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Posted by on Thursday, December 2, 2010 at 10:03pm.

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?

  • Physics - , Friday, December 3, 2010 at 12:30am

    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

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