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A flywheel, in the form of a solid disc, of mass 25 kg has a radius of 0.2 m. It is making 240 rpm. If the torque is due to a force applied tangentially on the rpm of the fly wheel, what is the magnitude of the force to bring it to rest in 20 sec ?

a
8.48 N
b
3.14 N
c
1.57 N
d
6.28 N

detailed solution

Correct option is B

I=12 ×  25  ×0.22  kg−m2=0.5  kg−m2α  =  ω0t =  π×24030 ×20  rad/s2=1.256  rad/sec2∴   τ=F     R=I α⇒  F=0.5  ×  1.2560.2   N=3.14N

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