A particle moves in a circle of radius 20 cm with a linear speed of 10m/s. Find the angular velocity. I've solved this question and got the right ans that is 50rad/s but my doubt is here linear speed is what? While solving I considered linear speed as tangential speed but linear acceleration is directed towards centre so is linear speed directed towards centre in this question? If so then pls solve it and tell me the meaning of this question. Thanks!
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Technically you call it centripetal acceleration and not linear acceleration.
The linear acceleration is the acceleration component of the centrifugal force and centripetal acceleration as acceleration of centripetal force.
The centripetal acceleration is only directed towards the centre.
Take the linear speed as v which is the velocity tangential to the point on the circular path.
This linear velocity v = r × angular velocity.
Therefore angular velocity = v / r = 10 / 20 × 10^-2 = 50 rad/second.
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