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An ant is crawling on the rim of a circu...

An ant is crawling on the rim of a circular plank of radius 7cm. Calculate the distance and displacement of ant in (a) completing one round, (b) in completing 2.5 round and (c ) half around.

Text Solution

Verified by Experts

(a) Given, radius of circular plank r=7cm
Distance travelled by ant in one circle =2`pir`
`=2xx3.14xx7=43.96cm`
Displacement in one round=zero
(b) In 2.5 rounds
Distance`=2.5xx2pi r`
`=2.5xx43.96=109.9cm`.
(C ) In half round
Distance `=(2pir)/(2)=(43.96)/(2)=21.98cm`
Displacement `=7+7=14`
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Knowledge Check

  • A particle moves along a circular path of radius R. The distance and displacement of the particle after one complete revolution is

    A
    `0,2pir`
    B
    `2pir, 0`
    C
    `0,pi r`
    D
    `pir, 0`
  • A particle moves along a circular path of radius R. The distance and displacement of a particle after one completer revolution is

    A
    `0, 2 pi r`
    B
    `2 pi r, 0`
    C
    `0, pi r`
    D
    `pi r, 0`
  • An object is moving in a circle of radius r. Calculate the displacement when it completes one full circle.

    A
    `2 pi r`
    B
    `4 pi r`
    C
    zero
    D
    `pi//2`