Question on: SS2 Physics - Mechanics - Motion in a Plane
A stone is tied to a string and whirled in a horizontal circle of radius 2 metres. If the stone completes one revolution in 4 seconds, what is the centripetal acceleration of the stone?
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The centripetal acceleration of an object in uniform circular motion is given by the formula: acceleration = (v2) / r,
where v is the velocity of the object and r is the radius of the circle. Since the stone completes one revolution in 4 seconds, its velocity is given by
v = (2πr) / T = (2π x 2) / 4 = 2π m/s.
Plugging in the values, we get acceleration = (2π2) / 2 = 8 m/s2.
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