Investigating the relation between wave speed and tension in a slinky spring

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Investigating the relation between wave speed and tension in a slinky spring

How does the speed of the wave change with tension in a slinky spring?

Plan

In this experiment I am going to see how the speed of a wave changes with the tension in a slinky spring.

The apparatus that I will need are:

  • Slinky spring
  • Timer
  • Measuring tape
  • Newton Metre

I will measure the distance of the slinky spring at different lengths and also measure the time it takes for a transverse wave to oscillate twice through the spring. I will then calculate the speed of the wave using the formula:

Speed (m/s)   =  Distance (m) / Time (s)

The lengths of the spring that I will measure depends on the tension. I will measure the lengths and calculate the speed of the wave at these lengths when the tension is 0.5N, 1.0N, 1.5N, 2.0N, 2.5N, 3.0N, 3.5N, 4.0N, 4.5N, 5.0N.

In this experiment, my partner will be holding the slinky at one end which is attached to the Newton metre. I will then introduce a wave into my end of the slinky and the wave will travel through and eventually reach the other end of the slinky and the presence of my partner’s hand. The wave will then undergo ‘reflection’. The wave will remain within the medium (slinky) but just reverse the direction of travel. A slinky wave which travels to the end of a slinky and back has doubled its distance. That is, by reflecting back to the original location, the wave has travelled a distance which is equal to twice the length of the slinky.

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There will be two ways in which I can deliver the wave through the medium. I can either create a to and fro motion wave (longitudinal) or create a side to side wave (transverse). I have chosen to create a transverse wave as it is much easier to see travelling through the slinky.


The above diagrams shows a longitudinal wave travelling through the slinky. These waves are usually too small to see and too fast to distinguish and so I will not be creating this wave type.

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