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A stone tied to the end of string 80cm long is whorled in a horizontal circle with a constant speed.if the stone makes 25 revolutions in 14 sec what is the magnitude of accln of the stone?

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The stone covers a total angular displacement of 2*pie in one revolution.So in 25 rev, it will cover a total disp of 25*2*pie. the angular velocity == TOTAL DISP/TOTAL TIME TAKEN. Now accln of the stone ==(ANGULAR VELOCITY)^2*RADIUS.....................

Hai frnd,...w=25*2*3.14../14............a=r*w*w .we get 100.7.

The distance covered by stone in 14 seconds= 2X pie X 0.80 X 25 So, Speed= 2X pie X 0.80 X 25 divided by 14 (m/sec)