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A boy whirls a stone tied to a thread ,s...

A boy whirls a stone tied to a thread ,such that the stone moves uniformly in a circle. What must be the length of the thread if the stone completes 42 rounds in a minute with a uniform speed of `2.2 ms^(-1)` ?

Text Solution

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Here length of the forms the radius of the circular path in which the stone moves.
Given frequency of revolution
v = 42 rev/minute
v = `(42)/(60)`revls
but speed v `= (2pi R)/(T) = 2 pi`Rv
or ` R = (v)/(2 pi v) = (2.2)/(2 xx (22)/(7) xx(42)/(60)) = 0.5 m`
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