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Question

A string can take maximum tension of 10 kg wt. If the string is used to revolve a body of mass 1.2 kg in a horizontal circle of radius 50 cm, what is the maximum speed with which the body can be revolved ? When revolving at maximum speed, what are the period and frequency of revolutions of the body ?

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Solution

Maximum Tension, Tmax=10×g
Tmax=100 N
mV2r100
V2max=100×rm
Vmax=100×50×1021.2
Vmax=6.45 m/s
And, Vmax=2πrT
Time period, T=2πrVmax
T=2π×50×1026.45
T=0.487 s
Frequency, ω=2πT=12.90 rad/s

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