Question

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

Answer 1

Correct Answer - C

`tau=l alpha `
`F xx R =MR^(2) alpha `
`30 xx 0.4 =3xx(0.4)^(2) alpha `
`12=3xx 0.16 alpha `
`400=16 alpha`
`alpha=25 rad//s^(2)`