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A string of mass 2.50kg is under a tensi...

A string of mass 2.50kg is under a tension os 200N. The length of the stretched string is 20.0m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?

Text Solution

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Tension, T = 200 N, length = 20 m, Mass = 2.50 kg
Mass/length, `m = (2.50)/(20) kg m^(-1)`
Velocity of wave, `upsilon = sqrt((T)/(m)) = sqrt((200 xx 20)/(2.50))`
= 40 `ms^(-1)`
Time = Distance (length of string)/velocity = 20/40 = 0.5 s.
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