A stone tied to end of a string 80 cm long is whirled in a horizontal with a constant speed. If the stone makes 14 revolutions in 25seconds, what is the magnitude and direction of acceleration of the stone ?
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Answer:
Frequency f=
25
14
Hz
Angular velocity ω=2πf=
25
2×14π
rad/s=3.52rad/s
Acceleration is a=ω
2
r=3.52
2
×0.8=9.9m/s
2
The direction is along the radius at every point towards the centre.
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