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Questions  

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 ?

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

detailed solution

Correct option is B

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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Similar Questions

Statement -A : The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
Statement -B : The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point


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