A 15 Kg ball attached to a string of mass 0.0230 kg, is whirled around in a circ

Question

A 15 Kg ball attached to a string of mass 0.0230 kg, is whirled around in a circular path with an angular frequency of 12.0 rad/s. The motion occurs on a horizontal, frictionless table. How long does it take for a wave to travel along the string from the center of the circle to the ball?

Please write clearly and show all steps, thanks.

A 15 Kg ball attached to a string of mass 0.0230 kg, is whirled around in a circular path with an angular frequency of 12.0 rad/s. The motion occurs on a horizontal, frictionless table. How long does it take for a wave to travel along the string from the center of the circle to the ball?

Explanation / Answer

M = 15 kg, m = 0.0230 kg, ? = 12.0 rad/s, find time t

length of string = L

tension T = M?^2*L

linear density of the string ? = m/L

speed of wave v = ?(T/?) = ?L?(M/m)

the requested time t = L/v = ?(m/M) /? = 0.00326 s

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