Akhir Eksperimen Kereta Dinamika 1. Dengan Dengan mengan menganggap ggap frekuens frekuensii PLN 50 Hz (kons (konstan tan), ), ubahlah ubahlah data data pita ticker timer dalam tabel yang mengandung variable S waktu untuk lima ketukan, dan kecepatan rata-rata rata-rata untuk lima ketukan ketukan!! 2. Melalui Melalui tabel pada langkah langkah 1, buatlah buatlah grafik grafik v = f ( f (t) untuk setiap setiap percobaan. Tentukan percepatan sistem dari masing-masing percobaan berdasarkan grafik yang anda
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4 Band Bandul ul Matem Matemat atis is 4.1 Tujuan ujuan
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4 Bandul Matemat Matematis is
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4 Bandul Matemat Matematis is
4.5 Tugas Akhir Akhir 1. Buatlah Buatlah grafik hubungan antara antara T 2 dan l! 2. Dari Dari grafik grafik T 2 dan l, tentukan tentukan percepatan percepatan gravitasi! gravitasi! 3. Bandingkan Bandingkan hasil yang diperoleh melalui percobaan percobaan dengan literatur! 4. Cari Cari ketepatan ketepatan dan ketelitian ketelitian dari p ercobaan ercobaan tersebut! 5. Jelaskan Jelaskan faktor-fakto faktor-fakto yang yang dapat
aruhi hasil percob p ercobaan! aan!
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5 Koefisien oefisien Gesek Gesekan an 5.1 Tujuan ujuan
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5 Koefisien Koefisien Gesekan Gesekan
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14 Viskositas Viskositas Zat Cair Cair akhir atau kecepatan kecepatan terminal dari bola. Setelah Setelah gaya-gay gaya-gayaa pada bola b ola setimbang, setimbang, kecepatan kecepatan terminal v dari bola dapat diturunkan sebagai berikut: v=
2 r 2 g ( ρ − ρ0 ) , 9η
(14.2)
dengan g = 9.81 m/ m/ss2 adalah percepatan percepatan gravitasi. gravitasi.
Gambar 14.1: Gaya yang bekerja pada benda pada saat kecepatan terminal dicapai.
14.3 Metode Metode Percobaa Percobaan n 14.3.1 14.3.1 Alat Alat dan Bahan 1. Tabung zat cair. cair. 2. Bola Bola kecil kecil 2 buah. buah. 3. Stopwatc Stopwatch. h. 4. Pipa U. 5. Mikrometer Mikrometer sekrup, mistar, mistar, neraca. 6. Saringan Saringan untuk mengambil mengambil bola 7. Bahan Bahan cairan cairan berupa oli dan air.
14.3.2 Prosedur Prosedur Percobaan Percobaan Percoba Per cobaan an 1. Pengukur Pengukuran an Massa Jenis Bola 1. Ukur diameter diameter bola b ola kecil dengan mikrometer mikrometer skrup dan tentukan volume bola tersebut. tersebut.
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14 Viskositas Viskositas Zat Cair Cair
Tabel 14.1: Koefisien viskositas viskositas beberapa fluida ◦
Fluida
Suhu ( C)
Koefisien Viskositas η (Pa s)
Udara
0 20 40 20 20
0.0171 × 10 0.0182 × 10 0.0193 × 10 0.0147 × 10 0.0196 × 10
37 20 20 0 20 40 0 20
4 × 10 3 1500 × 10 3 0.584 × 10 3 1.78 × 10 3 1.00 × 10 3 0.651 × 10 3 110 × 10 3 30 × 10 3
Gas
Karbon bon dioksida Helium
−3 −3 −3 −3 −3
Zat cair Darah Gliserin Metanol Air
Oli motor
−
−
−
− −
−
−
−
2. Ukur massa bola kecil tersebut tersebut dengan pengukur massa. massa. 3. Ulangi langka langkah h 1 − 2 sebanyak 5 kali. 4. Hitung massa massa jenis bola kecil tersebut tersebut sesuai persamaan ρb = m/V . m/V . 5. Tentukan entukan pula rambatan kesalahanny kesalahannya. a. 6. Ulangi langka langkah h 1 − 5 untuk ukuran bola yang berbeda.
Percoba Per cobaan an 2. Pengukur Pengukuran an Massa Jenis Zat Cair 1. Siapkan Siapkan pipa U, kemudian masukkan masukkan air secukupny secukupnyaa sampai setimbang. setimbang. 2. Masukkan Masukkan oli pada salah satu ujung pipa U sehingga sehingga akan terlihat terlihat perbedaan ketinggian. ketinggian. 3. Saat telah setimbang, setimbang, ukur dan catat ketinggian ketinggian air dan minyak. 4. Ulangi langka langkah h 1 − 3 sebanyak 5 kali. 5. Hitung massa massa jenis oli dengan dengan ρoli holi = ρair hair , yang mana ρair = 1000 kg/m kg/m3. 6. Tentukan entukan pula rambatan kesalahanny kesalahannya. a.
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14 Viskositas Viskositas Zat Cair Cair
Percobaan 3. Pengukuran Karakteristik Karakteristik Viskositas Zat Cair 1. Catat suhu zat cair dengan termomete termometer. r. 2. Jatuhkan Jatuhkan bola sedemikian sedemikian rupa (jangan (jangan terjadi terjadi adanya adanya kecepatan kecepatan awal) awal) pada tabung berisi zat cair. 3. Amati Amati gerak bola dalam zat cair dan catat catat waktu waktu t1 untuk jarak tempuh x1 , waktu t2 untuk jarak tempuh tempuh x2 dan seterusnya sampai 5 kali pengukuran. 4. Buatla Buatlah h grafik grafik hubunga hubungan n antar antaraa jarak jarak x dan waktu waktu tempuh tempuh t, dari dari grafik grafik terseb tersebut ut tentukan tentukan besa b esarr kecepatan kecepatan terminal b ola v . 5. Ulangi langkah langkah percobaan percobaan 1 − 4 di atas untuk bola dengan ukuran yang berbeda. 6. Setelah Setelah diketahui diketahui kecepatan kecepatan gerak bola dalam zat cair tersebut tentukan tentukan koefisien viskositas masing-masing zat cair sesuai Persamaan (14.2 ( 14.2). ). 7. Hitung pula gaya gaya gesekan stokes stokes sesuai Persamaan Persamaan (14.1 ( 14.1). ). 8. Bandingkan Bandingkan koefisien koefisien viskositas viskositas yang anda peroleh dengan tabel viskositas viskositas beberapa zat cair di atas.
14.4 Tugas Pendahuluan Pendahuluan 1. Buktikan Buktikan Persamaan Persamaan (14.1 (14.1)) dan (14.2 (14.2)! )! 2. Bagaimanaka Bagaimanakah h penga p engaruh ruh suhu terhadap viskositas viskositas zat cair? Jelaskan! Jelaskan! 3. Apa yang mempengaruhi mempengaruhi besar gaya gaya gesekan pada benda yang berger b ergerak ak dalam fluida? Jelaskan!
14.5 Tugas Akhir Akhir 1. Tentukan entukan massa jenis bola dan cairan oli! 2. Buatla Buatlah h grafik grafik x terhadap t, kemudian tentukan kecepatan terminal bola dari grafik tersebut! 3. Tentukan entukan pula besa b esarr koefisien koefisien viskositas viskositas dan gaya gaya gesekan gesekan dari cairan oli yang dipakai dan bandingkan hasil yang anda peroleh dengan literatur Tabel 14.1! 4. Jelaskan Jelaskan faktor-fakto faktor-faktorr yang mempengaruhi mempengaruhi percob p ercobaan aan anda!
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15 Hukum Hukum Archi Archimed medes es 15.1 Tujuan 1. Menyelidiki Menyelidiki hubungan hubungan antara gaya ke atas dengan berat zat cair yang dipindahkan. dipindahkan. 2. Menentuka Menentukan n massa jenis zat padat dan zat cair berdasarkan berdasarkan hukum Archimedes. Archimedes.
15.2 Dasar Dasar Teor Teorii Pernahka Pernahkah h Anda membandingkan membandingkan berat antara kayu dan besi? Benarkah Benarkah pernyataan pernyataan bahwa besi lebih berat daripada daripada kayu? kayu? Pernyat Pernyataan aan tersebut tersebut tentunya tentunya kurang tepat, karena segelondong dong kayu kayu yang yang besar besar jauh jauh lebih lebih berat berat darip daripada ada sebuah bola besi. besi. Perny Pernyata ataan an yang yang tepat tepat untuk perbandingan antara kayu dan besi tersebut, yaitu besi lebih padat daripada kayu. Anda tentu masih ingat, bahwa setiap benda memiliki memiliki kerapatan kerapatan massa yang berbeda-beda serta serta merupak merupakan an sifat sifat alami alami dari dari benda benda terseb tersebut. ut. Dalam Dalam fisika fisika,, ukuran ukuran kepadatan kepadatan benda homogen disebut massa jenis ρ, yaitu massa m per satuan volume V . V . Secar Secaraa matema matematis tis,, massa jenis dituliskan sebagai berikut m ρ= . (15.1) V Massa jenis beberapa bahan dapat dilihat pada Tabel 15.1 berikut: Tabel 15.1: Massa jenis beberapa zat cair dan zat padat Bahan Massa jenis Bahan Massa jenis 3 gr/cm gr/cm gr/cm gr/cm3 Air 1.00 Gliserin 1.26 Aluminium 2.7 Kuningan 8.6 Baja 7.8 Perak 10.5 Benzena 0.9 Platina 21.4 Besi 7.8 Raksa 13.6 Emas 19.3 Tembaga 8.9 Es 0.92 Timah hitam 11.3 Etil alkohol 0.81
Anda tentunya sering melihat kapal yang berlayar di laut, benda-benda yang terapung pada permukaan permukaan air, atau batuan-batuan batuan-batuan yang tenggelam di dasar dasar sungai. sungai. Konsep Konsep terapung, melayang, atau tenggelamnya suatu benda di dalam fluida, kali pertama diteliti oleh Archimedes.
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15 Hukum Archimede Archimedes s Menurut Archimedes ”benda yang dicelupkan sebagian atau seluruhnya ke dalam fluida, akan mengalami gaya ke atas yang besarnya sama dengan berat fluida yang dipindahkan oleh benda”. Secara matematis, hukum Archimedes dituliskan sebagai berikut
F A = W − W ,
(15.2)
yang mana F A adalah gaya ke atas, W adalah berat benda di udara dan W adalah berat benda di dalam fluida. Ilustrasinya bisa dilihat pada Gambar 15.1. 15.1.
Gambar Gambar 15.1: Prinsip hukum Archimedes. Archimedes. Gaya ke atas memenuhi F A = ρf V f f g,
(15.3)
yang mana ρf adalah massa jenis fluida, V f f adalah volum benda yang tercelup pada fluida tersebut tersebut dan g adalah percepatan percepatan gravitasi. gravitasi. Berdasarkan Persamaan (15.3 (15.3)) dapat diketahui bahwa besarnya gaya ke atas yang dialami benda di dalam fluida bergantung pada massa jenis fluida, volume fluida yang dipindahkan, dan percepa percepatan tan gravitasi gravitasi Bumi. Dalam Dalam percobaa percobaan n ini akan akan ditent ditentuk ukan an massa massa jenis jenis benda sesuai prinsip Archimedes, dengan membandingkan besar gaya ke atas dan gaya berat di udara diperoleh massa jenis benda sebesar ρB = =
W ρfluida F A W ρfluida . W − W
(15.4)
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15 Hukum Archimede Archimedes s
15.3 Metode Metode Percobaa Percobaan n 15.3.1 15.3.1 Alat Alat dan Bahan 1. Neraca Neraca pegas. 2. Neraca Neraca analitik. analitik. 3. Statif Statif.. 4. Gelas Gelas beker beker dan pipa U. 5. Beban Beban logam. logam. 6. Jangka Jangka sorong. sorong. 7. Air dan minyak minyak goreng. goreng.
15.3.2 Prosedur Prosedur Percobaan Percobaan Percoba Per cobaan an 1. Hubungan Hubungan Gaya Gaya ke Atas dengan Berat Zat Cair yang yang Dipindahk Dipindahkan an 1. Tentukan entukan volume benda menggunakan menggunakan jangka jangka sorong. sorong. 2. Ukur massa jenis minyak minyak goreng dengan dengan pipa U. 3. Timbang dan catat berat silinder di udara dan di minyak goreng goreng dengan neraca pegas. 4. Ulangi langka langkah h 1 − 3 untuk benda yang berbeda. 5. Ulangi langkah langkah 1-3 sampai 5 kali untuk setiap benda yang yang berbeda.
Percobaan 2. Menentukan Volume Volume Benda 1. Tentukan entukan volume benda menggunakan menggunakan jangka jangka sorong. sorong. 2. Ukur massa jenis minyak minyak goreng dengan dengan pipa U. 3. Timbang dan catat berat silinder di udara dan di minyak goreng goreng dengan neraca pegas. 4. Ulangi langka langkah h 1 − 3 sampai 5 ulangan.
Percoba Per cobaan an 3. Menentuk Menentukan an Massa Jenis Benda
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15 Hukum Archimede Archimedes s 5. Timbang dan catat catat berat benda di dalam minyak minyak goreng. goreng. 6. Ulangi Ulangi langkah langkah 1- 5 sampai 5 ulangan. ulangan.
Percoba Per cobaan an 4. Menentuk Menentukan an Massa Jenis Cairan dengan dengan Hukum Archimedes Archimedes 1. Sediakan Sediakan beberapa benda b enda dari bahan yang sejenis. sejenis. 2. Ukur volume benda dengan jangka jangka sorong.
3. Timbang Timbang berat berat benda di udara udara (W ) W ) dan di dalam minyak (W ). 4. Ukur massa massa jenis minyak minyak dengan pipa U. 5. Ulangi Ulangi langkah langkah 1- 4 sampai 5 ulangan. ulangan.
15.4 Tugas Pendahuluan Pendahuluan 1. Bagaimana Bagaimana cara mengukur mengukur massa jenis zat cair, padat dan gas? 2. Bagaimana Bagaimana caranya caranya mengukur mengukur massa b enda dengan hukum Archimedes? Archimedes? 3. Tentukan entukan volume benda dari Persamaan Persamaan (15.2 (15.2)) dan (15.3 (15.3)! )! 4. Jelask Jelaskan an prins prinsip ip kerja kerja dari dari kapal kapal selam, selam, perahu, perahu, dan hidrome hidrometer ter berdasa berdasark rkan an hukum hukum Archimedes! 5. Mengap Mengapaa paku paku yang yang kecil kecil tengge tenggelam lam dalam dalam air, air, sedang sedangka kan n kapal kapal yang yang berat dapat mengapung?
15.5 Tugas Akhir Akhir Percoba Per cobaan an 1. Hubungan Hubungan Gaya Gaya ke Atas dengan Berat Zat Cair yang yang Dipindahk Dipindahkan an 1. Tentuk entukan an besar besar gaya gaya ke atas atas dengan dengan penguku pengukuran ran langsun langsungg berdasa berdasark rkan an Persa Persamaan maan (15.3)! 15.3)! 2. Tentukan entukan besar b esar gaya gaya ke atas dengan p engukuran engukuran berdas b erdasark arkan an Persamaan (15.2 (15.2)! )! 3. Bandingkan Bandingkan hasil yang yang diperoleh!
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15 Hukum Archimede Archimedes s 4. Bandingkan Bandingkan hasil yang diperoleh dan jelaskan! jelaskan! 5. Tentukan entukan ketelitia ketelitian n masing-masing masing-masing hasil yang diperoleh!
Percoba Per cobaan an 3. Menentuk Menentukan an Massa Jenis Benda 1. Buatla Buatlah h grafik grafik m − V , V , dan tentukan massa jenis benda sesuai hasil regresi linier dan perhitungan langsung dari Persamaan (15.1 (15.1)! )! 2. Tentukan entukan massa jenis minyak minyak dengan konsep konsep tekanan hidrostatik hidrostatik pipa U! 3. Tentukan entukan massa jenis benda sesuai sesuai Persamaan (15.4 (15.4)! )! 4. Bandingkan Bandingkan massa massa jenis benda dengan dua metode di atas!
Percoba Per cobaan an 4. Menentuk Menentukan an Massa Jenis Cairan dengan dengan Hukum Archimedes Archimedes
1. Buatlah Buatlah grafik grafik W − W terhadap V ! V ! Dari hasil regresi regresi linier tentukan tentukan massa jenis cairan minyak tersebut! 2. Tentukan entukan massa jenis minyak dengan pipa U! 3. Bandingkan Bandingkan hasil yang yang diperoleh!
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16 Kalo Kalorim rimete eterr 16.1 Tujuan 1. Menentuka Menentukan n kalor kalor jenis kalorimete kalorimeter. r. 2. Menentuka Menentukan n kalor jenis berbagai logam.
16.2 Dasar Dasar Teor Teorii Percobaan ini dilakukan berdasarkan asas Black. Jika dua benda dengan temperatur berlainan saling bersentuhan, maka akan terjadi perpindahan kalor dari benda dengan temperatur lebih tinggi ke benda yang temperaturnya lebih rendah. Pada keadaan setimbang, kalor yang dilepas sama dengan kalor yang diterima. Ilustrasinya bisa dilihat pada Gambar 16.1. 16.1.
Gambar 16.1: Kalorimeter.
Kalor Kalor adalah suatu bentuk energy yang mengalir atau berpindah karena adanya perbedaan
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16 Kalorimet Kalorimeter er rendah rendah.. Jika Jika suhu suhu benda lebih tinggi tinggi dari dari suhu suhu lingkun lingkungann gannya ya,ma ,maka ka benda terseb tersebut ut akan akan terus-menerus merambatkan energy sampai terjadi suhu terma yaitu saat suhu benda sama dengan suhu lingkungannya.
Kalor Jenis Suatu zat menerima kalor maka zat akan mengalami kenaikan kenaikan suhu. Besar Besar kenaikan kenaikan suhu ini: 1. Sebanding Sebanding dengan banyaknya banyaknya kalor yang diterima. 2. Berbanding Berbanding terbalik terbalik dengan massa zat. 3. Berbanding Berbanding terbalik dengan kalor kalor jenis zat. Hubungan diatas dapat digambarkan dalam rumus berikut: Q = m c ∆T ,
(16.1)
dengan Q adalah banyaknya kalor yang diterima, m adalah massa zat, ∆T adalah besarnya perubahan suhu dan c adalah kalor kalor jenis benda. b enda. Dari Persamaan Persamaan (16.1 (16.1)) di atas dapat diambil kesimpulan bahwa kalor jenis zat adalah banyaknya kalor yang diperlukan suatu zat untuk menaikkan suhu 1 kg zat tersebut sebesar 1 C. ◦
Kapasitas kalor Kapasitas kalor adalah banyaknya kalor yang diperlukan oleh suatu zat untuk menaikkan suhu sebesar 1 C. Hubunga Hubungan n antar antaraa banyakny banyaknyaa kalo kalorr yang yang disera diserap p oleh oleh suatu suatu benda terhadap terhadap kapasitas kalor benda dan kenaikkan suhu benda dapat ditulis sebagai: ◦
Q = C ∆ C ∆T
(16.2)
dengan Q adalah banyaknya kalor yang diperlukan, ∆T adalah besarnya perubahan suhu dan C adalah kapasitas kalor jenis benda. Kapasitas kalor jenis air dapat dianggap sama dengan 1 kal/g C. ◦
Hukum kekekalan energi untuk kalor Hukum Hukum keke kekeka kalan lan energy energy pada kalor kalor disebu disebutt juga juga dengan dengan asas Black Black yang: yang: “ Kalor Kalor yang dilepaskan oleh suatu benda adalah sama dengan kalor yang diterima oleh benda lainnya”. Dengan menggunakan asas Black, kalor jenis suatu benda dapat ditentukan dengan alat
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16 Kalorimet Kalorimeter er
◦
Tabel 16.1: Kalor jenis zat pada suhu 25 C tekanan 1 atm Kalor Jenis c Jenis zat J/kg C kal/g C Zat padat Aluminium 90 0 0 . 215 0. Berylium 1 83 0 0.436 Cadmium 230 0.055 Tembaga 387 0.0924 Germanium 322 0.077 Emas 129 0.0308 Besi 44 8 0.107 Timah 128 0.0305 Silikon 703 0.168 Perak 234 0.056 Kuningan 380 0.092 Kaca 837 0.200 Es (−5 C) 2090 0.50 Marmer 860 0.21 Kayu 1700 0.41 ◦
◦
◦
Zat cair Alkohol (etil) Raksa Air (15 C)
2400 140 4186
0.58 0.033 1.00
Gas Uap (100 C)
2010
0.48
◦
◦
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16 Kalorimet Kalorimeter er mencair sama dengan kalor beku saat air mulai membeku. Demikian juga dengan kalor laten penguapan pada air dan pengembunan pada uap 1000 C adalah sama. ◦
Perpindahan kalor Kalor perpindahan dari benda yang suhunya lebih tinggi ke benda bersuhu lebih rendah. Ada 3 cara perpindahan kalor yaitu: 1. Konduksi/h Konduksi/hanta antaran ran yaitu perpindahan kalor yang tidak diikuti dengan perpindahan perpindahan partikel. 2. Konveksi Konveksi/aliran /aliran yaitu perpindahan kalor yang diikuti dengan perpindahan perpindahan partike partikel. l. 3. Radiasi/panca Radiasi/pancaran ran yaitu perpindahan kalor kalor yang tidak memerlukan memerlukan media dalam perpindahannya.
16.3 Metode Metode Percobaa Percobaan n 16.3.1 16.3.1 Alat Alat dan Bahan 1. Kalorimet Kalorimeter er dan selubung selubung luar sebagai media ukur kalor jenis suatu zat. 2. Termometer ermometer sebagai pengukur suhu. 3. Gelas ukur sebagai sebagai pengukur volume. volume. 4. Keping-ke Keping-keping ping logam sebagai objek pengukuran. 5. Bunsen Bunsen sebagai pemanas. pemanas. 6. Heater Heater dan beaker gelas sebagai sebagai alat pengubah suhu benda.
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16 Kalorimet Kalorimeter er
Percobaan Percobaan 2. Pengukuran Pengukuran Kalor Kalor Jenis Logam 1. Logam yang telah ditimbang ditimbang dimasukkan dimasukkan kedalam tabung pemanas dan panaskan. 2. Timbang kalorimete kalorimeterr serta serta pengaduknya. pengaduknya. 3. Timbang kalorimete kalorimeterr serta serta pengaduknya pengaduknya setelah diisi air kira-kira kira-kira
3 4
bagian.
4. Masukkan Masukkan kalorimet kalorimeter er ke dalam selubung luarnya luarnya dan catat temperaturny temperaturnya. a. 5. Catat temperatur temperatur keeping-kep keeping-keping ing logam. 6. Masukkan Masukkan logam tadi kedalam kedalam kalorimeter kalorimeter dan catatlah catatlah temperatur temperatur seimbangnya. seimbangnya. 7. Ulangi langka langkah h 1 − 6 untuk logam lain
16.4 Tugas Pendahuluan Pendahuluan 1. Berikan Berikan pembahas p embahasan an tentang asas Black sehingga sehingga mendapatka mendapatkan n rumus yang kita gunakan untuk menghitung kalor jenis kalorimeter? 2. Apakah Apakah yang dimaksud dimaksud dengan kalorimet kalorimeter? er? 3. Apa yang dimaksud dimaksud dengan kalor kalor jenis suatu benda? 4. Apakah Apakah yang dimaksud dengan keadaan keadaan setimbang? 5. Jelaskan Jelaskan dan berilah contoh mengenai mengenai 3 jenis perpindahan perpindahan panas!
16.5 Tugas Akhir Akhir
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Kepustakaan 1. Serway Serway,, R. “ Physics Physics for Scientists Scientists & Engineers Engineers with Modern Mo dern Physics” Physics” , James Madison University Harrison Burg, Virginia, 1989. 2. Resnick Resnick & Haliday, Haliday, “ Fisika Fisika Jilid I ” Erlangga (Terjem (Terjemahan). ahan). 3. Resnick Resnick & Haliday, Haliday, “ Fisika Fisika Jilid II I I ” Erlangga Erlangga (Terjema (Terjemahan). han). 4. Tipler, Tipler, P. ” Fisika Fisika Untuk Sains dan Teknik Jilid I” Erlangga Erlangga (Terjemah (Terjemahan). an). 5. Tipler, Tipler, P. ” Fisika Fisika Untuk Sains dan Teknik Jilid II” Erlangga (Terjem (Terjemahan). ahan).