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

Define angular displacement .

Angular displacement is the change in angle, in radians, of a body as it rotates around a circle.

An angle of 360° is equal to .......... radians.

An angle of 360° is equal to 2π radians.

True or False? Degrees are the preferred unit for measuring angular displacement in circular motion.

False. In circular motion it is more convenient to measure angular displacement in radians rather than in degrees.

Define angular speed .

Angular speed (ω) is the rate of change of angular displacement with respect to time. It is a scalar quantity measured in rad s -1 .

Why does an object in uniform circular motion at a constant angular speed still have a constantly changing velocity?

Because it is constantly changing direction , even though its speed stays the same. Velocity is a vector, so a change in direction means the velocity is changing.

An object rotating further from the centre of a circle (larger radius) moves with a .......... angular velocity, for the same linear speed.

An object rotating further from the centre of a circle (larger radius) moves with a smaller angular velocity, for the same linear speed.

True or False? Angular speed is a vector quantity.

False. Angular speed is a scalar quantity; the vector equivalent is called angular velocity .

A LevelPhysicsCambridge (CIE)Flashcards12. Motion in a CircleKinematics of Uniform Circular Motion

Kinematics of Uniform Circular Motion (Cambridge (CIE) A Level Physics): Flashcards

Exam code: 9702

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Define radian.

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Cards in this collection (12)

Define radian.
A radian is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle.
Define angular displacement.
Angular displacement is the change in angle, in radians, of a body as it rotates around a circle.
What equation converts an angle from degrees to radians?
$θ ° \times (\frac{π}{180}) = θ rad$
What equation relates angular displacement (Δθ) to arc length (S) and radius (r)?
$Δ θ = \frac{S}{r}$
An angle of 360° is equal to .......... radians.
An angle of 360° is equal to 2π radians.
True or False?
Degrees are the preferred unit for measuring angular displacement in circular motion.
False.
In circular motion it is more convenient to measure angular displacement in radians rather than in degrees.
Define angular speed.
Angular speed (ω) is the rate of change of angular displacement with respect to time. It is a scalar quantity measured in rad s^-1.
Why does an object in uniform circular motion at a constant angular speed still have a constantly changing velocity?
Because it is constantly changing direction, even though its speed stays the same. Velocity is a vector, so a change in direction means the velocity is changing.
What equation links angular speed (ω) to the time period (T) and frequency (f)?
$ω = \frac{2 π}{T} = 2 π f$
What equation relates angular speed (ω) to linear speed (v) and radius (r)?
$ω = \frac{v}{r}$
An object rotating further from the centre of a circle (larger radius) moves with a .......... angular velocity, for the same linear speed.
An object rotating further from the centre of a circle (larger radius) moves with a smaller angular velocity, for the same linear speed.
True or False?
Angular speed is a vector quantity.
False.
Angular speed is a scalar quantity; the vector equivalent is called angular velocity.

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