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Q.

A wheel having radius 10cm is coupled by a belt to another wheel of radius 30cm. 1st  wheel increases its angular speed from rest at a uniform rate of 1.57rads2 . The time for 2nd  wheel to reach a rotational speed of 100rev/min is ….(assume that the belt does not slip)

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a

20 sec

b

10 sec

c

1.5 sec

d

15 sec

answer is A.

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Detailed Solution

r1=0.1m,   r2=0.3m

r1ω1=r2ω2

ω0=0

r1(ω0+αt)=r2ω2

N2=100rev/min

10×1.57×t=30×2π×10060

t=20sec

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