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Q.

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

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a

π2 ms-2 and direction along the radius away from the centre

b

2π2 ms-2 and direction along the radius away from the centre

c

π2 ms-2 and direction along the radius towards the centre

d

2π2 ms-2 and direction along the radius towards the centre

answer is A.

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Detailed Solution

centripetal acceleration ac=2ac=r4π2f2
ac=1×4π2×22442ac=π2

Direction of centripetal acceleration will also be along the radius.

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