Motion in Straight Line

Question

A particle completes one revolution in 6 seconds along the circumference of radius 20cm. What is the total length of the path travelled by the particle in 15 seconds and displacement in 15 seconds?

Answer

Given,  

Time taken by the particle to complete 1 revolution = 6 s 

Radius of the circle = 20 cm 

No. of revolutions made in 15 seconds = 2.5 revolution

After 2.5 revolutions, the particle will be at the point diagonally opposite to the starting point. 

So, Displacement of particle = 2r = 40 cm

Distance travelled by the particle = Total length of the particle. 

Distance = total length of the path = 2.5x2πr = 100 π cm 

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