Master Rotational Motion: Interactive Quizzes for Biology Majors

Question 1

What is the SI unit of torque?

Accepted Answer

Newton-meter (N⋅m)

Answer

Joule (J)

Answer

Radian (rad)

Answer

Kilogram-meter (kg⋅m)

Question 2

A wheel spins at a constant speed. Which quantity is conserved during its motion?

Accepted Answer

Angular momentum

Answer

Kinetic energy

Answer

Gravitational potential energy

Answer

Linear momentum

Question 3

A lever is acted upon by a force of 10 N applied at a distance of 2 m from the fulcrum. Calculate the torque applied to the lever.

Accepted Answer

10 N⋅m

Answer

5 N⋅m

Answer

15 N⋅m

Answer

20 N⋅m

Question 4

A disk rolls on a horizontal surface without slipping. Which statement about its motion is true?

Accepted Answer

Its angular velocity and linear velocity are equal

Answer

Its angular velocity is greater than its linear velocity

Answer

Its linear velocity is greater than its angular velocity

Answer

Its linear and angular velocities are both zero

Question 5

What is the SI unit of moment of inertia?

Accepted Answer

Kilogram meter squared

Answer

Kilogram

Answer

Newton meter

Answer

Newton meter squared

Question 6

Which of the following does NOT influence the moment of inertia of a body?

Accepted Answer

Volume

Answer

Mass

Answer

Shape

Answer

Density

Question 7

Why does a skater spin faster when they pull their arms inward?

Accepted Answer

Their moment of inertia decreases

Answer

Their moment of inertia increases

Answer

Their angular velocity decreases

Answer

Their angular velocity increases

Question 8

Perpendicular to the axis of rotation, how is the direction of the torque vector?

Accepted Answer

Perpendicular

Answer

Parallel

Answer

In the same direction as the angular velocity

Answer

Opposite to the direction of the angular velocity

Question 9

A particle of mass m moves in a circle of radius r with constant speed v. What is its angular momentum?

Accepted Answer

mrv

Answer

(1/2)mrv

Answer

(2mrv)

Answer

0

Question 10

A particle of mass m moves in a circle of radius r with constant speed v. What is its centripetal acceleration?

Accepted Answer

v²/r

Answer

rv²

Answer

v/r

Answer

r/v

Question 11

A particle of mass m moves in a circle of radius r with constant speed v. What is its period of revolution?

Accepted Answer

(2πr)/v

Answer

v/(2πr)

Answer

(πr)/v

Answer

2πv/r

Question 12

The angular momentum of a particle moving in a circle is given by the expression:

Accepted Answer

(mass × speed × radius)

Answer

(mass × speed²) / radius

Answer

(radius × speed × mass)

Answer

(radius² × speed) / mass

Question 13

An object is rotating with a constant angular velocity. Which of the following statements about the object's angular acceleration is true?

Accepted Answer

It is zero.

Answer

It is proportional to the angular velocity.

Answer

It is proportional to the inverse of the angular velocity.

Answer

It is equal to the angular velocity squared.

Question 14

A gyroscope is a device that uses the principle of:

Accepted Answer

Conservation of angular momentum

Answer

Conservation of energy

Answer

Conservation of linear momentum

Answer

Buoyancy

Question 15

The primary purpose of a flywheel is to:

Accepted Answer

Store kinetic energy

Answer

Increase angular acceleration

Answer

Increase torque

Answer

Reduce angular momentum

Question 16

Which equation correctly relates angular velocity, angular acceleration, and time?

Accepted Answer

ω = ω₀ + αt

Answer

v = u + at

Answer

a = vω

Answer

t = ω/α

Question 17

Angular momentum of a system remains conserved if:

Accepted Answer

No external torques act upon it

Answer

The torque is constant

Answer

The system is closed

Answer

Angular velocity remains constant

Question 18

Which example best represents a rigid body?

Accepted Answer

A spinning top

Answer

A bouncing ball

Answer

A flowing liquid

Answer

A vibrating string

Question 19

How does a flywheel with a large moment of inertia help stabilize the speed of a rotating machine?

Accepted Answer

It stores energy during speed increases and releases it during decreases, regulating the machine's speed.

Answer

It increases the machine's overall mass, making it more resistant to speed changes.

Answer

It reduces the torque applied to the machine, ensuring smoother rotation.

Answer

It has no impact on the machine's speed.

Question 20

A rigid body rotating about a fixed axis has a moment of inertia of 2 kg m^2. If the angular velocity of the body is 10 rad/s, what is its rotational kinetic energy?

Accepted Answer

200 J

Answer

100 J

Answer

50 J

Answer

25 J

Question 21

Which of the following is a unit of torque?

Accepted Answer

Newton-meter

Answer

Joule

Answer

Kilogram-meter

Answer

Radian

Question 22

A gyroscope is a device that is used to measure:

Accepted Answer

Angular velocity

Answer

Linear acceleration

Answer

Linear velocity

Answer

Torque

Question 23

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

Accepted Answer

Radians per second squared

Answer

Radians per minute

Answer

Degrees per second squared

Answer

Revolutions per second

Question 24

What is the relationship between the linear velocity of a point on a rotating object and its distance from the axis of rotation?

Accepted Answer

Linear velocity is directly proportional to the distance from the axis

Answer

Linear velocity is inversely proportional to the distance from the axis

Answer

Linear velocity is independent of the distance from the axis

Question 25

A solid sphere and a hollow sphere of equal mass and radius are released from rest at the top of an incline. Which object will reach the bottom first?

Accepted Answer

The solid sphere

Answer

It depends on the incline's angle

Answer

Both will reach the bottom at the same time

Answer

The hollow sphere

Question 26

A spinning ice skater extends her arms. What happens to her angular velocity?

Accepted Answer

It decreases

Answer

It increases

Answer

It depends on the initial angular velocity

Answer

It remains the same

Question 27

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

(1/2)ML²

Answer

ML²

Answer

(1/12)ML²

Question 28

A torque of 10 N⋅m is applied to a wheel with a moment of inertia of 2 kg⋅m². What is the angular acceleration of the wheel?

Accepted Answer

5 rad/s²

Answer

10 rad/s²

Answer

20 rad/s²

Answer

2.5 rad/s²

Question 29

A wheel is rotating at a constant angular velocity. What is the net torque acting on the wheel?

Accepted Answer

Zero

Answer

Depends on the moment of inertia

Answer

Constant and non-zero

Answer

Changing

Question 30

A merry-go-round is rotating at a constant angular velocity. A child walks from the center towards the edge. What happens to the child's linear velocity?

Accepted Answer

It increases

Answer

It depends on the initial angular velocity

Answer

It decreases

Answer

It remains the same

Question 31

A spinning top is slowing down due to friction. What type of angular acceleration does it experience?

Accepted Answer

Angular deceleration

Answer

Angular jerk

Answer

Zero angular acceleration

Answer

Constant angular acceleration

Question 32

A rigid body is rotating about a fixed axis. Which of the following quantities remains constant?

Accepted Answer

Angular momentum

Answer

Angular velocity

Answer

Kinetic energy

Answer

Torque

Question 33

A solid cylinder and a hollow cylinder have the same mass and radius. Both are rolling down an inclined plane without slipping. Which object will reach the bottom first?

Accepted Answer

Solid cylinder

Answer

Not enough information provided

Answer

Hollow cylinder

Answer

Both reach at the same time

Question 34

A rigid body rotates about a fixed axis. Which of the following quantities remains constant?

Accepted Answer

Angular momentum

Answer

Kinetic energy

Answer

Angular velocity

Answer

Linear momentum

Question 35

A flywheel of radius R and mass M is rotating with angular velocity ω. What is its kinetic energy?

Accepted Answer

1/2 Iω^2

Answer

1/4 Iω^2

Answer

Iω^2

Answer

2 Iω^2

Question 36

A particle is moving in a circular path with constant speed. Which of the following statements is true?

Accepted Answer

Its acceleration is always directed towards the center of the circle.

Answer

Its acceleration is always tangent to the circle.

Answer

Its acceleration is zero.

Question 37

A turntable rotates with a constant angular velocity. A small object is placed on the edge of the turntable. What is the direction of the net force acting on the object?

Accepted Answer

Towards the center of the turntable

Answer

Tangential to the turntable

Answer

Away from the center of the turntable

Question 38

A gyroscope is a device that uses the conservation of angular momentum. How does it work?

Accepted Answer

By maintaining a constant orientation in space, resisting external torques.

Answer

By decreasing its angular velocity when an external torque is applied.

Answer

By increasing its angular velocity when an external torque is applied.

Question 39

A child is spinning on a playground merry-go-round. If the child moves closer to the center, what happens to their angular velocity?

Accepted Answer

It increases

Answer

It becomes zero

Answer

It remains the same

Answer

It decreases

Question 40

An object rotating about a fixed axis has a constant angular velocity. Which of the following statements is true about its angular acceleration?

Accepted Answer

Zero

Answer

Variable

Answer

Negative

Answer

Positive

Question 41

The moment of inertia of a rigid body about a given axis depends on:

Accepted Answer

Mass distribution and the choice of axis

Answer

Mass only

Answer

Axis of rotation only

Question 42

Two objects of equal mass are rotating about different axes parallel to each other. The object with the larger radius of gyration has:

Accepted Answer

Greater moment of inertia

Answer

Smaller angular velocity

Answer

Less kinetic energy

Answer

Longer period of rotation

Question 43

A flywheel is used to store energy in a rotating system. The flywheel has a constant angular acceleration. Which of the following graphs best represents the relationship between its angular velocity and time?

Accepted Answer

Straight line with positive slope

Answer

Straight line with negative slope

Answer

Parabola

Question 44

A torque is applied to a rigid body that is initially at rest. The torque is removed after a certain time interval. Which of the following statements is true about the body's subsequent motion?

Accepted Answer

It will continue to rotate with constant angular velocity

Answer

It will accelerate until it reaches a terminal velocity

Answer

It will come to rest instantaneously

Question 45

A particle is moving in a circular path with constant speed. Which of the following statements about its acceleration is true?

Accepted Answer

It is always directed towards the center of the circle

Answer

It is always directed tangentially to the circle

Answer

It is zero

Question 46

Two objects are rotating about the same axis with different moments of inertia. Which object will have the larger angular momentum?

Accepted Answer

The object with the larger moment of inertia and angular velocity

Answer

The object with the smaller moment of inertia and larger angular velocity

Answer

The object with the larger moment of inertia and smaller angular velocity

Question 47

A solid sphere and a hollow sphere of the same mass and radius roll down an incline without slipping. Which object reaches the bottom first?

Accepted Answer

The solid sphere

Answer

The hollow sphere

Answer

It depends on the incline angle

Answer

Both reach the bottom at the same time

Question 48

A figure skater spins with her arms outstretched. When she pulls her arms in close to her body, what happens to her angular velocity?

Accepted Answer

Increases

Answer

Decreases

Answer

Remains the same

Question 49

A torque is applied to a rotating object, causing its angular velocity to change from 10 rad/s to 20 rad/s in 5 seconds. What is the magnitude of the angular acceleration?

Accepted Answer

2 rad/s²

Answer

20 rad/s²

Answer

5 rad/s²

Answer

10 rad/s²

Question 50

Which of the following units is NOT associated with torque?

Accepted Answer

kg·m/s

Answer

J/rad

Answer

N·m

Answer

lb·ft

Question 51

A wheel rotates at a constant angular velocity. What can be said about the tangential velocity of a point on the rim of the wheel?

Accepted Answer

It is constant in magnitude but changing in direction.

Answer

It is constant in both magnitude and direction.

Answer

It is changing in both magnitude and direction.

Question 52

Two objects of equal mass are rotating about a common axis. Object A has a larger moment of inertia than object B. Which object requires a larger torque to achieve the same angular acceleration?

Accepted Answer

Object A

Answer

Both require the same torque

Answer

Object B

Answer

It depends on the angular velocity

Question 53

A solid cylinder rolls without slipping down an incline. What fraction of its total kinetic energy is rotational kinetic energy?

Accepted Answer

1/3

Answer

2/3

Answer

1/2

Question 54

Which of the following is NOT a factor that affects the moment of inertia of an object?

Accepted Answer

Angular velocity

Answer

Mass

Answer

Distribution of mass

Answer

Shape

Question 55

A spinning top eventually falls over due to the effect of:

Accepted Answer

Torque due to gravity

Answer

Absence of external forces

Answer

Constant angular velocity

Answer

Conservation of angular momentum

Question 56

Two points on a rotating disk have different tangential velocities. Which of the following statements is true?

Accepted Answer

The points have the same angular velocity.

Answer

The point farther from the center has a smaller angular velocity.

Answer

The points have the same tangential acceleration.

Answer

The point closer to the center has a larger tangential acceleration.