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Question

Define uniform circular motion. An object of mass'm' is moving along a circle of radius r with increasing speed. Find the magnitude and direction of the net force acting on that object when the angular velocity is 'v' and angular acceleration is 'd'

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Solution

Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. At all instances, the object is moving tangent to the circle.
Here force =mv²/r
where acceleration=d= v²/r

Its direction is along the tangent, in outward direction.


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