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A wheel is attached to a fixed shaft, and the system is free to rotate without...

A wheel is attached to a fixed shaft, and the system is free to rotate without friction. To measure the moment of inertia of the wheel– shaft system, a tape of negligible mass wrapped around the shaft is pulled with a known constant force F. When a length L of tape has unwound, the system is rotating with angular speed ω0. Find the moment of inertia I0 of the system.

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Answer #1

Moment of inertia = I0
Constant applied force = F
Unwound length = L
Angular Velocity at this time = w0
Let the radius of the wheel be r
then F r = I0 * a ( a = angular acc)
and 2 * a * l = w02
so, I0 = F * r * 2 * L /w02

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