A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A constant tangential force equal to 89.0N is applied to the rim of the wheel. The wheel has radius 0.100m . Starting from rest, the wheel has an angular speed of 12.2rev/s after 3.35s .

A
What is the moment of inertia of the wheel?
Express your answer with the appropriate units.

Question

A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A constant tangential force equal to 89.0N is applied to the rim of the wheel. The wheel has radius 0.100m . Starting from rest, the wheel has an angular speed of 12.2rev/s after 3.35s .



A
What is the moment of inertia of the wheel?
Express your answer with the appropriate units.

anonymous · Answer

find alpha from  
$$\omega _{f} = \omega _{i} +\alpha t$$

anonymous · Answer

once you have it you can use: 
$$\tau =Fr = 89.0*.1 = I \alpha $$
to find I

anonymous · Answer

thank you :) your my saviour as always :)

anonymous · Answer

sure

anonymous · Answer

is alpha negative?

anonymous · Answer

no, "starting from rest"
omega f =  24.4pi  rad.s /sec

anonymous · Answer

oh okay