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4.1.5Waves

Measuring Wave Speed

5 min read 7 parts Lesson 6 of 13 1 quiz

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Section 1 of 7Wave speed equations

EquationSymbolsUnits
v = d ÷ tv = speed, d = distance, t = timem/s, m, s
v = f × λf = frequency, λ = wavelengthm/s, Hz, m
T = 1 ÷ fT = periods, Hz

Section 2 of 7Speed of sound: two people

1
Two people stand about 100 m apart; measure the distance with a trundle wheel.
2
One person bangs two wooden blocks together above their head.
3
The other starts a stopwatch on seeing the blocks meet and stops it on hearing the bang.
4
Repeat several times and calculate the mean time.
5
Calculate speed = distance ÷ mean time, which should be about 340 m/s in air.

Section 3 of 7Speed of sound: using echoes

1
Stand about 50 m from a large wall, with the distance measured using a trundle wheel.
2
Clap two blocks and listen for the echo, then clap again in time with each echo.
3
A helper times 20 claps from the first to the last.
4
Each clap-to-echo trip covers 2 × 50 m, so the total distance is 20 × 2 × 50 m.
5
Repeat, average the time, and calculate speed = total distance ÷ time. Timing many claps reduces the percentage error from reaction time.

Section 4 of 7Other methods

Oscilloscope
  • Oscilloscope Place two microphones about 5 m apart and connect them to an oscilloscope.
  • A clap at the first microphone starts the trace; the time delay between the two signals gives the time,
    • and speed = distance between microphones ÷ time difference.
Ripples on water
  • Ripples on water Over a calm water surface, mark out a measured distance, make a ripple, and time how long the first ripple takes to travel it.
  • Repeat about ten times and average the time, then use v = d ÷ t.
Ripple tank
  • Ripple tank Measure frequency from the vibrator or by counting waves per second, and wavelength from the pattern, then use v = f × λ.

Section 5 of 7Improving accuracy

1Long distances
  • Long distances A longer distance gives a larger time, so human reaction time is a smaller fraction of the reading.
2Repeats
  • Repeats Averaging reduces random error and highlights anomalies.
3Electronic timing
  • Electronic timing Microphones with a data logger remove human reaction time.
4Conditions
  • Conditions Wind affects the speed of sound outdoors, so repeat in opposite directions and take the mean.

Section 6 of 7Key terms

TermMeaning
Wave speedThe distance a wave travels each second.
EchoA reflected sound heard after the original sound.
OscilloscopeA device that displays electrical signals, such as microphone outputs, against time.
Trundle wheelA wheel used for measuring long distances on the ground.
Random errorAn unpredictable variation in measurements.

Section 7 of 7Exam technique

1
Using the distance to the wall as the total distance in the echo method: the sound travels there and back.
2
Forgetting that timing 20 claps reduces error compared with timing one.
3
Mixing up frequency and wavelength in v = f × λ or using cm instead of m without converting.
4
Assuming the speed of sound depends on loudness: it depends on the medium and temperature.
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