Master Rotational Motion: Interactive Quizzes for Physics Students

Question 1

Which SI unit represents torque?

Accepted Answer

Newton-meter

Answer

Newton

Answer

Joule

Answer

Radian

Question 2

Regarding torque due to force on a body, which statement is true?

Accepted Answer

It depends on the force and the distance from the axis of rotation.

Answer

It is always parallel to the force.

Answer

It remains constant regardless of the force's application point.

Answer

It can only have positive values.

Question 3

In the case of a uniformly rolling disk, which point exhibits the greatest speed?

Accepted Answer

Edge

Answer

Center

Answer

Midpoint between center and edge

Answer

Any point on the disk

Question 4

Which equation links torque, moment of inertia, and angular acceleration?

Accepted Answer

τ = Iα

Answer

F = ma

Answer

v = ωr

Answer

ω = αt

Question 5

Which characteristic is NOT associated with a gyroscope?

Accepted Answer

Fixed axis of rotation

Answer

High moment of inertia

Answer

Rapid spinning

Answer

Ability to exert stabilizing torque

Question 6

The angular momentum of a rotating body is defined as:

Accepted Answer

Product of its moment of inertia and angular velocity

Answer

Product of its mass and angular velocity

Answer

Product of its linear momentum and angular displacement

Answer

Product of its torque and angular acceleration

Question 7

Which factor does NOT influence the moment of inertia of an object?

Accepted Answer

Angular velocity

Answer

Distribution of mass

Answer

Shape

Answer

Material composition

Question 8

Which condition is NOT necessary for rotational equilibrium?

Accepted Answer

Constant acceleration

Answer

Zero net torque

Answer

Object at rest

Answer

Constant angular velocity

Question 9

For an object rotating under the action of a constant torque, the angular acceleration is:

Accepted Answer

Directly proportional to the torque

Answer

Inversely proportional to the torque

Answer

Independent of the torque

Answer

Proportional to the square of the torque

Question 10

Which of the following is NOT a type of moment of inertia?

Accepted Answer

Linear moment of inertia

Answer

Mass moment of inertia

Answer

Area moment of inertia

Answer

Polar moment of inertia

Question 11

Which law is a fundamental principle in rotational motion?

Accepted Answer

Conservation of angular momentum

Answer

Conservation of energy

Answer

Conservation of linear momentum

Answer

Conservation of mass

Question 12

The moment of inertia of a thin rod about its center of mass is expressed by:

Accepted Answer

(1/12) * m * L^2

Answer

(1/2) * m * L^2

Answer

m * L^2

Answer

(2/5) * m * L^2

Question 13

Which of the following is NOT a quantity associated with rotational motion?

Accepted Answer

Linear acceleration

Answer

Angular displacement

Answer

Moment of inertia

Answer

Angular velocity

Question 14

The work done by a torque is:

Accepted Answer

Torque * Angular Displacement

Answer

Force * Displacement

Answer

Mass * Acceleration

Answer

Kinetic Energy * Time

Question 15

The rotational equivalent of linear force is:

Accepted Answer

Torque

Answer

Mass

Answer

Angular Momentum

Answer

Moment of Inertia

Question 16

What is the formula for torque?

Accepted Answer

F × r

Answer

F × r²

Answer

r × F

Answer

r² × F

Question 17

What is the SI unit of moment of inertia?

Accepted Answer

Kilogram meter squared (kg⋅m²)

Answer

Kilogram per square meter (kg/m²)

Answer

Kilogram per square meter squared (kg/m^2)

Answer

Kilogram meter (kg⋅m)

Question 18

How are torque and angular acceleration related?

Accepted Answer

They are directly proportional.

Answer

They are inversely proportional.

Answer

They are not related.

Answer

They are related by a constant.

Question 19

What is the formula for the kinetic energy of a rotating object?

Accepted Answer

½ Iω²

Answer

½ mω²

Answer

Iω

Answer

mω

Question 20

Which of the following factors affects an object's moment of inertia?

Accepted Answer

Both mass and shape

Answer

Mass only

Answer

Shape only

Answer

Neither mass nor shape

Question 21

What is the angular equivalent of linear momentum?

Accepted Answer

Angular momentum

Answer

Moment of inertia

Answer

Torque

Answer

Angular velocity

Question 22

Which aspect of rotational motion is often considered the most challenging to understand?

Accepted Answer

The relationship between linear and angular quantities

Answer

The concept of torque

Answer

The calculation of moment of inertia

Answer

The application of conservation of angular momentum

Question 23

Which device utilizes the principle of conservation of angular momentum?

Accepted Answer

Gyroscope

Answer

Pendulum

Answer

Spring

Answer

Pulley

Question 24

Which factor does NOT influence the moment of inertia of a rigid body?

Accepted Answer

Temperature

Answer

Mass

Answer

Distribution of mass

Answer

Shape

Question 25

What factors determine an object's moment of inertia?

Accepted Answer

Mass

Accepted Answer

Shape

Answer

Volume

Answer

Density

Question 26

An object is rotating about a fixed axis. Which of the following does NOT affect its moment of inertia?

Accepted Answer

Density of the object

Answer

Mass of the object

Answer

Distribution of mass relative to the axis

Answer

Shape of the object

Question 27

A force of 10 N is applied tangent to the edge of a wheel with a radius of 0.5 m. What is the torque produced?

Accepted Answer

10 N-m

Answer

5 N-m

Answer

20 N-m

Answer

40 N-m

Question 28

Which of the following is the SI unit of angular velocity?

Accepted Answer

Radian per second

Answer

Meter per second

Answer

Kilogram meter squared per second

Answer

Newton-second

Question 29

A spinning ice skater pulls her arms towards her body. What happens to her angular velocity?

Accepted Answer

Decreases

Answer

Increases

Answer

Remains the same

Answer

Varies depending on the skater's mass

Question 30

Which of the following is NOT a characteristic of rolling motion without slipping?

Accepted Answer

Acceleration of the object can be in any direction

Answer

No relative motion between the object and the surface at the point of contact

Answer

Linear velocity of the object is proportional to its angular velocity

Answer

The object's angular acceleration is constant

Question 31

A wheel has an initial angular velocity of 5 rad/s. It is subjected to an angular acceleration of 3 rad/s^2 for 10 seconds. What is its final angular velocity?

Accepted Answer

55 rad/s

Answer

10 rad/s

Answer

35 rad/s

Answer

75 rad/s

Question 32

What causes the motion of a gyroscope?

Accepted Answer

Conservation of angular momentum

Answer

Internal friction within the gyroscope

Answer

Gravitational force acting on the gyroscope

Answer

Air resistance acting on the gyroscope

Question 33

In a closed system, which physical quantity is conserved?

Accepted Answer

Angular momentum

Answer

Linear momentum

Answer

Kinetic energy

Answer

Potential energy

Question 34

A rigid body is rotating about a fixed axis. Which of the following factors does NOT contribute to its angular momentum?

Accepted Answer

Linear acceleration of the body

Answer

Mass of the body

Answer

Angular velocity of the body

Answer

Moment of inertia of the body

Question 35

The SI unit of torque is the:

Accepted Answer

Newton-meter

Answer

Joule

Answer

Watt

Answer

Kilogram-meter

Question 36

A flywheel has a moment of inertia of 20 kg-m^2. If an external torque of 10 Nm is applied for 5 seconds, its final angular velocity will be:

Accepted Answer

2.5 rad/s

Answer

1 rad/s

Answer

2 rad/s

Answer

5 rad/s

Question 37

The direction of angular velocity for a rotating rigid body is:

Accepted Answer

Always perpendicular to the axis of rotation

Answer

Always parallel to the axis of rotation

Answer

Can be either parallel or perpendicular to the axis of rotation

Answer

Always opposite to the direction of rotation

Question 38

For a rigid body undergoing pure rolling without slipping, which of the following quantities remains constant?

Accepted Answer

Angular velocity

Answer

Linear velocity

Answer

Total energy

Answer

Linear momentum

Question 39

Which of the following is NOT a necessary condition for equilibrium of a rigid body?

Accepted Answer

Body is moving with constant velocity

Answer

Net external force is zero

Answer

Net external torque is zero

Answer

Center of mass is at rest

Question 40

Which of the following is NOT a type of motion associated with rotational motion?

Accepted Answer

Translational motion

Answer

Uniform circular motion

Answer

Simple harmonic motion

Answer

Precession

Question 41

The ability of a gyroscope to maintain its orientation in space is primarily due to the conservation of:

Accepted Answer

Angular momentum

Answer

Linear momentum

Answer

Energy

Answer

Mass

Question 42

Which of the following is NOT a valid unit of angular displacement?

Accepted Answer

Radians per second

Answer

Radians

Answer

Revolutions

Answer

Degrees

Question 43

The angular momentum of a system remains constant if:

Accepted Answer

No external torque acts on the system

Answer

The system has a constant moment of inertia

Answer

The system is rotating at a constant speed

Answer

The system is in equilibrium

Question 44

What is the SI unit of torque?

Accepted Answer

Newton-meter

Answer

Joule

Answer

Kilogram-meter

Question 45

The angular acceleration of an object is directly proportional to:

Accepted Answer

The net torque applied to the object

Answer

The radius of rotation

Answer

The moment of inertia of the object

Answer

The mass of the object

Question 46

For an object to roll without slipping, which of the following must be true?

Accepted Answer

Linear velocity at the point of contact must be zero

Answer

The object is perfectly spherical

Answer

Linear velocity is equal to angular velocity

Answer

Angular acceleration is zero

Question 47

Which force provides the necessary direction change for an object moving in a circular path?

Accepted Answer

Centripetal force

Answer

Gravitational force

Answer

Frictional force

Answer

Normal force

Question 48

Which equation relates linear and angular quantities for an object rolling without slipping?

Accepted Answer

v = ω * r

Answer

F = τ * r

Answer

a = α * r

Answer

K = 1/2 * I * ω^2

Question 49

A figure skater spins with their arms outstretched. When they pull their arms in close to their body, what happens to their angular velocity?

Accepted Answer

Increases

Answer

Stays the same

Answer

Cannot be determined from the information provided

Answer

Decreases

Question 50

A uniform rod of length L and mass M is pivoted at one end. What is the moment of inertia of the rod about the pivot point?

Accepted Answer

(1/3)ML²

Answer

ML²

Answer

(1/4)ML²

Answer

(1/2)ML²

Question 51

A wheel is rotating at a constant angular velocity. Which of the following statements is true?

Accepted Answer

The wheel has a constant angular momentum

Answer

The wheel has a constant torque acting on it

Answer

The wheel has a constant linear velocity

Answer

The wheel has a constant angular acceleration

Question 52

A solid cylinder rolls down an incline without slipping. What is the ratio of its translational kinetic energy to its rotational kinetic energy?

Accepted Answer

1:1

Answer

3:1

Answer

2:1

Answer

1:2

Question 53

Two identical disks are rotating at the same angular velocity. One disk has twice the mass of the other. Which disk has the greater angular momentum?

Accepted Answer

The disk with twice the mass

Answer

Both disks have the same angular momentum

Answer

The disk with half the mass

Answer

It depends on the radius of the disks