Angular Motion (Rotation) – MCQs

1. Angular motion refers to motion:
(A) In a straight line
(B) Around a fixed axis
(C) With constant speed
(D) In random directions

2. The SI unit of angular displacement is:
(A) Radian
(B) Degree
(C) Meter
(D) Newton

3. The SI unit of angular velocity is:
(A) m/s
(B) rad/s
(C) m/s²
(D) N·m

4. The SI unit of angular acceleration is:
(A) m/s²
(B) rad/s²
(C) rad/s
(D) N

5. Angular velocity is defined as:
(A) Change of displacement with time
(B) Change of angular displacement with time
(C) Change of torque with time
(D) Change of radius with time

6. Angular acceleration is defined as:
(A) Change in angular displacement per unit time
(B) Change in angular velocity per unit time
(C) Change in torque per unit time
(D) Change in radius per unit time

7. The dimensional formula of angular velocity is:
(A) [M⁰L⁰T⁻¹]
(B) [M⁰L¹T⁻²]
(C) [M¹L¹T⁻²]
(D) [M⁰L¹T⁻¹]

8. A body moving in a circle with constant speed has:
(A) Zero angular velocity
(B) Constant angular velocity
(C) Increasing angular velocity
(D) Zero acceleration

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

10. Torque is the rotational analogue of:
(A) Energy
(B) Force
(C) Power
(D) Work

11. SI unit of torque is:
(A) J
(B) N·m
(C) rad/s
(D) kg·m²/s²

12. Moment of inertia depends on:
(A) Mass only
(B) Shape and mass distribution
(C) Velocity only
(D) Force applied

13. The SI unit of moment of inertia is:
(A) kg·m
(B) kg·m²
(C) N·m
(D) J

14. Angular momentum is defined as:
(A) Iω
(B) mv
(C) F × d
(D) Iα

15. The SI unit of angular momentum is:
(A) N·m
(B) J·s
(C) kg·m²/s
(D) rad/s²

16. Which law governs rotational motion?
(A) Newton’s First Law
(B) Newton’s Second Law for Rotation
(C) Newton’s Third Law
(D) Hooke’s Law

17. Rotational analogue of F = ma is:
(A) τ = Iα
(B) τ = ma
(C) v = ωr
(D) L = Iω

18. Rotational kinetic energy is given by:
(A) ½mv²
(B) ½Iω²
(C) ½kx²
(D) mgh

19. The axis about which Earth rotates is called:
(A) Polar axis
(B) Equatorial axis
(C) Geocentric axis
(D) Spin axis

20. The unit of angular frequency is:
(A) Hz
(B) rad/s
(C) m/s²
(D) rpm

21. Centripetal acceleration in terms of angular velocity is:
(A) a = ω²r
(B) a = ωr
(C) a = r/ω²
(D) a = ω/r

22. Gyroscopic effect is related to conservation of:
(A) Torque
(B) Angular velocity
(C) Angular momentum
(D) Energy

23. Precession of a spinning top is due to:
(A) Linear velocity
(B) Torque of gravity
(C) Mass of top
(D) Inertia

24. Which of the following is an example of angular motion in the body?
(A) Running
(B) Walking
(C) Rotation of arm at shoulder joint
(D) Linear jump

25. A rolling ball shows:
(A) Only linear motion
(B) Only rotational motion
(C) Linear and rotational motion
(D) No motion

26. Which physical quantity remains constant in absence of external torque?
(A) Angular momentum
(B) Angular velocity
(C) Torque
(D) Angular displacement

27. Flywheels are designed to store:
(A) Angular velocity
(B) Angular displacement
(C) Rotational energy
(D) Torque

28. Rotational inertia is greater when mass is:
(A) Near axis of rotation
(B) Far from axis of rotation
(C) Uniformly distributed
(D) Zero

29. The rate of change of angular momentum is equal to:
(A) Force
(B) Torque
(C) Energy
(D) Work

30. A gymnast pulls in her arms to spin faster. This is due to:
(A) Increase in torque
(B) Conservation of angular momentum
(C) Decrease in inertia
(D) Frictional force

31. Which is the rotational equivalent of mass?
(A) Torque
(B) Moment of inertia
(C) Angular momentum
(D) Angular acceleration

32. Rolling without slipping condition is:
(A) v = ωr
(B) v = r/ω
(C) v = ω²r
(D) v = r²ω

33. The angular velocity of Earth’s rotation is approximately:
(A) 2π rad/day
(B) 2π rad/hour
(C) 2π rad/minute
(D) 2π rad/second

34. Which body part is an axis for angular motion in the human leg?
(A) Knee joint
(B) Elbow joint
(C) Shoulder joint
(D) Neck joint

35. A rigid body in pure rotation has:
(A) Same linear velocity everywhere
(B) Same angular velocity everywhere
(C) Same torque everywhere
(D) Same linear acceleration everywhere

36. Angular displacement between two complete revolutions is:
(A) 2π rad
(B) 4π rad
(C) 6π rad
(D) 8π rad

37. Which sport involves angular motion?
(A) Discus throw
(B) Sprinting
(C) Long jump
(D) Weightlifting

38. In rotational motion, work done is given by:
(A) τθ
(B) Fd
(C) Iω²
(D) mgh

39. Which factor does not affect torque?
(A) Force applied
(B) Perpendicular distance from axis
(C) Angular velocity
(D) Angle of force

40. The formula for angular acceleration (α) is:
(A) α = Δω/Δt
(B) α = Δθ/Δt
(C) α = v/r
(D) α = τ/I

41. Rotational analogue of linear momentum is:
(A) Angular velocity
(B) Angular acceleration
(C) Angular momentum
(D) Torque

42. If angular velocity is constant, angular acceleration is:
(A) Zero
(B) Maximum
(C) Infinite
(D) Negative

43. Which of these is a unit of angular displacement?
(A) rad
(B) Hz
(C) N·m
(D) m/s

44. A bicycle wheel rotating at constant speed has:
(A) Zero angular displacement
(B) Zero angular velocity
(C) Constant angular velocity
(D) Zero torque

45. If torque is doubled, angular acceleration becomes:
(A) Half
(B) Double
(C) Same
(D) Zero

46. In biomechanics, angular motion occurs mostly at:
(A) Muscles
(B) Joints
(C) Bones
(D) Ligaments

47. Rotational work-energy theorem states:
(A) Work done = change in angular displacement
(B) Work done = change in kinetic energy
(C) Torque = force × distance
(D) Energy = power × time

48. A figure skater spinning faster with arms folded demonstrates:
(A) Increase in angular velocity
(B) Decrease in angular momentum
(C) Increase in moment of inertia
(D) Zero torque

49. Which machine part stores rotational energy?
(A) Spring
(B) Flywheel
(C) Gear
(D) Pulley

50. The product of torque and angular displacement is:
(A) Work
(B) Power
(C) Momentum
(D) Energy per unit time