if the body is moving in a circle of radius r with a constant speed v it angular velocity is
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Answer:
Radial Acceleration
If a body is moving around a circle, even if it is moving at a constant speed it is accelerating. This is because it is changing direction (it isn't moving in a straight line). The direction of this acceleration is towards the centre of the circle and the magnitude is given by: a = v2/r.
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Dear Student,
◆ Answer -
w = v/r
● Explanation -
Suppose -
w = angular velocity in UCM
v = linear velocity in UCM
r = radius of circle in UCM
Then linear velocity in uniform circular motion is given by -
v = r × w
Rearranging this eqn,
w = v/r
Hence, angular velocity in uniform circular motion is v/r.
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