Rotational And Circular Motion MCQs
What is the SI unit of angular displacement?
Degree
Radian
Revolution
Meter
The relationship between linear velocity (v) and angular velocity (ω) is:
v = ω/r
v = r/ω
v = rω
v = r²ω
Centripetal acceleration is always directed:
Tangent to the circular path
Away from the center
Towards the center
In the direction of velocity
The rotational analogue of mass is:
Torque
Angular momentum
Moment of inertia
Angular velocity
Torque is defined as the cross product of:
Force and velocity
Position vector and force
Mass and angular acceleration
Force and position vector
If no external torque acts on a system, which quantity is conserved?
Kinetic energy
Angular velocity
Angular momentum
Moment of inertia
The rotational kinetic energy of a body is given by:
(1/2)mv²
(1/2)I²ω
Iω
(1/2)Iω²
A geostationary satellite orbits the Earth. What is its angular velocity?
Equal to the Sun's angular velocity
Zero
Equal to the Earth's angular velocity
Greater than the Earth's angular velocity
The time period of a geostationary satellite is:
1 hour
24 hours
30 days
365 days
Artificial gravity in a space station can be created by:
Increasing the station's mass
Moving at high speed
Rotating the station
Decreasing the air pressure
How many radians are in 180 degrees?
The direction of angular velocity is determined by the:
Left-hand rule
Right-hand rule
Law of gravitation
Newton's second law
For a rigid body rotating with constant angular velocity, its angular acceleration is:
Maximum
Constant but non-zero
Zero
Variable
The force required to keep an object moving in a circle is called:
Centrifugal force
Gravitational force
Centripetal force
Frictional force
Moment of inertia depends on the mass of the body and the:
Angular velocity
Applied torque
Distribution of mass about the axis
Linear velocity
Which has a larger moment of inertia: a solid sphere or a hollow sphere of the same mass and radius?
Solid sphere
Hollow sphere
They have the same moment of inertia
Depends on the angular velocity
The dimensions of angular momentum are:
[MLT⁻¹]
[ML²T⁻¹]
[ML²T⁻²]
[MT⁻²]
Orbital velocity of a satellite close to the Earth is approximately:
7.9 km/s
11.2 km/s
9.8 m/s
3.0 × 10⁸ m/s
Weightlessness experienced by an astronaut in orbit is due to:
Zero gravity at that altitude
The spacecraft shielding from gravity
The astronaut and spacecraft being in constant free-fall
The high speed of the spacecraft
For a car on a banked curve (angle θ), the centripetal force is provided by:
The car's weight
The horizontal component of the normal force
The force of friction only
The vertical component of the normal force
What is the angular speed of the minute hand of a clock in rad/s?
A flywheel gains a speed of 540 rpm in 6 seconds. Its angular acceleration is:
3π rad/s²
6π rad/s²
9π rad/s²
18π rad/s²
The equations of rotational motion are valid only for:
Constant angular velocity
Constant angular acceleration
Variable angular acceleration
Any rotational motion
A dancer spinning on ice pulls her arms in. Her angular speed:
Decreases
Remains the same
Increases
Becomes zero
The reaction force to the centripetal force is:
The centrifugal force
The gravitational force
A force on the agent providing the centripetal force
There is no reaction force
What is the work done by the centripetal force in uniform circular motion?
Positive
Negative
Zero
Depends on the radius
An object moves from (2, 3) to (4, 5). The angular displacement about the origin is:
Positive (counter-clockwise)
Negative (clockwise)
Zero
Undefined
A solid cylinder and a hollow cylinder (same mass/radius) roll down an incline. Which reaches the bottom first?
The solid cylinder
The hollow cylinder
They reach at the same time
Depends on the incline angle
The expression for centripetal acceleration (a_c) in terms of ω and r is:
a_c = ωr²
a_c = ω²r
a_c = ω/r
a_c = ω²/r
In the SI system, the unit of torque is:
Joule (J)
Newton-meter (N·m)
Watt (W)
Pascal (Pa)
For a satellite, the square of its orbital period is proportional to the:
Cube of its orbital radius
Square of its orbital radius
Mass of the satellite
Orbital velocity
A body moves in a circle with increasing speed. The angle between its velocity and acceleration is:
90°
180°
Less than 90°
Greater than 90°
Which of the following physical quantities is a pseudovector (axial vector)?
Linear velocity
Force
Torque
Linear displacement
The moment of inertia of a thin rod (mass M, length L) about an axis through its center is:
ML²
(1/3)ML²
(1/12)ML²
(1/2)ML²
A satellite in a 'parking orbit' is one which is:
In a geostationary orbit
Temporarily in a low orbit before boosting higher
In an orbit around the Sun
No longer in use
The angular momentum of a rigid body is the product of its moment of inertia and:
Angular acceleration
Angular velocity
Linear velocity
Time period
In uniform circular motion, which quantity remains constant?
Velocity
Acceleration
Speed
Displacement
A disc is rotating with angular velocity ω. If a child sits on it, what is conserved?
Kinetic energy
Potential energy
Angular momentum
Linear momentum
A car moves at 10 m/s on a circular track of radius 50 m. What is its centripetal acceleration?
0.2 m/s²
2 m/s²
5 m/s²
500 m/s²
One radian is approximately equal to:
Communication satellites are usually placed in which type of orbit?
Polar orbit
Geostationary orbit
Elliptical orbit
Low Earth orbit (LEO)
A body rotates through an angle of 3 revolutions. The angle in radians is:
The linear acceleration of a point on a rotating wheel is the vector sum of its tangential acceleration and:
Gravitational acceleration
Angular acceleration
Centripetal acceleration
Zero
For an object in equilibrium, the net torque acting on it must be:
Maximum
Zero
Constant but non-zero
Equal to the net force
Escape velocity is √2 times the:
Speed of light
Speed of sound
Orbital velocity for a close orbit
Terminal velocity
A hoop and a solid disk (same mass/radius) are released from an incline. The hoop's speed at the bottom will be:
Greater than the disk's speed
Less than the disk's speed
Equal to the disk's speed
Zero
Which law explains why a spinning top remains upright?
Newton's First Law
Conservation of Energy
Conservation of Angular Momentum
Kepler's Laws
A point P on the rim of a rolling wheel has maximum velocity when it is:
At the top of the wheel
At the bottom of the wheel
At the same level as the center
The velocity is always constant
The term 'g' in artificial gravity (e.g., '2g') refers to:
Mass in grams
Earth's surface gravity (≈ 9.8 m/s²)
The universal gravitational constant
The speed of the habitat
If Earth shrank to half its radius (mass constant), the length of a day would be:
24 hours
12 hours
6 hours
48 hours
Tangential acceleration in circular motion changes the object's:
Direction of velocity
Speed
Angular velocity
Mass
For a conical pendulum, the centripetal force is provided by:
The weight of the mass
The tension in the string
The horizontal component of tension
The vertical component of tension
The rate of change of angular momentum is equal to the:
Applied force
Moment of inertia
Angular acceleration
Applied torque
Why doesn't water fall out of a bucket swirled in a vertical circle?
Centrifugal force pushes the water out
Gravity is zero at the top
Gravity and normal force provide centripetal force
Adhesive forces are too strong
The total energy of a satellite in a stable orbit is:
Always positive
Always zero
Always negative
Equal to its kinetic energy
A wheel with angular momentum 10 J·s is stopped by a 2 N·m torque. How long does it take?
The moment of inertia of a body does NOT depend on:
The mass of the body
The distribution of mass
The axis of rotation
The angular velocity of the body
If a body is in rotational equilibrium, which statement must be true?
It is not rotating
Net force is zero
Its angular acceleration is zero
Its angular momentum is zero
For a rolling sphere, what is the ratio of rotational KE to total KE?
A person's weight at the North Pole is W. Their apparent weight at the equator is:
Greater than W
Less than W
Equal to W
Zero
Angular impulse is equal to the change in:
Angular velocity
Angular momentum
Rotational kinetic energy
Moment of inertia
If a satellite is moved to an orbit of larger radius, its speed:
Increases
Decreases
Remains the same
Becomes zero
A 10 N·m torque is applied to a flywheel (I = 2 kg·m²). The angular acceleration is:
0.2 rad/s²
5 rad/s²
12 rad/s²
20 rad/s²
The work done by a torque τ in rotating a body through an angle θ is:
W = τ/θ
W = τθ
W = τω
W = τα
Which quantity has the same dimensions as angular momentum?
Work
Power
Planck's Constant (h)
Torque
A body starts from rest with angular acceleration of 2 rad/s². What is its angular displacement after 4 s?
A fan rotating at 1200 rpm stops in 10 seconds. The average angular deceleration is:
2π rad/s²
4π rad/s²
20π rad/s²
40π rad/s²
The direction of the torque vector is:
Along the position vector r
Along the force vector F
Perpendicular to the plane containing r and F
Opposite to the position vector r
If a platform's radius is halved and its angular velocity is doubled, the centripetal acceleration will be:
Halved
Doubled
Quadrupled
Unchanged
What is the frequency of a geostationary satellite?
1 Hz
1/3600 Hz
1/86400 Hz
24 Hz
A circular disk has I = (1/2)MR² about its center. What is its moment of inertia about a diameter?
(1/2)MR²
(1/4)MR²
MR²
(2/5)MR²
If a particle's linear momentum is constant, its angular momentum is conserved only if:
The force on it is zero
It moves along a line through the reference point
The torque is constant
It moves in a circle
The critical speed at the top of a vertical loop for a mass to complete the loop is:
Einstein's theory of gravitation interprets gravity as:
A force acting at a distance
An exchange of gravitons
The curvature of spacetime
An electromagnetic phenomenon
A solid sphere rotates in free space. If it expands (mass constant), its angular velocity will:
Increase
Decrease
Remain unchanged
Become zero
The dimensions of the universal gravitational constant G are:
[MLT⁻²]
[M⁻¹L³T⁻²]
[ML⁻¹T⁻²]
[L²T⁻²]
The rotational power delivered by a torque τ is given by:
P = τθ
P = τα
P = τω
P = τ/ω
For an object rolling without slipping, the condition relating v and ω is:
v < rω
v > rω
v = rω
v = r/ω
If the angular velocity vector of a spinning body points out of the page, it is spinning:
Clockwise
Counter-clockwise
Into the page
Impossible to tell
A couple is a pair of forces that are:
Equal and in the same direction
Unequal and opposite
Equal, opposite, and collinear
Equal, opposite, and separated by a distance
A flywheel is used in an engine to:
Increase the engine's power
Reduce friction
Smooth out fluctuations in rotational speed
Increase the engine's speed
The orbital period of a planet depends on its average orbital radius and:
The mass of the planet
The mass of the sun
The planet's temperature
The planet's rotational speed
The SI unit of moment of inertia is:
At what height 'h' is gravity half its surface value? (R is Earth's radius)
An object in uniform circular motion has a constant:
Angular momentum vector
Linear momentum vector
Acceleration vector
Position vector
The total angular momentum of a system is conserved when the net external ________ is zero.
A body rotates with constant angular deceleration. A graph of its angular velocity (ω) vs. time (t) is a:
Parabola
Hyperbola
Straight line with negative slope
Straight line with positive slope
The escape velocity from the Moon is less than from Earth because the Moon has:
Smaller mass and smaller radius
No atmosphere
A higher temperature
A slower rotational speed
The work-energy theorem for rotation states that net work equals the change in:
Angular momentum
Rotational kinetic energy
Potential energy
Moment of inertia
Which statement about centripetal and centrifugal forces is correct?
They are an action-reaction pair
Centripetal is real, centrifugal is fictitious
Centrifugal is real, centripetal is fictitious
Both are real forces
A turntable rotates at 33 rpm. The angular velocity in rad/s is approximately:
3.5 rad/s
33 rad/s
207 rad/s
0.55 rad/s
A satellite in an elliptical orbit has its greatest speed when it is:
Closest to the planet (perigee)
Farthest from the planet (apogee)
At the ends of the minor axis
Constant throughout the orbit
Two gears are in mesh (40 teeth and 10 teeth). When the small gear makes 4 revolutions, the large gear makes:
1 revolution
4 revolutions
8 revolutions
16 revolutions
A ballerina spins with arms outstretched. When she brings her arms in:
Her rotational kinetic energy is conserved
Her angular momentum decreases
Her moment of inertia increases
Her angular velocity increases
The center of mass of a rigid body:
Must be inside the body
May be outside the body
Is always at its geometric center
Depends on the body's velocity
A car turns on a level road. The centripetal force is provided by:
The normal force
The weight of the car
Static friction between tires and road
The engine's thrust
The value of gravitational acceleration 'g' is maximum at the:
Equator
Poles
Tropic of Cancer
Same at all places
An object in a state of 'free fall' is said to be:
Weightless
In zero gravity
Accelerating upwards
Moving at constant velocity
The time period of a simple pendulum in an orbiting satellite is:
Zero
Infinite
Same as on Earth
Slightly less than on Earth
The 'g-force' experienced by a pilot in a sharp turn is a measure of:
The gravitational field strength
The aircraft's speed
Apparent weight as a multiple of normal weight
The engine's thrust
Other Physics Topics MCQs
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