g 2Y
v = X
v2
= X 2
g 2Y
ln v 2 = ln X 2
g 2Y
g 2Y v X 2 ln = 2 ln ln + + ln g − ln(2Y )
2 ln v = ln X 2 + ln
2 ln v = 2 ln ln X + + ln g − ln 2 − ln Y d(2ln v ) dv 2 v dv v E E E
= d(2ln X ) + d(ln g ) − d(ln2) − d(ln Y ) dX dg dY + −0− X g Y dX d Y − X 2Y E E − 2 < Y > E E + − E E + 2 < Y >
= 2 = =
= =
g g = L
4π 2 L T 2
,
T L = (95, 2 ± 0, 1) [cm] T = (1, 96 ± 0, 03)[s], g
L
T
g ± g g ± g ) (T ± T )2
(g ± g
) (
T 2 + 2T T + T 2
=
4π 2 (L ± L) (T ± ∆T )2
= 4π 2 (L ± L) = 4π 2 (L ± L)
gT 2 + g T 2 + 2T g T ± gT 2 ± g 0 T 2 ± g 2T 0 T = 4π 2 (L ± L) gT 2 + g T 2 + 2T g T ± gT 2
= 4π 2 L ± 4π 2 L
gT 2 + g T 2 + 2gT T ± gT 2
= gT 2 ± 4π2 L
2gT T ± gT 2 = ±4π2 L ±4π2 L 2gT T g = ± 2 2 T 2g T ± g T T g ± T 2g T g ± 2g T g ± 2g g ± g E ± E ± E
978, 328130817
= = = = = = = =
cm s2
E
(978, 328130817) cm s
=
2
E
(978, 328130817) cm s
0, 1 [cm] 0, 03 [s] + 2 95, 2 [cm] 1, 96 [s]
= 30, 976475931
2
E
g g
= (0, 309764759)
= (9, 8 ± 0, 3) = 3, 1 %
m s2
m s2
T ±4π2 L T 2 ±4π2 L T 2 1 L 2 L 1 L T − T 2 L L T −2 L T E E −2 E E + −2 E E + 2
1 [mm] 1%
5% H
D H = (106, 7 ± 0, 3) [mm] D = (45, 5 ± 0, 2) [mm]
V i V = (221, 80 ± 0, 40)[V ] i = (2, 60 ± 0, 20)[A] V = iR
R
h
t
=
2h
t
g
t g
g =
4π 2 L
T 2
g
