Finding the tension in the cable

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Homework Statement


A ski gondola is connected to the top of a hill by a steel cable of length 580 m and diameter 1.5 cm. As the gondola comes to the end of its run, it bumps into the terminal and sends a wave pulse along the cable. It is observed that it took 19 s for the pulse to travel the length of the cable and then return.

(a) What is the speed of the pulse?
61.05263158 m/s
(b) What is the tension in the cable?
? N


Homework Equations


I would assume you would sum the forces, but I don't know what to put together to reach a tension.


The Attempt at a Solution


I do not know where to begin.

Help is greatly appreciated! Thank you!
 
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How is the speed related to the tension and the linear mass density? You will have to look up the density of steel to figure out the linear mass density of this cable.