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An insect trapped in a circular groove o...

An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolutions in 100 s.
What is the angular speed and the linear speed of the motion?

Text Solution

Verified by Experts

Here, radius of circular groove, r = 12 cm and
time period, T = `(100)/(7)`s
Hence, angular speed,
`omega = (2pi)/(T ) = (2xx 3.14 xx 7 )/(100) = 0.44 " rad" cdot s^(-1)`
and linear speed ,
` v = r omega = 12 xx 0.44 = 5.28 " cm" cdot s^(-1)`
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