An object moves in a horizontal circle at constant speed v (in units of m>s). It takes the object T seconds to complete one revolution. Derive an expression that gives the radial acceleration of the ball in terms of v and T, but not r. (a) If the speed doubles, by what factor must the period T change if arad is to remain unchanged? (b) If the radius doubles, by what factor must the period change to keep arad the same?

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A:

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A: The radius of the Earth, r=6.4×106 m   The centripetal acceleration, α=9.8 m/s2

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.