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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

60ms−2

b

π/30ms−2

c

π/15ms−2

d

π/60ms−2

answer is D.

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Detailed Solution

α=ω2−ω1/t=(400−100)/5=60revmin−2=60×2π(60)2=2π60rads−2at=αr=2π60×50100=π60ms−2

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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.