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Physics lab report 11; Moments of Inertia

# Physics lab report 11; Moments of Inertia - Alexander Hyatt...

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Alexander Hyatt Physics Lab 124-021 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 124-021 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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Physics lab report 11; Moments of Inertia - Alexander Hyatt...

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