A stone tied to the end of a string of \( 1 \mathrm{~m} \) long is whirled in a horizontal circl....

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A stone tied to the end of a string of \( 1 \mathrm{~m} \) 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?
(A) \( \pi^{2} \mathrm{~ms}^{-2} \) and direction along the radius towards the centre
(B) \( \pi^{2} \mathrm{~ms}^{-2} \) and direction along the radius away from the centre
(C) \( \pi^{2} \mathrm{~ms}^{-2} \) and direction along the tangent to the circle
(D) \( \pi^{2} / 4 \mathrm{~ms}^{-2} \) and direction along the radius towards the centre


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