A stone of mass 0.25 kg tied to a string is whirled in a horizontal circle of radius 1.5 m. What is

Question

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

Professor PC Thomas Classes · Answer

$T_{max} = \frac{mv_{max}^2}{R} \implies v_{max} = \sqrt{\frac{T_{max} R}{m}} = \sqrt{\frac{200 	imes 1.5}{0.25}} = \sqrt{1200} \approx 34.6$ m/s.