A stone moving along a circular path makes 20 revolutions in 10 seconds. What is the angular velocity of the stone?
19.64 rad/sec
12.47 rad/sec
20 rad/sec
40 rad/sec
A
40 rad/sec
B
19.64 rad/sec
C
12.47 rad/sec
D
20 rad/sec
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Solution
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Given that,
Number of revolutions made by stone= N= 20
Time taken to complete 20 revolutions = t= 10 sec
∴ frequency of the revolutions= f=Nt=2010=2sec−1
∴ Angular velocity of the stone = ω=2πf=2×3.14×2=12.47rad/sec
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