$A$ stone tied to the end of a string of $1\, m$ length is whirled in a horizontal circle with a constant speed. If the stone makes $22$ revolutions in $44\, s$,what is the magnitude and direction of the acceleration of the stone?
- A${\pi ^2}\,m\,s^{ - 2}$ and direction along the radius towards the centre.
- B${\pi ^2}\,m\,s^{ - 2}$ and direction along the radius away from the centre.
- C${\pi ^2}\,m\,s^{ - 2}$ and direction along the tangent to the circle.
- D${\pi ^2}/4\,m\,s^{ - 2}$ and direction along the radius towards the centre.
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