Question

An object A moving with uniform velocity v as shown is figure. The angular velocity of A observed from point O is 1) v/d 2 )v/2d 3) v/ √ 2 d 4) v/ 2√ 2 d

Answer 1

Explanation:

ANSWER

The particle starts from point P and after half rotation, it reaches at Q via path PMQ.

Distance covered by particle to reach at Q is d=πR

Time taken, t=

v

d

=

v

πR

Displacement of the particle, s=PQ=2R

∴ Average velocity, v

avg

=

t

s

=

v

πR

2R

=

π

2

v