Question #61414

a soft rope that weight 2.0 pounds is stretched by the force of 150 lbs a wave is started down the rope by plucking it. what is the speed of the wave in m/s
1

Expert's answer

2016-08-22T14:23:04-0400

Answer on Question #61414-Physics-Other

A soft rope that weight 2.0 pounds is stretched by the force of 150 lbf a wave is started down the rope by plucking it. What is the speed of the wave in m/s

Solution

We need to know the length of the rope to find the linear density of the rope. So, let it be 1 m.


v=Fμ=Flm=1504.448222N(1m)2.00.453592kg=27ms.v = \sqrt {\frac {F}{\mu}} = \sqrt {\frac {F l}{m}} = \sqrt {\frac {150 \cdot 4.448222 \, N(1 \, m)}{2.0 \cdot 0.453592 \, kg}} = 27 \, \frac{m}{s}.


Answer: 27ms27 \, \frac{m}{s}.

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