Alexander Hyatt
Physics Lab 124021
April 11, 2007
Abstract
The purpose of this lab experiment was to investigate rotational dynamics.
More
specifically, how the changes in torque and the moment of inertia affect the angular
acceleration of a rotating system.
Also included in the experiment, was determining the
moments of inertia of various rotating bodies. The moment of inertia was found in two
ways: experimentally and theoretically.
The theoretical value was found by using an
equation which used measured values to calculate the moment of inertia. The
experimental value was found by taking the torque and dividing it by the angular
acceleration.
The percent difference was taken between the two values.
Experiment
Note: rs is a constant used through all three experiments and its value is .0125 m.
Table 1
Data Table Exercise 1: Rectangular Bar
Bar mass, Mb
=
.558 kg
Bar length, a
=
.51 m
Bar width, b
=
.06 m
Total hanging
Rotational
mass, mh
acceleration, α
Torque,
τ
(kg)
(rad/s^2)
(N m)
0.055
0.533
0.006740
0.075
0.719
0.009188
0.095
0.906
0.011636
0.115
1.11
0.014082
0.135
1.325
0.016526
0.155
1.51
0.018970
0.175
1.74
0.021412
0.195
1.91
0.023854
The first experiment involved rotating a rectangular bar.
Again, to find the
moment of inertia, I, the torque needed to be divided by the rotational acceleration.
The
data was graphed in excel, and the slope of the trend line was found.
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Alexander Hyatt
Physics Lab 124021
April 11, 2007
Table 2
Data Table Exercise 2: Solid Disk
Disk mass, Md
=
1.401 kg
Disk radius, Rd
=
.115 m
Total hanging
Rotational
mass, mh
acceleration, α
Torque,
τ
(kg)
(rad/s^2)
(N m)
0.055
0.742
0.006738
0.075
1.05
0.009185
0.095
1.32
0.011630
0.115
1.63
0.014073
0.135
1.9
0.016514
0.155
2.15
0.018955
0.175
2.48
0.021392
0.195
2.74
0.023828
Exercise 2 was done with a Solid Disk.
A graph of rotational acceleration vs.
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 Spring '07
 Jay
 Acceleration, Angular Momentum, Inertia, Moment Of Inertia, Rotation, Alexander Hyatt

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