Lesson MD1-MD3

MD1-MD3 Uniform circular motion Quiz: AQA Further Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson MD1-MD3, Uniform circular motion: 20 multiple choice questions for the AQA Further Maths (7367), Unit 3: Optional application 1: mechanics, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. Angular speed is defined as the rate of change of which quantity with respect to time?

    • The radius of the circle
    • The linear acceleration
    • The angle turned through by the radius
    • The linear distance travelled

  2. What is the angle, in radians, subtended at the centre of a circle by an arc whose length equals the radius?

    • pi divided by 2 radians
    • 1 degree
    • 2 pi radians
    • 1 radian

  3. What is the SI unit of angular speed?

    • Radians per second
    • Metres per second squared
    • Metres per second
    • Revolutions per metre

  4. In uniform circular motion, the acceleration of the particle is directed:

    • Towards the centre of the circle
    • In the direction of the velocity
    • Away from the centre of the circle
    • Along the tangent to the circle

  5. For a particle moving in a circle at constant speed, which quantity remains constant?

    • Direction of motion
    • Acceleration
    • Speed
    • Velocity

  6. Which formula relates linear speed v, radius r and angular speed omega?

    • v = r omega
    • v = omega divided by r
    • v = r squared omega
    • v = r divided by omega

  7. A wheel turns at 60 revolutions per minute. What is its angular speed in radians per second?

    • 60 rad/s
    • pi rad/s
    • 120 pi rad/s
    • 2 pi rad/s

  8. A particle moves in a circle of radius 0.5 m with speed 3 m/s. What is its angular speed?

    • 3.5 rad/s
    • 1.5 rad/s
    • 6 rad/s
    • 0.17 rad/s

  9. A particle moves in a circle of radius 2 m with angular speed 3 rad/s. What is the magnitude of its acceleration?

    • 6 m/s^2
    • 18 m/s^2
    • 12 m/s^2
    • 9 m/s^2

  10. A particle moves in a circle of radius 0.8 m at a constant speed of 4 m/s. What is the magnitude of its acceleration?

    • 20 m/s^2
    • 12.8 m/s^2
    • 5 m/s^2
    • 3.2 m/s^2

  11. A wheel of radius 0.3 m turns at 120 revolutions per minute. What is the angular speed of the wheel in radians per second?

    • 0.4 pi rad/s
    • 4 pi rad/s
    • 2 pi rad/s
    • 12 pi rad/s

  12. A particle moves in a circle with angular speed 4 rad/s. How long does it take to complete one full revolution?

    • 2 pi s
    • 8 pi s
    • pi/2 s
    • pi/8 s

  13. A particle moves in a circle of radius 1.5 m with angular speed 2 rad/s. What is its acceleration magnitude?

    • 1.33 m/s^2
    • 3 m/s^2
    • 12 m/s^2
    • 6 m/s^2

  14. Two points on a rotating turntable lie at radii 0.2 m and 0.4 m from the axis. Which statement is correct?

    • Both points have the same linear speed
    • The inner point has twice the linear speed
    • The outer point has twice the linear speed
    • The outer point has four times the linear speed

  15. A particle moves at 6 m/s around a circle of radius 3 m. How long does it take to travel through an angle of 90 degrees?

    • pi/2 s
    • pi s
    • pi/8 s
    • pi/4 s

  16. A particle moves in a circle at constant speed. If its speed is doubled while the radius stays the same, how does its acceleration change?

    • It is unchanged
    • It doubles
    • It becomes four times as large
    • It becomes eight times as large

  17. A particle moves in a circle of radius 3 m with acceleration 12 m/s^2 towards the centre. What is its angular speed?

    • 36 rad/s
    • 6 rad/s
    • 2 rad/s
    • 4 rad/s

  18. Particle A moves on a circle of radius 1 m with angular speed 3 rad/s. Particle B moves on a circle of radius 2 m at linear speed 6 m/s. Which statement is correct?

    • B has greater acceleration of 18 m/s^2
    • Both have equal acceleration of 9 m/s^2
    • B has acceleration of 3 m/s^2
    • A has greater acceleration of 9 m/s^2

  19. A wheel of radius 0.35 m turns at 40 revolutions per second. What is the linear speed of its rim?

    • 14 pi m/s
    • 0.35 pi m/s
    • 28 pi m/s
    • 80 pi m/s

  20. A particle moves in a circle of radius 0.5 m at constant speed and completes 3 revolutions in 2 seconds. What is the magnitude of its acceleration?

    • 3 pi^2 m/s^2
    • 18 pi^2 m/s^2
    • 9 pi m/s^2
    • 4.5 pi^2 m/s^2

All AQA Further Maths quizzes