Finding the tension in the cable

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AI Thread Summary
The discussion revolves around calculating the speed of a wave pulse in a steel cable connected to a ski gondola, which was found to be approximately 61.05 m/s. The user seeks assistance in determining the tension in the cable, noting uncertainty about how to approach the problem. It is suggested that the relationship between wave speed, tension, and linear mass density should be explored, with a recommendation to look up the density of steel to find the linear mass density of the cable. The conversation emphasizes the need to sum forces to find the tension but lacks specific guidance on the calculations. Understanding these relationships is crucial for solving the problem effectively.
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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.
 

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