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An object completes 1/4th revolution of ...

An object completes 1/4th revolution of a circular path of radius r. Then find the ratio of distance and displacement.

Text Solution

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Distance = `(2pir)/4=(pir)/2`
Displacement = `sqrt2r`
Ratio of distance and displacement = `(picancel(r))/2:sqrt2cancel(r)=pi:2sqrt2=(cancel(22)^(11))/7:cancel(2)sqrt2=11:7sqrt2`
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