Lesson 6.05a-c

6.05a-c Uniform motion in a circle Quiz: OCR Further Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 6.05a-c, Uniform motion in a circle: 20 multiple choice questions for the OCR Further Maths (H245), Unit 3: Mechanics (Y543), written with Revision Ninja.

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The 20 questions

  1. What equation relates linear speed v, radius r, and angular speed omega?

    • v = r omega^2
    • v = r / omega
    • v = r omega
    • v = r^2 omega

  2. What is the centripetal acceleration formula using radius r and angular speed omega?

    • r^2 omega
    • r omega^2
    • r / omega^2
    • r omega

  3. What is the centripetal acceleration formula in terms of linear speed v and radius r?

    • v^2 / r
    • v / r
    • v r^2
    • v / r^2

  4. What is the standard SI unit for measuring angular speed in circular motion?

    • m s^-1
    • rad s^-1
    • rad m^-1
    • rev min^-1

  5. Which equation correctly expresses period T in terms of angular speed omega?

    • T = pi omega
    • T = 2 pi omega
    • T = 2 pi / omega
    • T = omega / 2 pi

  6. What is the direction of centripetal acceleration for an object moving in a circle?

    • Towards the centre
    • Away from centre
    • Upwards vertically
    • Along the tangent

  7. What is the direction of the linear velocity vector in uniform circular motion?

    • Away from centre
    • Towards the centre
    • Parallel to axis
    • Tangential to circle

  8. In uniform circular motion, what is the direction of the net resultant force?

    • Tangential to path
    • Away from centre
    • Towards the centre
    • Directly upwards

  9. A particle moves in a circle of radius 2 m with angular speed 3 rad s^-1. Calculate linear speed.

    • 18 m s^-1
    • 5 m s^-1
    • 6 m s^-1
    • 1.5 m s^-1

  10. An object moves in a circle of radius 4 m with linear speed 8 m s^-1. Find angular speed.

    • 12 rad s^-1
    • 32 rad s^-1
    • 0.5 rad s^-1
    • 2 rad s^-1

  11. A particle moves at 4 m s^-1 in a circle of radius 2 m. Calculate centripetal acceleration.

    • 2 m s^-2
    • 8 m s^-2
    • 16 m s^-2
    • 4 m s^-2

  12. A mass of 3 kg moves in a 2 m radius circle at 2 rad s^-1. Calculate centripetal force.

    • 12 N
    • 36 N
    • 24 N
    • 48 N

  13. For a conical pendulum, which force component balances the weight of the pendulum bob?

    • Horizontal tension
    • Centripetal force
    • Vertical tension
    • Normal reaction

  14. For a conical pendulum, which force component provides the required centripetal force for motion?

    • Weight of bob
    • Direct normal reaction
    • Horizontal tension
    • Vertical tension

  15. What force provides centripetal acceleration for a car travelling around an unbanked circular track?

    • Normal reaction
    • Weight
    • Friction
    • Engine thrust

  16. A particle completes one full circular orbit in time T = pi seconds. Calculate its angular speed.

    • 3.14 rad s^-1
    • 0.5 rad s^-1
    • 2 rad s^-1
    • 1 rad s^-1

  17. What speed v allows a car to negotiate a smooth banked curve of radius r at angle theta?

    • sqrt(rg tan theta)
    • sqrt(rg cos theta)
    • sqrt(rg sin theta)
    • rg tan theta

  18. A conical pendulum of string length L makes angle theta with vertical. What is path radius r?

    • L cos theta
    • L tan theta
    • L sin theta
    • L / sin theta

  19. A conical pendulum has length L at angle theta to vertical. What is its angular speed omega?

    • sqrt(g L cos theta)
    • sqrt(g / (L cos theta))
    • g / (L cos theta)
    • sqrt(g / (L sin theta))

  20. If path radius doubles while angular speed stays constant, how does centripetal force change?

    • It quadruples
    • It stays unchanged
    • It halves
    • It doubles

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