A rope is wound round a hollow cylinder of mass `3 kg and radius 40 cm`. If the rope is pulled with a force of `30 N`, what is the angualr acceleration of the cylinder ?

Options

A. `"25 rad s"^(-2)`
B. `"10 rad s"^(-2)`
C. `"35 rad s"^(-2)`
D. `"40 rad s"^(-1)`

Answer

A

Explanation

Torque, `tau=l alpha`
`rArr" "30xx40xx10^(-2)=3xx(40xx10^(-2))^(2)xx alpha`
`rArr" "30=3xx40xx10^(-2)xx alpha`
`rArr" "alpha=(1)/(4)xx100="25 rad s"^(-2)`