Question

A particle moves in a circle of radius 20cm with a linear speed of 10m /sec.find the angular velocity

Answer 1

radius of circular path , r = 20m
linear speed of particle moves in circular path , v = 10m/s

we know, formula $v=\omega r$

where $\omega$ is angular velocity, v is linear velocity of particle and r is the radius of circular path.

$\omega$ = v/r

= 10/20 = 0.5 rad/s

hence, angular velocity of particle is 0.5 rad/s

Answer 2

Answer:

v=r/w

v= 10m/s

r= 0.20m

w=v/r =10*100/0.20

=50 rad/s (ans)