Uniform circular motion - One Line Questions

1. A particle is moving in a circle of radius 10 m with a constant speed of 5 m/s. What is its centripetal acceleration? 2.5 m/s^2
2. If the angular velocity of an object is 2 rad/s and the radius of the circle is 3 m, its linear speed is: 6 m/s
3. A particle moves in a circle such that its position vector is given by r(t) = (2cos(3t))i + (2sin(3t))j. What is its speed? 6 m/s
4. A body moves in a circle of radius 0.5 m with a constant angular velocity of 4 rad/s. The centripetal acceleration is: 16 m/s^2
5. An object completes one revolution in 2 seconds in a circle of radius 5 m. Its speed is: 5π m/s
6. An object of mass 5 kg moves in a circle of radius 2 m with a speed of 10 m/s. The centripetal force required is: 250 N
7. What is the centripetal acceleration when an object completes a circle of radius 2m in 1 second? 8π^2 m/s^2
8. What is the angular speed of the Earth about its own axis? 2π rad/day
9. Which of the following is an example of uniform circular motion? The moon revolving around the Earth (approximately)
10. The centripetal acceleration 'a_c' can also be expressed in terms of angular velocity 'ω' and radius 'r' as: a_c = ω^2r
11. Centripetal force is always directed: Towards the center
12. The direction of the centripetal acceleration vector is: Radially inward
13. In uniform circular motion, the speed of the object is: Constant
14. The angular displacement is defined as the ratio of: Arc length to radius
15. If an object is moving in a circle with constant speed, its kinetic energy is: Constant
16. In uniform circular motion, the angular acceleration is: Constant and zero
17. Which of the following is NOT a characteristic of uniform circular motion? Constant velocity
18. Which of the following describes uniform circular motion? Constant speed and changing velocity
19. If the radius of the circular path is doubled while keeping the speed constant, the centripetal acceleration will: Halve
20. The time period 'T' of an object undergoing uniform circular motion is the time taken to complete: One full revolution
21. If the speed of an object in uniform circular motion is doubled, keeping the radius constant, the centripetal acceleration will: Become four times
22. If a particle moves in a circle of radius R with constant angular velocity ω, its linear momentum changes: In direction but not magnitude
23. If the mass of the object in uniform circular motion increases, while speed and radius remain constant, the centripetal force: Increases
24. What happens to the time period if the frequency of uniform circular motion is doubled? It halves
25. Which quantity is conserved in uniform circular motion? Both kinetic and angular momentum
26. The rate of change of angular velocity is called: Angular acceleration
27. The unit of angular velocity is: rad/s
28. Centripetal force is responsible for: Changing the direction of the velocity of the object
29. The magnitude of centripetal force 'F_c' acting on an object of mass 'm' moving with speed 'v' in a circle of radius 'r' is: mv^2/r
30. If the radius of the circular path is R and the angular velocity is ω, the magnitude of centripetal force on a particle of mass m is: mω^2R
31. The direction of the velocity vector in uniform circular motion is always: Perpendicular to the acceleration
32. In uniform circular motion, the work done by the centripetal force on the object in one complete revolution is: Zero
33. The centripetal acceleration is proportional to the square of: Speed
34. The angular displacement 'Δθ' in uniform circular motion is related to the arc length 's' by: s = rΔθ
35. The centripetal acceleration is inversely proportional to: Radius
36. Which of the following is a vector quantity in uniform circular motion? Velocity
37. Which statement is INCORRECT for uniform circular motion? Velocity is constant.
38. If a particle completes 'n' revolutions in time 't', its frequency is: n/t
39. The acceleration in uniform circular motion is called: Centripetal acceleration
40. The acceleration in uniform circular motion is directed towards: The center of the circle
41. The frequency 'f' of uniform circular motion is defined as: The reciprocal of the time period
42. What is the direction of the velocity vector in uniform circular motion?
43. The relationship between speed 'v', radius 'r', and time period 'T' in uniform circular motion is: v = 2πr/T
44. If an object moves in a circle of radius 'r' with constant angular velocity 'ω', its linear speed 'v' is given by: v = ωr
45. What is the magnitude of centripetal acceleration for an object moving with speed 'v' in a circle of radius 'r'? v^2/r
46. Which physical quantity remains constant in uniform circular motion? Speed
47. A particle moves on a circular path of radius R. If its speed is v, then the angle covered in time Δt is: vΔt/R
48. The condition for an object to be in uniform circular motion is that its acceleration must be: Constant and directed towards the center
49. How is the angular velocity 'ω' related to the frequency 'f'? ω = 2πf
50. If an object moves in a circle of radius r with speed v, the angular speed ω is given by: ω = v/r