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Question

A particle is moving along a circular track of radius 12 cm.

(i) What is the resultant displacement in one revolution ?

(ii) What is the distance travelled by the particle in two and a half revolutions ?

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Solution

i) The resultant displacement will be zero because after one revolution the particle returns to its initial position.

ii) Here,

r = 12 cm

Distance travelled in 1 revolution = 2Ï€r

Distance travelled in 2½ revolution = (5/4) × 2Ï€r

= (5/4) × 2 × 22/7 × 12

= 94.3 cm

= 94 cm (approx)


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