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Uniform Circular Motion

  • 4 subtopics
  • 12 things to know
  • Unit A2 1

What Uniform Circular Motion covers

Uniform Circular Motion is examined in Unit A2 1, Deformation of Solids, Thermal Physics, Circular Motion, Oscillations and Atomic and Nuclear Physics, and drawn on again in Unit A2 3. It covers angular velocity, period and frequency, linear speed and angular velocity: v = rω, centripetal acceleration and centripetal force and applying F = mv²/r to motion at constant speed.

Where it is assessed

Unit A2 1

Deformation of Solids, Thermal Physics, Circular Motion, Oscillations and Atomic and Nuclear Physics, and again in Unit A2 3.

Check the CCEA specification ↗

The 4 subtopics

Each one has its own page.

What you need to know

Answer each one before you reveal it.

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Key term

Why does a point at the centre of a rotating disc have zero linear speed but the same angular velocity as the rim?

Key term

State the two equations for centripetal acceleration and define every symbol.

Key term

State the equation for centripetal force in terms of speed and define every symbol.

Key term

Give the SI unit of angular velocity.

Key term

What provides the centripetal force on a stone whirled in a horizontal circle on the end of a string?

Key term

Convert 90° into radians.

Key term

State the equation relating linear speed to angular velocity and define every symbol.

Key term

What provides the centripetal force on a car rounding a level bend?

Key term

What is meant by the period of a body in circular motion?

Key term

Show how v = rω follows from the definition of the radian.

Key term

What is meant by centripetal acceleration?

Numbers

Calculate the centripetal acceleration of a car of mass 1200 kg taking a bend of radius 50 m at 15 m s⁻¹.

Take Uniform Circular Motion further

The same content, four other ways.

Commonly confused

Pairs that lose marks when they are blurred together.

  • Constant angular velocity vs Constant velocity

    Constant angular velocity: the same angle is swept every second while the direction of motion keeps changing. Constant velocity: neither the speed nor the direction changes at all.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    Define angular velocity.

    Model answer

    Angular velocity is the angle swept out per unit time by the radius joining the moving object to the centre of the circle, ω = θ/t, measured in rad s⁻¹.

  2. 2

    Give the SI unit of angular velocity.

    Model answer

    Angular velocity is measured in radians per second, rad s⁻¹.

  3. 3

    Define the radian.

    Model answer

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

  4. 4

    How many radians are there in one complete revolution?

    Model answer

    There are 2π radians, which is about 6.28 rad, in one complete revolution.

  5. 5

    Convert 90° into radians.

    Model answer

    90° is one quarter of a revolution, so it is 2π/4 = π/2 = 1.57 rad.

  6. 6

    State the equation relating angular velocity to the period of the motion, and define every symbol.

    Model answer

    ω = 2π/T, where ω is the angular velocity in rad s⁻¹ and T is the period, the time for one complete revolution, in seconds.

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Uniform Circular Motion revision questions

What does Uniform Circular Motion cover in CCEA A-Level Physics?
4 subtopics: angular velocity, period and frequency, linear speed and angular velocity: v = rω, centripetal acceleration and centripetal force and applying f = mv²/r to motion at constant speed. Each one has its own page with questions and model answers.
How is Uniform Circular Motion organised?
By the CCEA 1210 specification, subtopic by subtopic, so it matches the order you are taught it in.

Every question in Uniform Circular Motion, on a schedule.

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