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A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

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Mass of the stone, m = 0.25 kg Radius of the circle, r = 1.5 m Number of revolution per second, Angular velocity, ω = The centripetal force for the stone is provided by the tension T, in the string, i.e., Maximum tension in the string, Tmax = 200 N Therefore, the maximum speed of the stone...
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Mass of the stone, m = 0.25 kg

Radius of the circle, r = 1.5 m

Number of revolution per second,

Angular velocity, ω =

The centripetal force for the stone is provided by the tension T, in the string, i.e.,

Maximum tension in the string, Tmax = 200 N

Therefore, the maximum speed of the stone is 34.64 m/s.

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