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Out Into Space

Angular velocity and motion in a horizontal circle

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on angular velocity and its unit, radians in a revolution, ω = 2π/T and v = ωr, centripetal acceleration a = v²/r and its direction, F = mv²/r and F = mrω², why uniform circular motion is accelerated, calculations for a stone, a car and a whirled mass, why centripetal force does no work, and what holds a satellite in orbit.

What you need to know

Answer each one before you reveal it.

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Key term

How is angular velocity related to the period of the motion?

Key term

How is linear speed related to angular velocity in circular motion?

Key term

What is the expression for centripetal acceleration in terms of speed and radius?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define angular velocity.

    Model answer

    It is the angle swept out per unit time by the radius joining the object to the centre of its circular path.

  2. 2

    State the unit of angular velocity.

    Model answer

    It is measured in rad s⁻¹.

  3. 3

    How many radians are there in one complete revolution?

    Model answer

    There are 2π rad in a full circle.

  4. 4

    How is angular velocity related to the period of the motion?

    Model answer

    The angular velocity is ω = 2π/T.

  5. 5

    How is linear speed related to angular velocity in circular motion?

    Model answer

    The speed is v = ωr, where r is the radius of the circular path.

  6. 6

    What is the expression for centripetal acceleration in terms of speed and radius?

    Model answer

    The acceleration is a = v²/r, directed towards the centre.

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The two charges .
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There are 2π rad in a full circle.
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