The Total solution for NCERT class 6-12
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?
Mass of the stone,┬аm┬а= 0.25kg
Radius of the circle,┬аr┬а=1.5 m
The centripetal force for the stone isprovided by the tension┬аT, in the string, i.e.,
┬а
Maximum tension in the string,┬аTmax┬а=200 N
Therefore,the maximum speed of the stone is 34.64 m/s.