A stone tied to one end of string of 1m long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20s, the magnitude of the acceleration of the stone is close to
A
98.6cms2
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B
490cms2
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C
987cms2
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D
996cms2
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Solution
The correct option is C987cms2 Radius of circle, r=1m=100cm Stone makes 10 revolutions per 20 sec ∴ revolutions per second (f) is 0.5 Now angular velocity (ω)=2πf=πrad/s centripetal accelaretion=ω2r=π2×100cm/s2 centripetal acceleration = 987cm/s2