1. Angular acceleration is defined as the:
(A) Rate of change of angular displacement
(B) Rate of change of angular velocity
(C) Rate of change of torque
(D) Rate of change of momentum
2. The SI unit of angular acceleration is:
(A) radian
(B) rad/s
(C) rad/s²
(D) degree/s
3. Symbol of angular acceleration is:
(A) ω
(B) α
(C) θ
(D) τ
4. Angular acceleration is a:
(A) Scalar quantity
(B) Vector quantity
(C) Dimensionless
(D) Constant
5. Dimensional formula of angular acceleration:
(A) [M⁰L⁰T⁻²]
(B) [M⁰L¹T⁻¹]
(C) [M⁰L⁰T⁻¹]
(D) [M¹L⁰T⁻²]
6. Formula for angular acceleration:
(A) α = Δθ/Δt
(B) α = Δω/Δt
(C) α = τ/I
(D) Both B and C
7. If angular velocity increases with time, angular acceleration is:
(A) Zero
(B) Negative
(C) Positive
(D) Constantly zero
8. If angular velocity decreases with time, angular acceleration is:
(A) Positive
(B) Negative
(C) Zero
(D) Infinite
9. Angular acceleration in uniform circular motion is:
(A) Zero
(B) Constant
(C) Infinite
(D) Negative
10. Angular acceleration is caused by:
(A) Mass
(B) Torque
(C) Momentum
(D) Distance
11. Relation between torque and angular acceleration:
(A) τ = Iα
(B) τ = α/I
(C) τ = ωr
(D) τ = Fr
12. If a wheel speeds up from 20 rad/s to 40 rad/s in 4 seconds, angular acceleration =:
(A) 5 rad/s²
(B) 10 rad/s²
(C) 20 rad/s²
(D) 40 rad/s²
13. Instantaneous angular acceleration is given by:
(A) dθ/dt
(B) dω/dt
(C) d²θ/dt²
(D) Both B and C
14. A fan blade slowing down is an example of:
(A) Positive angular acceleration
(B) Negative angular acceleration
(C) Zero angular acceleration
(D) Infinite angular acceleration
15. The angular acceleration of Earth’s rotation is:
(A) Zero
(B) Constant
(C) Positive
(D) Negative
16. Angular acceleration is maximum when:
(A) Torque is maximum
(B) Radius is maximum
(C) Inertia is maximum
(D) Angular velocity is zero
17. If α = 0, then angular velocity is:
(A) Increasing
(B) Constant
(C) Decreasing
(D) Negative
18. The relationship between linear acceleration (a) and angular acceleration (α) is:
(A) a = rα
(B) a = α/r
(C) a = r/α
(D) a = αr²
19. Angular acceleration can be produced without torque.
(A) True
(B) False
Answer: (B) False
20. The unit degree/s² is:
(A) SI unit
(B) Non-SI unit
(C) Not used
(D) Dimensionless
21. If a body rotates uniformly, angular acceleration =:
(A) Zero
(B) Constant
(C) Positive
(D) Negative
22. The angular acceleration vector is along:
(A) Tangent
(B) Radius
(C) Axis of rotation
(D) Displacement
23. If a wheel rotates with constant angular acceleration, its angular displacement is:
(A) θ = ωt + ½ αt²
(B) θ = ωt² + αt
(C) θ = αt
(D) θ = t²/α
24. When angular acceleration is constant, motion is called:
(A) Uniform circular motion
(B) Non-uniform circular motion
(C) Angularly accelerated motion
(D) Oscillatory motion
25. In SHM, angular acceleration is proportional to:
(A) Displacement
(B) Velocity
(C) Amplitude
(D) Frequency
26. Angular acceleration in SHM is directed:
(A) Along displacement
(B) Opposite to displacement
(C) Along velocity
(D) Random
27. Angular acceleration and angular velocity are related by:
(A) α = dω/dt
(B) α = ω/t
(C) α = ω²/t
(D) α = t/ω
28. If a wheel slows down uniformly, its angular acceleration is:
(A) Zero
(B) Negative
(C) Positive
(D) Constantly zero
29. The angular acceleration of the second hand of a clock is:
(A) Zero
(B) Positive
(C) Negative
(D) Constant
30. The greater the moment of inertia, the ______ the angular acceleration for a given torque.
(A) Greater
(B) Smaller
(C) Equal
(D) Zero
31. If torque doubles, angular acceleration:
(A) Halves
(B) Doubles
(C) Remains constant
(D) Becomes zero
32. In rotational motion, angular acceleration corresponds to:
(A) Linear acceleration in translation
(B) Force
(C) Energy
(D) Momentum
33. Which of the following is not a unit of angular acceleration?
(A) rad/s²
(B) degree/s²
(C) RPM/s
(D) m/s²
34. Negative angular acceleration is also called:
(A) Deceleration
(B) Retardation
(C) Both A and B
(D) Oscillation
35. If ω = 10 rad/s and reduces to 0 in 5 seconds, angular acceleration =:
(A) -2 rad/s²
(B) 2 rad/s²
(C) 5 rad/s²
(D) -5 rad/s²
36. Angular acceleration depends on:
(A) Angular velocity and time
(B) Torque and inertia
(C) Radius
(D) All of the above
37. In uniform acceleration, final angular velocity is:
(A) ω = ω₀ + αt
(B) ω = ω₀ – αt
(C) ω = αt
(D) ω = θt
38. The angular acceleration of the Earth’s revolution around the Sun is:
(A) Zero
(B) Positive
(C) Negative
(D) Constant
39. If α is constant, angular displacement is proportional to:
(A) t
(B) t²
(C) t³
(D) t⁴
40. If a wheel turns through θ = t² rad in t seconds, angular acceleration =:
(A) 1 rad/s²
(B) 2 rad/s²
(C) t rad/s²
(D) Zero
41. The angular acceleration of a rigid body is:
(A) Same for all points
(B) Different for each point
(C) Maximum at the center
(D) Zero at edge
42. Which of the following factors does not affect angular acceleration?
(A) Torque
(B) Moment of inertia
(C) Radius
(D) Displacement
43. Angular acceleration vector direction is determined by:
(A) Left-hand rule
(B) Right-hand rule
(C) Fleming’s rule
(D) Newton’s law
44. If α = 0, angular displacement is:
(A) Linear with time
(B) Quadratic with time
(C) Constant
(D) Zero
45. A freely spinning top with no torque has:
(A) Constant angular velocity
(B) Increasing angular velocity
(C) Zero angular velocity
(D) Negative angular velocity
46. Angular acceleration is directly proportional to:
(A) Torque
(B) Force
(C) Mass
(D) Velocity
47. If α is negative, the body is:
(A) Speeding up
(B) Slowing down
(C) Rotating uniformly
(D) At rest
48. Average angular acceleration =:
(A) Δθ/Δt
(B) Δω/Δt
(C) ωt
(D) θ²/t
49. A ceiling fan switched off shows:
(A) Positive angular acceleration
(B) Negative angular acceleration
(C) Zero angular acceleration
(D) Constant angular acceleration
50. In rotational dynamics, angular acceleration plays the same role as ______ in linear dynamics.
(A) Force
(B) Acceleration
(C) Momentum
(D) Velocity