Lesson 6.3.1

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

20 questions

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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. An angle of one radian subtends an arc length equal to which dimension of the circle?

    • The diameter
    • The circumference
    • The radius
    • Half the radius
  2. What is defined as the rate of change of angular displacement with time?

    • Tangential speed
    • Centripetal force
    • Angular acceleration
    • Angular velocity
  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. How many radians are in one complete revolution?

    • 180 radians
    • 2π radians
    • π radians
    • 4π radians

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