Sat August 11, 2012 By:

An insect trapped in a circular groove of radius 12cm moves along the groove steadily and completes 7 revolutions in 100seconds. What is its linear displacement ?

Expert Reply
Sun August 12, 2012
Assuming that the grove is attached to a wheel which is free to move on a linear path:
revolutions made by wheel : 7 in 100 sec
thus angular velocity: 7(2pi)/100
radius of wheel: 12cm
thus linear displacement in wheel: 7(2pi)(12) = 527.78 cm
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