AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    Properties of waves: wave speed, v, in metres per second, m/s

    Wave speed, v, is the distance a wave crest travels each second, measured in metres per second (m/s).

    Checked against the AQA 8464 specification (opens in a new tab) on .

    • Point 13 of 18
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Wave speed, v, is the distance a wave crest travels each second, measured in metres per second (m/s). It links frequency f in hertz (Hz) and wavelength λ in metres (m) through the equation v = f λ. For example, a wave with f = 50 Hz and λ = 2 m has v = 50 × 2 = 100 m/s. You can also measure v directly: time a crest over a known distance, or use a ripple tank and stopwatch. In exams, you may calculate v, convert units such as cm/s to m/s, or compare speeds of different waves. Always write the unit m/s, not m or Hz, and show substitution clearly.

    What earns the marks

    • State that wave speed is the distance travelled by a wave each second and is measured in metres per second (m/s).
    • Recall and apply the wave equation v = f λ, where v is wave speed in m/s, f is frequency in Hz and λ is wavelength in m.
    • Substitute numerical values correctly into v = f λ and calculate v, including converting cm or mm to m and Hz to s⁻¹ where needed.
    • Describe a practical method to measure wave speed, such as timing a wave over a measured distance or using a ripple tank with a stopwatch.
    • Compare wave speeds in different media or for different waves, linking a higher speed to greater distance travelled per second.

    Common mistakes and how to put them right

    • Writing the unit as m or m/s² instead of m/s.

      Put it right: Speed is distance per second, so the unit is metres per second, m/s.

    • Using wavelength in centimetres without converting to metres.

      Put it right: Convert cm to m by dividing by 100 before substituting into v = f λ.

    • Rearranging v = f λ incorrectly, for example writing f = v λ.

      Put it right: Divide both sides by λ to get f = v / λ, and by f to get λ = v / f.

    Exam tips

    • Write the equation v = f λ, then substitute values with units before calculating; this makes unit errors obvious.
    • Check that your answer unit matches the question: if wavelength is in m and frequency in Hz, the speed is in m/s.
    • For practical questions, name the measuring instruments and the distance timed, and repeat readings to reduce random error.

    Try the lesson

    The start of the Properties of waves: wave speed, v, in metres per second, m/s lesson, made from checked teaching notes for this specification point.

    Have a go first

    A wave travels 30 m in 6 s. What is the wave speed in m/s?

    Listen

    Wave speed, v, is the distance a wave crest travels each second, measured in metres per second (m/s). It links frequency f in hertz (Hz) and wavelength λ in metres (m) through the equation v = f λ. For example, a wave with f = 50 Hz and λ = 2 m has v = 50 × 2 = 100 m/s. You can also measure v directly: time a crest over a known distance, or use a ripple tank and stopwatch. In exams, you may calculate v, convert units such as cm/s to m/s, or compare speeds of different waves. Always write the unit m/s, not m or Hz, and show substitution clearly. A strong answer earns marks for these points. State that wave speed is the distance travelled by a wave each second and is measured in metres per second (m/s). Recall and apply the wave equation v = f λ, where v is wave speed in m/s, f is frequency in Hz and λ is wavelength in m. Substitute numerical values correctly into v = f λ and calculate v, including converting cm or mm to m and Hz to s⁻¹ where needed. Describe a practical method to measure wave speed, such as timing a wave over a measured distance or using a ripple tank with a stopwatch. A common slip: Writing the unit as m or m/s² instead of m/s. Instead, speed is distance per second, so the unit is metres per second, m/s. Exam tip: Write the equation v = f λ, then substitute values with units before calculating; this makes unit errors obvious.

    See it

    A flowchart starting from a node labelled 'Wave speed v in m/s'. One arrow leads to 'Distance a wave crest travels each second'. Another arrow leads to 'v = f λ', which branches into 'f is frequency in Hz' and 'λ is wavelength in m'. Two further arrows from the starting node lead to 'Measure directly: time a crest over a known distance' and 'Measure with ripple tank and stopwatch'.
    It shows what wave speed means, the equation v = f λ with its quantities, and two ways to measure wave speed.

    Key words

    Say what each word means before you turn the card.

    wave speed

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    frequency

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    wavelength

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    v = f λ

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    See every definition
    wave speed
    The distance a wave crest travels each second, measured in metres per second (m/s).
    frequency
    Measured in hertz (Hz) and linked to wave speed and wavelength through the equation v = f λ.
    wavelength
    Measured in metres (m) and linked to wave speed and frequency through the equation v = f λ.
    v = f λ
    The wave equation linking wave speed v in m/s, frequency f in Hz and wavelength λ in m.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A flowchart starting from a node labelled 'Wave speed v in m/s'. One arrow leads to 'Distance a wave crest travels each second'. Another arrow leads to 'v = f λ', which branches into 'f is frequency in Hz' and 'λ is wavelength in m'. Two further arrows from the starting node lead to 'Measure directly: time a crest over a known distance' and 'Measure with ripple tank and stopwatch'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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