A rope is wound around a hollow cylinder of mass `3 kg` and radius `40 cm`. What is the angular acceleration of the cylinder if the rope is pulled with a force of `30 N` ?

Options

A. `0.25 rad//s^2`
B. `25 rad//s^2`
C. `5 m//s^2`
D. `25 m//s^2`

Answer

B

Explanation

(b) `tau = I prop`
`RF = mR^2 prop`
`prop = (F)/(mR) = (30)/(3 xx (40)/(100)) = 25 rad//s^2`.
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