Science 7–10 · Year 9

Slinky waves: transverse and longitudinal pulses, wavelength, frequency and speed

Physical sciences — Waves and motion: waves, sound and light (NSW Stage 5 focus area)

Practical, model not builtLow risk

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The idea

A wave carries energy along a medium while the medium's parts only move about their rest positions, either across the direction of travel (transverse) or along it (longitudinal).

What you need

  • long steel slinky spring, 1
  • ribbon or masking-tape flag tied to one coil, 1
  • tape measure 5 m, 1
  • stopwatch or phone video, 1
  • smooth floor 5 m long

How to do it

  1. Stretch the slinky to 4.0 m along the floor with a learner holding each end. Flick one end sideways once and watch the pulse travel and reflect; watch the flag to see that a coil moves sideways and returns.
  2. Time a pulse travelling 4.0 m and back (8.0 m); repeat five times and average. Speed = 8.0 m / time.
  3. Push one end sharply forward along the line of the slinky and watch the compression travel; watch the flag to see that a coil moves forward and back along the line.
  4. Send a steady transverse wave by moving the end from side to side twice per second; measure the distance between crests (wavelength) from a photo, and check that frequency x wavelength matches the pulse speed.
  5. Stretch the slinky to 5.0 m and repeat the pulse timing; compare speeds.
  6. Move the end faster and then with larger swings; record which of wavelength, frequency and amplitude changes each time.

What you should see

Speed = 8.0 m divided by the average round-trip time, and the speed rises when the slinky is stretched further: once the stretch is much longer than the coiled spring, a spring of stiffness k and mass m stretched to length L carries pulses at L x sqrt(k / m), so going from 4.0 m to 5.0 m raises the speed by about a quarter. The flag shows the coil moving sideways for transverse pulses and along the slinky for longitudinal pulses, and returning to its place after the pulse passes. For a steady transverse wave, frequency x wavelength matches the pulse speed measured on the same stretch: a slinky whose 8.0 m round trip takes 2.4 s carries pulses at 3.3 m/s, so shaking the end twice a second gives crests about 1.7 m apart and only two or three of them fit on the 4.0 m stretch. Crests 0.75 m apart at 2.0 Hz would mean a speed of 1.5 m/s and a round trip of 5.3 s, far slower than a stretched slinky gives. Faster shaking shortens the wavelength while the speed stays unchanged; bigger swings change only the amplitude.

What changes

What you change
stretch of the slinky (m), or frequency of shaking (Hz)
What you measure
pulse speed (m/s), wavelength (m)
What you keep the same
  • same slinky
  • pulse size for speed timing
  • ends held fixed

Common misconceptions

Each of these ideas is wrong, and the activity is a chance to test it.

  • The coils travel along with the wave.
  • Shaking faster makes the wave travel faster.
  • Bigger waves travel faster.

Safety card

Low riskLearners carry it out

Hazards

  • slinky snapping back when released under tension
  • tangling

Controls

  • release tension slowly and together
  • do not let go of a stretched end

Note

No hazardous chemicals or naked flames are used. Complete the school's risk assessment for the activity before the lesson; the NSW Department of Education Science safety and compliance page points to CSIS 1.7 (Risk assessment – a pre-requisite for risk control) for how to carry it out.

Curriculum references

The NSW syllabus outcomes and Australian Curriculum v9 codes this activity supports. They are references, not a verified or complete curriculum alignment.

Sources

The pages the author read to write this activity.

  1. curriculum.nsw.edu.au/learning-areas/science/science-7-10-2023/outcomes
  2. curriculum.nsw.edu.au/learning-areas/science/science-7-10-2023/content/stage-5/faafd3c3df
  3. spark.iop.org/pulses-and-continuous-waves-slinky-spring
  4. spark.iop.org/episode-309-generating-waves
  5. www.iop.org/sites/default/files/2020-05/Teaching-sound-waves.pdf

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