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A wheel having moment of inertia 2 kg m^...

A wheel having moment of inertia `2 kg m^(2)` about its vertical axis, rotates at the rate of `60 rpm` about this axis. The torque which can stop the wheel's rotation in one minute would be

A

`(2pi)/(15)N-m`

B

`(pi)/(12)N-m`

C

`(pi)/(15)N-m`

D

`(pi)/(18)N-m`

Text Solution

Verified by Experts

The correct Answer is:
C
`I= 2kg m^(2), f = (60)/(60)= 1r ps`
`omega= 2pi` rad/sec
`alpha= (2pi)/(60)` rad/sec
`tau= I alpha = 2 xx (2pi)/(60) = (pi)/(15) N-m`
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