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