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Interpret and Calculate Properties of Sound Waves

In this worksheet, students will measure and calculate amplitude, frequency, and wavelength in the context of sound waves on an oscilloscope screen.

'Interpret and Calculate Properties of Sound Waves' worksheet

Key stage:  KS 3

Year:  Year 7 Science worksheets

Curriculum topic:   Physics: Waves

Curriculum subtopic:   Sound Waves

Difficulty level:  

Worksheet Overview

Properties of waves

You should know that all waves have an amplitude, a frequency, and a wavelength.

 

Shown below is a transverse wave with its amplitude, wavelength, crest, and trough labelled.
 

amplitude, wavelength, crest and trough shown on a wave

 

The amplitude of a wave is the maximum displacement from equilibrium. The central horizontal line through the wave is equilibrium, and so the vertical distance from this line to the peak is the amplitude. As it is a distance, it is measured in metres.

 

The wavelength is the length of a single wave. You can either measure the distance between two peaks, or the distance between two troughs in order to calculate it. This is also measured in metres.

 

Finally, the frequency is the number of waves in 1 second. It is measured in Hertz (Hz). For example, if 20 waves occurred in 1 second, the wave would have a frequency of 20Hz.

 

Sound waves

Sound waves are longitudinal, not transverse. This means they vibrate in the same direction as the energy transfer, causing particles to collide with each other, parallel to the direction the sound is travelling. The effect is a 'bunching up' and 'spreading out' of particles. The regions of maximum pressure, where the particles are closest together, are called compressions, and the regions of least pressure, where the particles are furthest apart, are called rarefactions.

 

Sounds need a medium to travel through. In other words, if there are no particles, there is no sound wave. This is why there is no sound in outer space.

 

The diagram below shows the similar features of a transverse wave with a longitudinal wave.

 

transverse wave above longitudinal wave

 

As you can see, a sound wave still has a wavelength - it is the distance between two compressions or two rarefactions. (Sound waves also have frequency - the number of waves per second). Amplitude cannot be directly measured from this diagram, as it is the maximum displacement of the compression from its equilibrium position, and the diagram does not show us the particles' original positions.

 

Oscilloscopes

 

oscilloscope

 

Sound waves themselves are, of course, invisible. However, an oscilloscope is a device that can turn a sound wave into a 'picture' of a longitudinal wave. This allows us to clearly see its wavelength and amplitude. This type of 'picture' is called a trace.

 

In the context of sound waves, amplitude tells us the volume (i.e. the loudness) of the sound, while wavelength and frequency tell us the pitch. Sounds with high frequencies have low wavelengths, and are high-pitched, 'squeaky' sounds. Meanwhile, sounds with low frequencies have long wavelengths and are low-pitched, 'deep' sounds.

 

If you want to measure an amplitude on an oscilloscope screen, you need to measure the vertical distance between the central horizontal line and the peak of the wave. Meanwhile, to measure the wavelength, you can directly measure the horizontal distance between two peaks if the x-axis is given as a distance. However, sometimes, the waves may be too close together for an accurate measurement, and so you need to measure the total distance of the trace, and then divide by the number of waves.

 

Also be aware that oscilloscope traces may show their x-axis as a time, rather than a distance. In this case, you would find the frequency by counting the number of waves and dividing by the time in seconds, in order to calculate the number of waves per second.

 

Does that sound complicated?

 

boy with question marks

 

Let's have a go at some questions to help you to understand how this works. You can look back at this page at any point by clicking on the red help button on the screen.

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