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Question -

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



Answer -

Mass of the stone, m = 0.25kg

Radius of the circle, r =1.5 m

Numberof revolution per second,  
Angularvelocity, ω =  

The centripetal force for the stone isprovided 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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