Motion in a Plane
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Question : 17
Total: 32
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 make 14 revolutions in 25 s, what is the magnitude and direction of the acceleration of the stone?
Solution:
Here, r = 80 c m = 0.8 m ; υ =
s − 1
ω = 2 π υ = 2 ×
×
=
rad s − 1
The centripetal acceleration,a = ω 2 r = (
) 2 × 0.80 = 9.90 m s − 2
The direction of centripetal acceleration is along the string directed towards the centre of circular path.
The centripetal acceleration,
The direction of centripetal acceleration is along the string directed towards the centre of circular path.
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