Q.

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

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a

4.3 cm s-1

b

5.3 cm s-1

c

6.3 cm s-1

d

7.3 cm s-1

answer is B.

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Detailed Solution

Here, r = 12 cm             Frequency v = 7100HzThe angular speed of the insect isω = 2πv = 2π ×7100 = 0.44 rad s-1The linear speed of the insect isv = ωr = 0.44×12 = 5.3  cm s-1
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An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and completes 7 revolution in 100 s. The linear speed of the insect is