Define angular velocity.

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.

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.

How many radians are there in one complete revolution?

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

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

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.

CCEA A-Level Physics 1210

Physical Quantities, Scalars and Vectors

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Uniform Circular Motion

Angular velocity, period and frequency

3 things to know
Unit A2 1

Overview

Angular velocity, period of a body in circular motion and uniform circular motion.

What you need to know

Answer each one before you reveal it.

Your recallNot started

Key term

Give the SI unit of angular velocity.

Key term

Convert 90° into radians.

Key term

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

Questions from this subtopic

Each one with the model answer underneath.

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
Give the SI unit of angular velocity.
Model answer
Angular velocity is measured in radians per second, rad s⁻¹.
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
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
Convert 90° into radians.
Model answer
90° is one quarter of a revolution, so it is 2π/4 = π/2 = 1.57 rad.
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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Angular velocity, period and frequency

Overview

What you need to know

Give the SI unit of angular velocity.

Convert 90° into radians.

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

Questions from this subtopic

Define angular velocity.

Give the SI unit of angular velocity.

Define the radian.

How many radians are there in one complete revolution?

Convert 90° into radians.

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

Other ways to work this

What is inside Levo

The 3-step method, run for you

Cram a whole paper in one sitting

Blank Blitz makes facts automatic

Build It gets the exam shape right

Test It catches misconceptions

Brain Breaks between sessions

Every question in Uniform Circular Motion, on a schedule.