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Vibrations

Frequency, period, amplitude and phase

  • 3 things to know
  • Component 1

Overview

Amplitude of an oscillation, period of an oscillation and frequency of an oscillation.

What you need to know

Answer each one before you reveal it.

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Key term

Define the amplitude of an oscillation.

Key term

Define the period of an oscillation.

Key term

Define the frequency of an oscillation.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the amplitude of an oscillation.

    Model answer

    The amplitude is the maximum displacement of the oscillating body from its equilibrium position.

  2. 2

    Define the period of an oscillation.

    Model answer

    The period is the time taken for one complete oscillation, in seconds.

  3. 3

    Define the frequency of an oscillation.

    Model answer

    The frequency is the number of complete oscillations made per second, measured in hertz.

  4. 4

    State the relationship between the period and the frequency of an oscillation.

    Model answer

    The period is the reciprocal of the frequency, T = 1/f, with T in s and f in Hz.

  5. 5

    State the relationship between the period and the angular frequency of an oscillation.

    Model answer

    The period is T = 2π/ω, where ω is the angular frequency in rad s⁻¹.

  6. 6

    A mass oscillates at 2.50 Hz. Calculate its period and its angular frequency.

    Model answer

    The period is 1/2.50 = 0.400 s and the angular frequency is 2π × 2.50 = 15.7 rad s⁻¹. Dividing 15.7 rad s⁻¹ by 2π returns 2.50 Hz.

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