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

Answer

C

Explanation

`tau= I alpha`
`alpha= (30 xx 0.4)/(3 xx 0.4 xx 0.4)`
`alpha= 25` rad/`s^(2)`