Angular velocity – MCQs

1. Angular velocity is defined as the:
(A) Rate of change of angular displacement
(B) Rate of change of linear velocity
(C) Distance traveled per unit time
(D) Product of torque and radius

2. SI unit of angular velocity is:
(A) Radian
(B) Radian/second
(C) Degree/second
(D) Revolution

3. The symbol for angular velocity is:
(A) θ
(B) ω
(C) α
(D) τ

4. Angular velocity is a:
(A) Scalar quantity
(B) Vector quantity
(C) Dimensionless
(D) Tensor

5. Relation between linear velocity (v) and angular velocity (ω):
(A) v = ωr
(B) v = r/ω
(C) v = ω²r
(D) v = r²/ω

6. If a wheel makes 1 revolution per second, its angular velocity is:
(A) π rad/s
(B) 2π rad/s
(C) π/2 rad/s
(D) 4π rad/s

7. Angular velocity can be positive or negative depending on:
(A) Axis length
(B) Direction of rotation
(C) Mass of body
(D) Force applied

8. The dimensional formula of angular velocity is:
(A) [M⁰L⁰T⁻¹]
(B) [M⁰L¹T⁻¹]
(C) [M¹L⁰T⁻²]
(D) [M⁰L⁰T²]

9. If angular displacement = θ and time = t, then angular velocity =:
(A) θ/t
(B) t/θ
(C) θt
(D) θ²/t

10. For uniform circular motion, angular velocity is:
(A) Constant
(B) Increasing
(C) Decreasing
(D) Zero

11. The Earth’s angular velocity about its own axis is approximately:
(A) 2π rad/day
(B) π rad/s
(C) 2π rad/hour
(D) 1 rad/s

12. In SHM, angular velocity is related to:
(A) Frequency
(B) Amplitude
(C) Phase
(D) Displacement

13. Angular velocity in terms of frequency f:
(A) ω = 2πf
(B) ω = f/2π
(C) ω = π/f
(D) ω = f²/2π

14. For a rotating fan blade, angular velocity is measured in:
(A) Rad/s
(B) RPM
(C) Degree/s
(D) All of the above

15. If angular displacement is 180° in 2 seconds, angular velocity =:
(A) π rad/s
(B) π/2 rad/s
(C) 2π rad/s
(D) π² rad/s

16. Angular velocity vector points along:
(A) Radius
(B) Tangent
(C) Axis of rotation
(D) Arc length

17. The direction of angular velocity is given by:
(A) Right-hand rule
(B) Left-hand rule
(C) Fleming’s rule
(D) Newton’s law

18. Instantaneous angular velocity is defined as:
(A) Δθ/Δt
(B) dθ/dt
(C) θ/t
(D) θ × t

19. A car tire rotating at 600 RPM has angular velocity:
(A) 20π rad/s
(B) 10π rad/s
(C) 5π rad/s
(D) 50π rad/s

20. When angular velocity is zero, the body is:
(A) At rest or moving linearly
(B) Rotating fast
(C) Accelerating
(D) Vibrating

21. In uniform circular motion, angular velocity vector is:
(A) Constant in magnitude and direction
(B) Constant in magnitude, changing in direction
(C) Variable in both
(D) Zero

22. If angular velocity is constant, angular acceleration is:
(A) Zero
(B) Constant
(C) Variable
(D) Infinite

23. The angular velocity of Earth around the Sun is:
(A) 2π rad/year
(B) 2π rad/day
(C) π rad/month
(D) 2 rad/year

24. In a CD player, angular velocity is highest at:
(A) Center
(B) Edge
(C) Middle
(D) Constant everywhere

25. Relation between angular velocity and time period T:
(A) ω = 2π/T
(B) ω = T/2π
(C) ω = T²/2π
(D) ω = 2πT

26. Angular velocity depends on:
(A) Time taken
(B) Angular displacement
(C) Both A and B
(D) None

27. The angular velocity of the minute hand of a clock is:
(A) 2π/3600 rad/s
(B) 2π/60 rad/s
(C) 2π/600 rad/s
(D) 2π/6 rad/s

28. Maximum angular velocity occurs when:
(A) Body rotates rapidly
(B) Radius is minimum
(C) Displacement is large
(D) Torque is maximum

29. If frequency = 10 Hz, angular velocity =:
(A) 20π rad/s
(B) 10π rad/s
(C) 2π rad/s
(D) 5π rad/s

30. For constant linear velocity in a circle, angular velocity is:
(A) v/r
(B) v × r
(C) v²/r
(D) r/v

31. The angular velocity of a rigid body is same for:
(A) All points
(B) Only center
(C) Only edge
(D) Varies with radius

32. Which of the following is not a unit of angular velocity?
(A) Rad/s
(B) Degree/s
(C) RPM
(D) m/s

33. Angular velocity is related to angular momentum by:
(A) L = Iω
(B) L = ω/I
(C) L = ωr
(D) L = mrω

34. If angular velocity increases with time, the motion is:
(A) Accelerated rotation
(B) Uniform circular motion
(C) Oscillation
(D) Translational motion

35. In rotational motion, angular velocity corresponds to:
(A) Linear velocity in translation
(B) Torque
(C) Displacement
(D) Energy

36. The angular velocity of Earth’s rotation per hour is:
(A) π/12 rad/h
(B) 2π rad/h
(C) π rad/h
(D) 2π/24 rad/h

37. Uniform angular velocity means:
(A) Constant ω
(B) Constant α
(C) Constant torque
(D) Constant radius

38. If a wheel rotates 30° in 1 second, angular velocity is:
(A) π/6 rad/s
(B) π/3 rad/s
(C) π rad/s
(D) 2π rad/s

39. For harmonic motion, angular velocity =:
(A) √(k/m)
(B) k/m
(C) F/m
(D) 1/2π

40. RPM stands for:
(A) Rotations per meter
(B) Rotations per minute
(C) Revolutions per mass
(D) Radial per motion

41. The unit “degree per second” is:
(A) SI unit
(B) Non-SI unit
(C) Not used
(D) Dimensionless

42. If angular velocity = constant, motion is:
(A) Uniform circular motion
(B) Oscillation
(C) Random motion
(D) Linear motion

43. The angular velocity vector is always:
(A) Perpendicular to the plane of rotation
(B) Tangential to the circle
(C) Along the radius
(D) Opposite to displacement

44. Which has greater angular velocity?
(A) Fan blade at high speed
(B) Ferris wheel
(C) Earth’s revolution
(D) Hour hand of a clock

45. Angular velocity is often expressed in:
(A) Rad/s or RPM
(B) m/s
(C) Joules
(D) Newtons

46. If a wheel rotates 5 revolutions in 2 seconds, angular velocity is:
(A) 5π rad/s
(B) 10π rad/s
(C) 2π rad/s
(D) π rad/s

47. The angular velocity of the second hand of a clock is:
(A) 2π/60 rad/s
(B) 2π/3600 rad/s
(C) 2π rad/s
(D) 2π/6 rad/s

48. Angular velocity depends on:
(A) Angular displacement and time
(B) Linear velocity and radius
(C) Both A and B
(D) None

49. If ω = 2π rad/s, the body completes:
(A) 1 revolution per second
(B) 2 revolutions per second
(C) ½ revolution per second
(D) 10 revolutions per second

50. Angular velocity is maximum in:
(A) Rapid spins
(B) Slow oscillations
(C) Earth’s revolution
(D) Long pendulum swing