Question

A particle is moving along a circle such that it completes one revolution in 40 seconds. In 2 minutes 20 seconds, the ratio |displacement|/distance is

Answer 1

For one revolution 2pi *r distance is covered. For 1 revolution 40 s required ,so 140 s(2min 20 s) require 3.5 revolution. 3.5 revolution =7pi *r distance. So displacement =2R.ratio =2/(7*3.14).ie, 1/11

Answer 2

one revolution =40sec
In 2min20sec(140sec)=140/40
3+1/2 revolution
displacement=pi r square/2
distance=3pi r Square+pi r square
therefore
displacement/distance=pi r square/2/pi r square (7/2)
= 7
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