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A rope is wound round a hollow cylinder ...

A rope is wound round 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 ? What is the linear acceleration of the rope ?

A

`25 m//s^(2)`

B

`0.25 rad//s^(2)`

C

`25 rad//s^(2)`

D

`5 m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
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)`
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