Verified Solution • 2025–26 Session moderate

QAIPMT-2005-Ph-2558: NEET 2005 Physics - Class 11 AIPMT-2005-Ph-2558 Solution: A stone tied to the end of a string of 1 m long is whirled in a …

A stone tied to the end of a string of 1 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?

Multiple Choice Options

  • A π2 m s−2\pi^2\ \text{m s}^{-2} and direction along the radius towards the centre
  • B π2 m s−2\pi^2\ \text{m s}^{-2} and direction along the radius away from the centre
  • C π2 m s−2\pi^2\ \text{m s}^{-2} and direction along the tangent to the circle
  • D π2/4 ms−2\pi^2/4\ \text{ms}^{-2} and direction along the radius towards the centre.

Step-by-Step Verified Solution

a r = _ 2 R & a t = d v d t = 0 or, ar= (2 � n)2R = 4 � 2 n 2 R 2 = 4 � 2 ( 22 44 ) 2 ( 1 ) 2 a net = a r = � 2 ms �2 and direction along the radius towards the centre.

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