- 1. It is the turning effect of a force about an axis or point.
A) Torque
B) Angular momentum
C) Moment of inertia
D) Angular acceleration
- 2. The SI unit of torque is:
A) N
B) kg·m/s²
C) Nm
D) J
- 3. The unit of angular acceleration is:
A) rad/s
B) m/s²
C) rad/s²
D) N·m
- 4. What quantity determines how much torque is needed for angular acceleration?
A) Mass
B) Angular velocity
C) Force
D) Moment of inertia
- 5. The straight line about which rotation takes place is called the ____.
A) Tangent
B) Radius
C) Axis of rotation
D) Lever arm
- 6. The SI unit of angular velocity is ____.
A) m/s
B) rad/s
C) rad
D) m/s²
- 7. The angular displacement is measured in ____.
A) Radians
B) Degrees per second
C) Newtons
D) Joules
- 8. The rotational equivalent of linear velocity is ____.
A) Angular velocity
B) Linear acceleration
C) Angular displacement
D) Torque
- 9. The formula for torque is ____.
A) τ = F × rl
B) τ = F/l
C) τ = F + l
D) τ = F × l × sinθ
- 10. The unit of moment of inertia is ____.
A) kg·m²
B) J
C) kg/s²
D) N·m
- 11. The symbol used for angular velocity is ____.
A) θ
B) τ
C) ω
D) α
- 12. The rate of change of angular velocity is called ____.
A) Rotational inertia
B) Angular acceleration
C) Angular displacement
D) Angular speed
- 13. The symbol for angular displacement is ____.
A) θ
B) ω
C) α
D) τ
- 14. The symbol for moment of inertia is _____.
A) ω
B) M
C) τ
D) I
- 15. The formula for the moment of inertia of a point mass is _____.
A) I = mr
B) I = m/r²
C) I = r/m²
D) I = mr²
- 16. For a solid cylinder rotating about its axis, 𝐼=?
A) (2/5)MR²
B) (1/3)MR²
C) (1/2)MR²
D) MR²
- 17. The rate of change of displacement.
A) Speed
B) Force
C) Acceleration
D) Velocity
- 18. The rate of change of velocity.
A) Momentum
B) Force
C) Work
D) Acceleration
- 19. Symbol for angular acceleration.
A) θ
B) α
C) L
D) ω
- 22. Symbol for tangential acceleration.
A) α
B) ω
C) τ
D) aₜ
- 23. Symbol for radius or lever arm.
A) r
B) l
C) d
D) x
- 24. The moment of inertia depends on:
A) Angular velocity only
B) Radius of rotation only
C) Mass only
D) Mass distribution and radius
- 25. A wheel increases its angular speed uniformly from 5 rad/s to 15 rad/s in 5 seconds. What is its angular acceleration?
A) 2 rad/s²
B) 1 rad/s²
C) 4 rad/s²
D) 3 rad/s²
- 26. A 4 N force is applied perpendicular to a wrench 0.2 m long. The torque produced is ____.
A) 0.5 N·m
B) 0.1 N·m
C) 20 N·m
D) 0.8 N·m
- 27. A 4 kg disk with radius 0.3 m. Find its moment of inertia about its axis.
A) 0.18 kg·m²
B) 0.36 kg·m²
C) 0.09 kg·m²
D) 0.27 kg·m²
- 28. If an object’s angular velocity decreases while rotating clockwise, the angular acceleration is directed ____.
A) Counterclockwise
B) Upward
C) Tangentially
D) Clockwise
- 29. Which of the following best describes torque?
A) The product of mass and acceleration
B) The rotational equivalent of force
C) The product of inertia and velocity
D) The rate of change of momentum
- 30. Which of the following statements about torque is TRUE?
A) Torque acts along the radius.
B) Torque acts along the axis of rotation.
C) Torque acts perpendicular to the force.
D) Torque equals mass times velocity.
- 31. The torque produced by a 10 N force applied 0.2 m from the pivot is ____.
A) 5 N·m
B) 1 N·m
C) 0.5 N·m
D) 2 N·m
- 32. Rotational motion cannot exist without torque.
A) FALSE
B) TRUE
- 33. A door is easier to open by pushing near the hinge.
A) FALSE
B) TRUE
- 34. In rotational motion, angular displacement, velocity, and acceleration are analogous to linear motion’s displacement, velocity, and acceleration.
A) FALSE
B) TRUE
- 35. Torque is the product of force and lever arm.
A) FALSE
B) TRUE
- 36. Torque can cause a change in the rotational speed of an object.
A) FALSE
B) TRUE
- 37. The farther a force is applied from the pivot point, the greater the torque.
A) TRUE
B) FALSE
- 38. A mechanic uses a longer wrench to loosen a tight bolt. What principle explains why the longer wrench is more effective?
A) Increasing lever arm increases torque
B) Torque equals work done per second
C) Torque depends only on mass
D) Greater force increases torque
- 39. A wheel rotates at 5 rad/s. How many radians does it rotate in 4 seconds if its angular speed is constant?
A) 10 rad
B) 25 rad
C) 20 rad
D) 15 rad
- 40. A fan’s angular velocity increases from 2 rad/s to 6 rad/s in 2 seconds. Find its angular acceleration.
A) 1 rad/s²
B) 2 rad/s²
C) 3 rad/s²
D) 4 rad/s²
- 41. A flywheel has a moment of inertia of 2 kg·m² and an angular acceleration of 3 rad/s². What torque acts on it?
A) 3 N·m
B) 5 N·m
C) 6 N·m
D) 2 N·m
- 42. A rotating disk accelerates from rest to 12 rad/s in 3 seconds. Find its angular acceleration.
A) 4 rad/s²
B) 3 rad/s²
C) 2 rad/s²
D) 6 rad/s²
- 43. What is the SI unit of tangential acceleration?
A) m/s
B) rad/s²
C) m/s²
D) N·m
- 44. The linear (tangential) acceleration of a point on a rotating body is given by:
A) at=rα
B) at=Iα
C) at=τr
D) at=ωr
- 45. What does torque measure?
A) Resistance to motion
B) Rotational speed
C) Angular velocity
D) Rotational effect of a force
- 46. A ceiling fan’s angular speed changes from 5 rad/s to 15 rad/s in 5 seconds. Find its angular acceleration and total angular displacement.
A) 3 rad/s², 60 rad
B) 2 rad/s², 25 rad
C) 2 rad/s², 50 rad
D) 1 rad/s², 10 rad
- 47. A 0.3 m radius wheel turns with angular speed 10 rad/s. What is the tangential velocity of a point on its rim?
A. 1 m/s B. 2 m/s C. D. 4 m/s
A) 2 m/s
B) 3 m/s
C) 4 m/s
D) 1 m/s
- 48. A potter’s wheel (r = 0.30 m) rotates at 4.0 rad/s. Find the tangential velocity of a point on its edge.
A) 1.5 m/s
B) 1.0 m/s
C) 1.2 m/s
D) 0.9 m/s
- 49. What symbol represents tangential velocity?
A) vₜ
B) aₜ
C) θ
D) ω
- 50. The symbol r in rotational motion equations stands for what?
A) Rotation
B) Rate
C) Radius
D) Resistance
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