First slide

Circular motion in horizontal plane

Question

A particle moves with constant speed along a circular path of radius 1m. Time period of revolution of the particle is 2 sec. Then magnitude of average velocity of the particle when it moves from one point to the diametrically opposite point is

Moderate

A

$π m / s$
B

2 m/s
C

$2 π m / s$
D

2.5 m/s

Solution

Displacement $= 2 r = 2 \times 1 m = 2 m$
Time taken by the particle $= \frac{T}{2} = \frac{2}{2} \sec = 1 \sec$
$∴$ Magnitude of average velocity $= \frac{Displacement}{Time} = \frac{2}{1} m / s = 2 m / s$

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