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Q.

A point on the rim of a wheel 3m in diameter has linear velocity of 18 ms−1.The angular velocity of the wheel is

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a

4 rad s−1

b

12 rad s−1

c

6 rad s−1

d

18 rad s−1

answer is B.

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Detailed Solution

d=3mdiameter

d=2r radius r

v=18m/s

r=32=1.5m

v=rω

18=32ω

ω=12rad/s

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A point on the rim of a wheel 3m in diameter has linear velocity of 18 ms−1.The angular velocity of the wheel is