Lesson 6.3.1

6.3.1 Radians, angular displacement and angular velocity Quiz: Pearson Edexcel Physics, Unit 6

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 6.3.1, Radians, angular displacement and angular velocity: 20 multiple choice questions for the Pearson Edexcel Physics (9PH0), Unit 6: Further Mechanics, written with Revision Ninja.

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The 20 questions

  1. One radian is the angle subtended at the centre of a circle by an arc whose length is equal to what?

    • The circumference of the circle divided by two pi
    • The diameter of the circle
    • The radius of the circle
    • The area of the sector divided by the radius squared

  2. Angular velocity is defined as which quantity?

    • The linear speed of an object divided by its distance from the centre
    • The total angle turned by an object in one full revolution
    • The rate of change of linear displacement with respect to time
    • The rate of change of angular displacement with respect to time

  3. What is the SI unit of angular velocity?

    • m s^-1
    • rev s^-1
    • rad s^-1
    • rad s^-2

  4. Which equation relates linear speed v, angular velocity omega and radius r for an object moving in a circle?

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

  5. Which equation relates the period T and angular velocity omega of uniform circular motion?

    • T = pi / (2 omega)
    • T = 2 pi / omega
    • T = 2 pi omega
    • T = omega / (2 pi)

  6. Convert 60 degrees to radians.

    • 3.14 rad
    • 1.05 rad
    • 0.52 rad
    • 0.33 rad

  7. Convert 2.5 radians to degrees.

    • 143 degrees
    • 250 degrees
    • 25 degrees
    • 90 degrees

  8. A wheel of radius 0.30 m rotates with angular velocity 4.0 rad s^-1. What is the linear speed of a point on its rim?

    • 1.2 m s^-1
    • 13 m s^-1
    • 4.3 m s^-1
    • 0.075 m s^-1

  9. A turntable rotates at 33 revolutions per minute. What is its angular velocity?

    • 33 rad s^-1
    • 3.5 rad s^-1
    • 0.55 rad s^-1
    • 207 rad s^-1

  10. An object rotates with angular velocity 5.0 rad s^-1. What is its period of rotation?

    • 5.0 s
    • 31 s
    • 0.80 s
    • 1.3 s

  11. A point on a rotating disc completes 3 full revolutions in 6.0 s. What is its angular displacement?

    • 12 rad
    • 19 rad
    • 6.0 rad
    • 3.0 rad

  12. A point moves 5.0 m along a circular arc of radius 2.0 m. What is the angle subtended at the centre?

    • 7.0 rad
    • 0.40 rad
    • 10 rad
    • 2.5 rad

  13. A rotating object has frequency 50 Hz. What is its angular velocity?

    • 3.1 rad s^-1
    • 25 rad s^-1
    • 50 rad s^-1
    • 3.1 x 10^2 rad s^-1

  14. A car wheel of diameter 0.60 m rotates at 10 rad s^-1 without slipping. What is the speed of the car?

    • 1.5 m s^-1
    • 0.60 m s^-1
    • 6.0 m s^-1
    • 3.0 m s^-1

  15. A wheel rotates at a constant angular velocity of 4.0 rad s^-1 for 10 s. What is its angular displacement?

    • 14 rad
    • 0.40 rad
    • 40 rad
    • 2.5 rad

  16. A disc of radius 0.50 m has a point on its rim moving at constant linear speed 2.0 m s^-1. What is the time for one complete revolution?

    • 1.6 s
    • 3.1 s
    • 0.25 s
    • 13 s

  17. The Earth rotates once on its axis in 24 hours. What is its angular velocity?

    • 7.3 x 10^-5 rad s^-1
    • 2.6 x 10^-4 rad s^-1
    • 7.3 x 10^-2 rad s^-1
    • 4.2 x 10^-3 rad s^-1

  18. The tip of a minute hand of length 0.10 m moves on a circle. What is its linear speed?

    • 1.0 x 10^-4 m s^-1
    • 1.7 x 10^-4 m s^-1
    • 6.3 x 10^-2 m s^-1
    • 1.7 x 10^-3 m s^-1

  19. A motor shaft turns at a constant angular velocity of 120 rad s^-1 for 0.50 s. How many complete revolutions does it make?

    • About 9.5 revolutions
    • About 3.8 revolutions
    • About 19 revolutions
    • About 60 revolutions

  20. A student says that angular velocity in rad s^-1 has the same numerical value as the number of revolutions per second. Which response is correct?

    • The student is wrong, because one revolution per second equals one radian per second divided by pi
    • The student is wrong, because one revolution per second equals 2 pi rad per second
    • The student is right, because a radian and a revolution are the same size of angle
    • The student is right, because angular velocity is always measured in revolutions per second

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