The graph below shows a measurements of the angular velocity from the rotary mot

Question

The graph below shows a measurements of the angular velocity from the rotary motion sensor along with a line fit, as taken by DataStudio. The hanger mass was 24.2 g and the pulley radius is 14.5 mm. An object different from either the ring or the disk was attached to the turntable. From the information in the graph and what is given above, calculate the moment of inertia of the rotating turntable plus the object attached to it. Assume g = 9.81 m/s^2 and that friction can be ignored. Select the correct answer including units. I_T+object =

Explanation / Answer

Torque = I alpha

mgr = I alpha

Here I is moment of inertia, alpha is angular aceeleration

alpha = slope of w-t curve,

= 24.305

moment of inertia I = mgr/[alpha]

= 0.0242*9.81*0.0145/24.305

= 0.0001416 kgm^2

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