A particle is moving with a constant speed of 25 m/s in 90 m radius circle what is the angular speed in radian per second about the center of a circle

the angular speed in radian per second about the center of a circle is 0.278 rad/s

Explanation:

Given;

Linear velocity v = 25m/s

Radius of circular path r = 90m

The linear velocity of the particle can be expressed as a function of the angular speed as;

Linear velocity = angular speed * radius of path

v = wr

w = v/r

Where;

v = linear velocity

r = radius

w = angular speed

Substituting the given values, we have;

w = 25/90 = 0.278 rad/s

the angular speed in radian per second about the center of a circle is 0.278 rad/s