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Circular Motion

Angular measure, period and frequency

  • 3 things to know
  • A2 Unit 3

Overview

Recall questions on Angular measure, period and frequency.

What you need to know

Answer each one before you reveal it.

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Key term

Define the period of rotation.

Key term

Define the frequency of rotation and give its unit.

Key term

Define the radian as a measure of angle.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the period of rotation.

    Model answer

    The time taken for one complete revolution.

  2. 2

    Define the frequency of rotation and give its unit.

    Model answer

    The number of complete revolutions per unit time, measured in hertz (Hz).

  3. 3

    Define the radian as a measure of angle.

    Model answer

    One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius.

  4. 4

    How many radians are there in a complete revolution?

    Model answer

    2π radians, equivalent to 360°.

  5. 5

    Convert 60° into radians.

    Model answer

    60 × π/180 = π/3 = 1.05 rad.

  6. 6

    State the equation relating arc length, radius and angle in radians.

    Model answer

    s = rθ, where s is the arc length, r is the radius and θ is the angle in radians.

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