MDCAT XI Physics Rotational and Circular Motion Online Test 2026

1. Which of the following quantities is the rotational analogue of force?

2. Torque acting on a body becomes zero when:

3. The SI unit of torque is:

4. Torque is defined as the product of:

5. The value of 1 degree in radians is equal to:

6. Shaft of an electric motor is rotating at 1 rpm (revolution per minute) and the current provide to the motor is 12A with the resistance of 2 ohms, what will be the value of 1 rpm?

7. The correct relationship between angular velocity (ω) and frequency (f) is:

8. If a particle moves in a circle with constant angular velocity, which of the following quantities remains constant?

9. Angular velocity is defined as the rate of change of:

10. The law of conservation of angular momentum is most clearly demonstrated in:

11. If the moment of inertia of a rotating body decreases, then its angular velocity will: (assuming no external torque)

12. Which of the following quantities remains conserved when no external torque acts on a rotating system?

13. The law of conservation of angular momentum states that angular momentum of a system remains constant if:

14. Two particles of mass 1 kg and 4 kg are attached to the ends of a light rod of length 3 meters. If the axis of rotation passes through the center of the rod, what is the total rotational inertia of the system?

15. If the distance (r) of both particles from the axis of rotation in a two-particle system is tripled, by what factor does the rotational inertia of the system increase?

16. Which of the following factors does moment of inertia depend upon?

17. For a banked curve to be safe at very high speeds with a very small radius of curvature, how must the banking angle (θ) change?

18. A 1 kg ball is whirled in a vertical circle of radius 1 m. If the speed at the top is 5 m/s, what is the centripetal force acting on the ball?

19. In the derivation for a banked curve, why must the vertical component of the normal force (N cosθ) equal the weight (mg) of the car?

20. On a banked road, what is the primary advantage of the "ideal" banking angle?

21. For a ball tied to a string and whirling in a vertical circle, at which specific position is the tension in the string at its minimum value?

22. A road curve with a radius of 50 meters is banked at an angle where tan θ = 0.2. What is the ideal speed for a car to navigate this curve without needing friction? (Use g = 10 m/s²)

23. A system consists of two particles, each of mass 2 kg, located at a distance of 3 meters on opposite sides of a central axis of rotation. What is the total rotational inertia of this two-particle system?

24. Which of the following factors has the greatest impact on the rotational inertia (I) of a two-particle system if its value is doubled?

25. In the figure of the spinning skater (Figure Q26), she spins faster when arms are pulled in. This is due to:

26. Two spheres (solid and hollow) are released from a ramp (Figure Q25). Which reaches the bottom first?

27. A wheel rotating at 12 rad/s is brought to rest in 4 seconds. What is the magnitude of its angular deceleration?

28. A 0.5 kg ball is whirled in a vertical circle. At the lowest point, the tension in the string is 15 N and the weight is 5 N. What is the net centripetal force at this position?

29. An object completes 5 full revolutions in 10 seconds. What is its average angular velocity in rad/s?

30. A fan blade has an angular acceleration of 4 rad/s². If the distance from the center to the tip of the blade is 0.25 meters, what is the tangential acceleration of the tip?

31. A road curve has a radius of 100 meters and is banked at an angle where tan θ = 0.4. What is the ideal speed for a car to take this curve without friction? (Use g = 10 m/s²)

32. A 2 kg stone is tied to a string and whirled in a horizontal circle of radius 1 meter. If its tangential speed is 3 m/s, what is the centripetal force?

33. A small motor accelerates a shaft from rest to an angular velocity of 40 rad/s in 5 seconds. What is the average angular acceleration?

34. An object moves in a circle of radius 2 meters at a constant speed of 4 m/s. What is its centripetal acceleration?

35. A bicycle wheel with a radius of 0.5 meters is spinning with an angular velocity of 10 rad/s. What is the linear (tangential) speed of a point on the rim?

36. A point on a rotating disc travels along an arc length of 12 meters. If the radius of the disc is 4 meters, what is its angular displacement?

37. When applying torque with a wrench or opening a door, the effectiveness of the applied force depends on the distance from the axis and which other factor?

38. What is the moment of inertia (I) formula for a solid sphere rotating about its central axis?

39. Based on the relationship between degrees and circular measurement, how many degrees are approximately in 1 radian?

40. For a satellite orbiting the Earth, what provides the necessary centripetal force to keep it in a circular path?

41. How many radians are equivalent to one complete revolution?

42. What is the relationship between linear (tangential) acceleration (a) and angular acceleration (α)?

43. If a ball tied to a string is whirling in a circle and the string suddenly breaks, what will be the ball's subsequent motion?

44. Which equation relates the banking angle (θ) to the speed (v) of a vehicle and the radius of curvature (r)?

45. On an "ideally banked curve" where friction is absent, which force component provides the necessary centripetal acceleration?

46. In uniform circular motion, what is the direction of the centripetal acceleration?

47. If the tangential velocity of an object in a circular path is doubled while the radius remains constant, what happens to the centripetal force?

48. The radian is defined as the ratio of which two quantities?

49. According to the right-hand rule, if a circular disk is rotating counter-clockwise, what is the direction of the angular velocity vector?

50. What is the SI unit for angular velocity, even though it is commonly written as rad/s?