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Q.

A particle is moving in a circular path of radius 2m with constant angular speed $ω$ . In a time $t = \frac{π}{3 ω}$ , distance travelled by it and displacement are respectively

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a

$3 m, \frac{π}{3} m$

b

$\frac{π}{3} m, 3 m$

c

$2 m, \frac{2 π}{3} m$

d

$\frac{2 π}{3} m, 2 m$

answer is D.

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Detailed Solution

$θ = w t, d i s \tan c e = R θ, d i s p l a c e m e n t = 2 R \sin (\frac{θ}{2})$

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