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Q.

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 sec, what is the magnitude and direction of acceleration of the stone ?

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a

π2m/s2  and direction along the tangent to the circle

b

π2(m/s)2 and direction along the radius towards the centre

c

π2/4m/s2  and direction along the radius towards the centre

d

π2m/s2 and direction along the radius away from the centre

answer is B.

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Detailed Solution

The acceleration towards centre CAC=ω2RThe tangential acceleration at, is given byat=dvdt=0∴  Net acceleration =ω2Ror   ac=(2πn)2R=4π2n2R=4π222442   (1)=π2m/s2 towards centre *** when a body moves with constant speed in a horizontal circle then it possesses only centri petal acceleration.
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A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 sec, what is the magnitude and direction of acceleration of the stone ?