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A ski gondola is connected to the top of a hill by a steel cable of length 680 m and diameter 1.7 cm. As the gondola comes to t...Asked by Eden
A ski gondola is connected to the top of a hill by a steel cable of length 720 m and diameter 1.3 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 14 s for the pulse to return.
What is the speed of the pulse?
What is the tension in the cable?
What is the speed of the pulse?
What is the tension in the cable?
Answers
Answered by
drwls
The wave speed is 2*720/14 = 103 m/s
103 m/s = sqrt(T/a)
where a is the mass of cable per length. You will need the density of steel and the cable radius to get a.
a = pi (D^2/4)*(steel density)
Make sure it is in kg/m
Then solve for T , which will be in Newtons
103 m/s = sqrt(T/a)
where a is the mass of cable per length. You will need the density of steel and the cable radius to get a.
a = pi (D^2/4)*(steel density)
Make sure it is in kg/m
Then solve for T , which will be in Newtons
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