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Colorado Technical University
Rotational Motion: Moment of Inertia
Lab Report 6 Professor Wenton Davis Submitted in Partial Fulfillment of the Requirements for PHY211 Physics I Mechanics
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This lab report will outline the experiment looking at rotational motion and the mome
inertia. This will be done using a moment of inertia apparatus, and using those numbe
perform calculations. The numbers that will be found are the moment of inertia and fric torque.
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Rotational Motion: Moment of Inertia
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Hypothesis
The purpose of this experiment is to see if the moment of inertia and frictional torqu
be measured for a irregularly-shaped wheel. This will be done using a moment of i apparatus and hand calculations. Theory
The premise is that if the following data points are collected, the results can giv
moment of inertia and torque. The weight of the apparatus, the diameters of the hubs
distance the weight will travel and the average time for each weight to drop from each hub
be the data points needed. Once this is found, the following can also be found; velocity, av
velocity, final velocity, and acceleration. With those numbers found, the tension, an You're Reading a Preview
acceleration, and torque applied by the string can also be calculated. After all of that is foun Unlock full access with a free trial.
torque and angular acceleration can be graphed and the moment of inertia and frictional t Download With Free Trial will be produced. Calculations
Master your semester with Scribd v v v v x v V a 2 t t & The New York Times =
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o +
=
−
o
30this Days Sign on title T = mRead aFree aFor τ = rT ( g −up )to vote = r α
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Table 1. Equations Used in this Lab
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Table 1. was used to find the various pieces of data requested and those results are foun
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Table 2. Measurements
Configuration Distance traversed, cm Radius of hub.cm Radius of hub, m Mass of hub, kg Average time, s Average velocity m/s Final velocity, m/s Acceleration 2 m/s Tension in string, N Angular acceleration, 2 rad/ s Torque applied by string, Nm
1 50g on small hub
2 100g on small hub
3 50g on large hub
4 100g on large hub
69
69
69
69
5.68
5.68
8.02
8.02
2.84
2.84
4.01
4.01
3.64 6.32
3.64 4.31
3.64 4.36
3.64 2.91
0.11
0.16
0.16
0.24
0.32 0.32 You're Reading a Preview 0.074 0.073
0.48
0.97 0.49 Download With Free Trial
0.96
0.22 0.035 0.49 1.23
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2.6
1.82
0.16
3.99
Master your semester with Scribd Read Free Foron 30this Days Sign up to vote title TableYork 2. These are all of the measurements and the results of the equ used from Tabl & The New Times Not useful Useful ations 0.014
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0.028
0.020
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0.038
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Experiment 6 0.045 0.04 0.035 0.03 0.025 m N 0.02 0.015 0.01 0.005 0
Experimental Data Best fit line
0
1
2
3
4
5
rad/s^2
Graph 1. Moment of inertia 0.02 1.9
Frictional torque
You're Reading a Preview Table 3. Final Results
0.005Nm
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Analysis Download With Free Trial This lab was completed fairly smoothly with results that made sense. There are a co
things to note in the performance of this lab. The apparatus was not clamped to the table i
traditional manner but was stood Scribd on by one of the students. Also, the weight washaving Master your semester with Read Free Foron 30this Days Sign up to vote title & The New York Times Useful Not than usefulthe bottom o released from point marked on the side of the table that was much lower Special offer for students: Only $4.99/month.
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apparatus. The times were taken by four different stop watches and operators. After each run
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said there is some experimental error that was not taken into account in the final results fou
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Table 3. Conclusion
This experiment was successful in being able to measure the moment of inertia a addition find the frictional torque of the bearings. When the experiment was conducted
were a few adjustments made to the original set up which means there is experimental err
the results. However despite that, the numbers that were taken were still able to give reaso
accurate results. So the moment of inertia and frictional torque were found for the mome inertia apparatus.
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