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. `5m//s ^(2)`
D. `25 m//s ^(2)`

Explanation

Holow cylinder is equivalent to ring
`I _("ring") = MR^(2)`
`tau = 1alpha " "...(1)`
`tau = FR " "...(2)`
`I alpha = FR`
`MR ^(2) alpha = FR implies MR alpha = F`
`alpha =( F )/(MR) implies (30)/( 3 xx 40 xx 10 ^(-2)) implies alpha = 25` rad/s