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Q.

The angular velocity of a particle moving in a circle of radius 50 cm is increased in 5 min from 100 revolutions per minute to 400 revolutions per minute. Find the tangential acceleration of the particle.

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a

60 ms-2

b

π/30 ms-2

c

π/15 ms-2

d

π60ms-2

answer is D.

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Detailed Solution

α=ω2-ω1/t=(400-100)/5=60 rev min-2 =60×2π(60)2=2π60rads-2 at=αr=2π60×50100=π60 ms-2
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