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A wheel is rotating at 900 rpm about its...

A wheel is rotating at 900 rpm about its axis. When the power is cut off, it comes to rest in 1 min. The angular retardation (in rad `s^(-2)`) is

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
A
Use `omega= omega_(0)+alphat`
Here `omega_(0)=900 rpm =(2pi xx 900)/(60) "rad"//s`
`omega= 0 and t=60`
`0=(2pixx900)/(60)+alphaxx60`
`alpha=-(2pixx+900)/(60xx60)`
`=(pi)/(2)`
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