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Q.

Two wheels having radii in the ratio 1:3 are connected by a common belt. If the smaller wheel is accelerated from rest at a rate df 1.5 rad/s2 for 10 s. Find the angular velocity of bigger wheel.

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a

15 rad/s

b

10 rad /s

c

5 rad /s

d

25 rad /s

answer is C.

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Detailed Solution

as they are connected they have same linear velocity r1ω1 =r2ω2 ω2=r1r2ω1 ω1=αt =15 ω2=1315 = 5

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Two wheels having radii in the ratio 1:3 are connected by a common belt. If the smaller wheel is accelerated from rest at a rate df 1.5 rad/s2 for 10 s. Find the angular velocity of bigger wheel.