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Question:
A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone ?
Answer:

Length of the string, l = 80 cm = 0.8 m

Number of revolutions = 14

Time taken = 25 s

Frequency,image078 NCERT Solutions class-11 physics Motion in A Plane

Angular frequency,image079 NCERT Solutions class-11 physics Motion in A Plane

image080 NCERT Solutions class-11 physics Motion in A Plane

Centripetal acceleration, image081 NCERT Solutions class-11 physics Motion in A Plane

image082 NCERT Solutions class-11 physics Motion in A Plane

The direction of centripetal acceleration is always directed along the string, toward the centre, at all points.

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