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An insect trapped in circular groove of ...

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

A

4.3 cm `s^(-1)`

B

5.3 cm `s^(-1)`

C

6.3 cm `s^(-1)`

D

7.3 cm `s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, r=12 cm, frequency, `v=(7)/(100)rps`
The angular speed of the insect is
`omega=2piv=2pixx(7)/(100)=0.44rads^(-1)`
The linear speed of the insect is `v=omegar=0.44xx12=5.3cms^(-1)`
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