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Centripetal Force Requirement
Uniform circular motion could be elaborates as the motion of an object within a circle at a constant speed. As an object moves within a circle and it is constantly changing its direction. Since of this direction modification, you can be certain in which an object undergoing circular motion is accelerating (even if it is moving at constant speed). And in accord along with Newton's laws of motion, an accelerating object must be acted upon through an unbalanced force. This unbalanced force is in the similar direction as the direction of the acceleration. For objects in uniform circular motion, the net force and following acceleration is concentrating inwards. Circular motion needs a net inward or "centripetal" force.
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prove - w2=w0+2alpha(thita-thita0)
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