Question

A ski gondola is connected to the top of a hill by a steel cable of length 600 m and diameter 1.2 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 18 s for the pulse to return. Part A What is the speed of the pulse?

Answer 1

The speed of a wave pulse on a cable can be calculated with the distance traveled and the time taken. In this case, the ski gondola wave pulse traveled 1200 meters in 18 seconds, resulting in a pulse speed of 66.67 meters per second.

Step-by-step explanation:

The speed of a wave pulse on a cable or string can be determined by using the round-trip time for the pulse to travel to the end and back. Since the ski gondola wave pulse took 18 seconds to return and the length of the cable is 600 meters, this implies that the total distance traveled by the pulse is 1200 meters (out and back). Therefore, to find the speed of the pulse, we can use the formula:

Speed = Distance / Time

Substituting the given values:

Speed = 1200 m / 18 s

Speed = 66.67 m/s

So, the speed of the pulse is 66.67 meters per second.

Answer 2

v = 66.7 m/s

Step-by-step explanation:

Given that,

The length of steel cable, L = 600 m

Diameter = 1.2 cm

It is observed that it took 18 s for the pulse to return.

The time taken to cover 600 m will be :

t = T/2

t = 9 s

Let v be the of the pulse. We know that,

`v=(L)/(t)\\\\v=(600)/(9)\\\\v=66.7\ m/s`

So, the speed of the pulse is equal to 66.7 m/s.