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

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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.

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The 20 questions

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

    • Arc length
    • Centripetal acceleration
    • Angular displacement
    • Linear velocity

  2. What angle in radians is subtended at the circle centre by an arc equal to radius?

    • 0.5 radians
    • pi radians
    • 2pi radians
    • 1 radian

  3. What is the standard SI unit of angular speed?

    • Radians per second
    • Revolutions per minute
    • Degrees per second
    • Metres per second

  4. In uniform circular motion, in which direction does acceleration act?

    • Towards the centre
    • Opposite to velocity
    • Away from centre
    • Along the tangent

  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. A turntable rotates constantly. Compared to radius 0.2 m, linear speed at radius 0.4 m is:

    • Four times greater
    • Half as great
    • Twice as great
    • The same

  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. If speed doubles while radius remains constant in circular motion, acceleration changes by a factor of:

    • 0.5
    • 2
    • 4
    • 8

  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 (r = 1m, angular speed 3 rad/s) or B (r = 2m, speed 6 m/s): which has greater acceleration?

    • Particle B
    • Both are equal
    • Neither accelerates
    • Particle A

  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

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