What is acceleration? Obtain an expression for it
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|→a|=ωR2√(sinωt)2+(cosωt)2=ωR2 [ sin2θ+cos2θ=1] Hence centripetal acceleration is ωR2. Note: As we derived the expression for centripetal acceleration of the body undergoing uniform circular motion, we can see that the magnitude of this acceleration is constant with time.
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Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
Explanation:
Check The above attachment for derivation.
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