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1.4.2Building Blocks

Measuring the Speed of Waves

5 min read 9 parts Lesson 27 of 35 Unit quiz

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Section 1 of 9Speed of sound: two people

1
Stand two observers about 100 m apart and measure the gap with a trundle wheel.
2
One observer bangs two wooden blocks together above their head.
3
The other starts a stopwatch on seeing the blocks strike and stops it on hearing the sound.
4
Repeat several times and average the times.
5
Calculate v = d ÷ t. Light travels almost instantly, so the delay is effectively the sound travel time.

Section 2 of 9Speed of sound: echo method

1Clap near a wall
  • Clap near a wall Stand about 50 m from a wall and clap in time with the returning echo.
2Time many claps
  • Time many claps Time 20 claps to reduce reaction-time error.
3Find the distance
  • Find the distance Each clap needs a round trip, so total distance = 20 × 2 × 50 m.
4Calculate
  • Calculate Divide total distance by total time to find the speed.

Section 3 of 9Water ripples

Ripple tank
  • Ripple tank A motor-driven dipper creates waves in a shallow tank.
  • A lamp above projects the waves as bright and dark lines onto paper below.
Measurement
  • Measurement Use a strobe light to freeze the pattern, measure wavelength, then use the strobe or stopwatch to find frequency.
Calculation
  • Calculation Wave speed v = f × λ.

Section 4 of 9Worked example: speed of sound

1
Two observers stand 165 m apart and the measured mean time for the sound is 0.50 s.
2
Write the equation: v = d ÷ t.
3
Substitute: v = 165 ÷ 0.50.
4
Calculate: v = 330 m/s, which agrees with the typical value for air.
5
To improve the result, use a larger distance so the human reaction time is a smaller fraction of the total time.

Section 5 of 9Typical wave speeds

WaveMediumTypical speed
SoundAirAbout 330 m/s
SoundWaterAbout 1500 m/s
Water ripplesShallow waterLess than 1 m/s
Light and other electromagnetic wavesAir or vacuum3.0 × 108 m/s

Section 6 of 9Sources of error

Check unit conversions when reporting measured sizes.
Check unit conversions when reporting measured sizes.
Improving the experiment
Reaction time
  • Reaction time Starting and stopping a stopwatch by hand adds an error of about 0.2 s, which matters more for short times.
Repeats
  • Repeats Repeating the timing and taking a mean reduces the effect of random errors.
Wind and temperature
  • Wind and temperature Wind and air temperature change the speed of sound, so measurements should be made in calm conditions.
Electronic timing
  • Electronic timing Microphones connected to a data logger measure the time interval far more precisely than a person can.

Section 7 of 9Key terms

TermMeaning
Wave speedThe distance a wave travels each second.
EchoSound reflected from a hard surface.
Trundle wheelA wheel that clicks once per metre, used to measure long distances.
Ripple tankA shallow tank used to study water waves.
Reaction timeThe delay between an event happening and a person responding to it.
MeanThe sum of repeated measurements divided by the number of measurements.

Section 8 of 9Syllabus checklist

QuantitySymbolUnit
Speedvmetres per second, m/s
Distancedmetres, m
Timetseconds, s
Equationv = d ÷ tTypical speed of sound in air about 330 m/s

Section 9 of 9Exam technique

1
Using one-way distance in the echo method; sound goes to the wall and back.
2
Blaming human reaction time but only doing one timing; averaging and timing many claps reduces the error.
3
Starting the stopwatch on hearing the sound instead of on seeing the blocks.
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