Angular Motion in Sports Science: Master the Basics

Question 1

What is the SI unit of angular velocity?

Accepted Answer

Radians per second

Answer

Degrees per second

Answer

Revolutions per second

Answer

Hertz

Question 2

An object with a large moment of inertia will have:

Accepted Answer

Lower angular acceleration

Answer

Higher angular acceleration

Answer

No effect on angular acceleration

Answer

Cannot be determined

Question 3

What is the formula for angular acceleration?

Accepted Answer

α = Δω / Δt

Answer

α = ω / t

Answer

α = t / Δω

Answer

α = Δt / ω

Question 4

What is the formula for rotational kinetic energy?

Accepted Answer

KE = 1/2 Iω²

Answer

KE = Iω²

Answer

KE = 1/2 ω²

Answer

KE = Iω

Question 5

Which of the following is a unit vector in the direction of the angular velocity?

Accepted Answer

ω

Answer

ω²

Answer

α

Answer

a

Question 6

The SI unit of angular displacement is the:

Accepted Answer

radian

Answer

meter

Answer

degree

Answer

second

Question 7

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

Accepted Answer

mass distribution and the axis of rotation

Answer

velocity of rotation

Answer

mass only

Answer

axis of rotation only

Question 8

Which of the following is a factor affecting angular acceleration?

Accepted Answer

applied torque

Answer

radius of rotation only

Answer

shape of the object

Answer

mass only

Question 9

A diver performing a somersault experiences:

Accepted Answer

change in both angular velocity and angular displacement

Answer

change in angular velocity only

Answer

change in angular acceleration only

Question 10

The angular velocity of a rotating body is defined as:

Accepted Answer

the rate of change of angular displacement over time

Answer

the product of angular displacement and time

Answer

the quotient of angular displacement and time

Answer

the sum of angular displacement and time

Question 11

Which of the following can alter the moment of inertia of a rigid body?

Accepted Answer

changing the mass distribution or the axis of rotation

Answer

changing the temperature

Answer

increasing the angular velocity

Answer

applying a constant force

Question 12

The angular acceleration of a rotating body is defined as:

Accepted Answer

the rate of change of angular velocity over time

Answer

the quotient of angular velocity and time

Answer

the product of angular velocity and time

Answer

the sum of angular velocity and time

Question 13

A dancer performing a pirouette experiences:

Accepted Answer

conservation of angular momentum

Answer

conservation of linear momentum

Answer

decrease in moment of inertia

Answer

conservation of energy

Question 14

The SI unit of angular velocity is:

Accepted Answer

Radians per second

Answer

Meters per second

Answer

Revolutions per minute

Answer

Degrees per second

Question 15

The moment of inertia of a body about an axis depends on:

Accepted Answer

Mass, shape, and distance from the axis

Answer

Shape and distance from the axis only

Answer

Mass only

Answer

Mass and shape only

Question 16

Which of the following equations relates angular velocity and angular displacement?

Accepted Answer

ω = Δθ / Δt

Answer

ω = Δθ / 2πt

Answer

ω = θ / t

Question 17

The tangential acceleration of an object rotating at a constant angular velocity is:

Accepted Answer

Zero

Answer

Proportional to the square of the angular velocity

Answer

Equal to the angular acceleration

Question 18

Which of the following is the formula for angular momentum?

Accepted Answer

L = Iω

Answer

L = mα

Answer

L = Iα

Answer

L = mω

Question 19

In a collision involving angular momentum, the total angular momentum of the system:

Accepted Answer

Is conserved

Answer

Increases with time

Answer

Is always zero

Answer

Decreases with time

Question 20

During a backflip, a gymnast rotates 360 degrees in 0.5 seconds. What is the gymnast's angular velocity?

Accepted Answer

720 degrees per second

Answer

180 degrees per second

Answer

90 degrees per second

Answer

360 degrees per second

Question 21

What is the unit of angular acceleration?

Accepted Answer

Radians per second squared

Answer

Revolutions per minute

Answer

Hertz

Answer

Degrees per second

Question 22

Which of the following is distinct from angular motion?

Accepted Answer

Linear motion

Answer

Circular motion

Answer

Rotational motion

Answer

Oscillatory motion

Question 23

A diver has a moment of inertia of 5 kg⋅m² and rotates at 10 radians per second. What is their rotational kinetic energy?

Accepted Answer

250 joules

Answer

100 joules

Answer

125 joules

Answer

500 joules

Question 24

In the context of angular motion, which of the following provides a centripetal force?

Accepted Answer

A skater's blade pushing against the ice during a turn

Answer

A swimmer's arm pushing against the water during a stroke

Answer

A bat striking a ball

Question 25

Which graph accurately depicts the relationship between angular displacement and time for an object rotating with constant angular velocity?

Accepted Answer

A straight line with a positive slope

Answer

A circle

Answer

A straight line with a negative slope

Answer

A parabola

Question 26

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

Accepted Answer

Radians per second

Answer

Revolutions per minute

Answer

Kilometers per second

Answer

Degrees per hour

Question 27

Convert the angular displacement of 45 degrees to radians.

Accepted Answer

π/4

Answer

π/3

Answer

π/8

Answer

π/2

Question 28

A spinning bicycle wheel has an angular displacement of 120 degrees in 2 seconds. Calculate the average angular velocity of the wheel.

Accepted Answer

60 degrees per second

Answer

120 degrees per second

Answer

30 degrees per second

Answer

90 degrees per second

Question 29

A skater has a moment of inertia of 0.5 kg-m^2. When spinning, their angular velocity is 8 radians per second. Determine the skater's rotational kinetic energy.

Accepted Answer

16 J

Answer

4 J

Answer

32 J

Answer

8 J

Question 30

Which equation correctly defines angular acceleration?

Accepted Answer

α = (ωf - ωi) / t

Answer

ωf = ωi + αt

Answer

α = (ωi^2 - ωf^2) / t

Answer

α = ωf / t

Question 31

A gymnast starts a somersault with an initial angular velocity of 1 radian per second. After 0.5 seconds, their angular velocity is 3 radians per second. Calculate the gymnast's angular acceleration.

Accepted Answer

4 radians per second squared

Answer

5 radians per second squared

Answer

2 radians per second squared

Question 32

Identify an example of centripetal force in sports.

Accepted Answer

The force that keeps a cyclist moving in a circular track

Answer

The force that causes a soccer ball to fall

Answer

The force that propels a cricket ball

Question 33

An athlete spins through an angle of 360° on the high bar. What is the angular displacement of this movement in radians?

Accepted Answer

2π

Answer

1/2π

Answer

π

Answer

4π

Question 34

Which of the following is the definition of angular speed?

Accepted Answer

The rate of change of angular displacement over time

Answer

The force applied to an object rotating about an axis

Answer

The moment of inertia of an object

Answer

The distance traveled by an object in a circular path

Question 35

What factors influence the moment of inertia of an object?

Accepted Answer

Mass distribution and distance from the axis of rotation

Answer

Shape of the object only

Answer

Mass of the object only

Question 36

What is the SI unit of moment of inertia?

Accepted Answer

Kilogram-meter squared (kg·m²)

Answer

Newton-meter (N·m)

Answer

Joule (J)

Answer

Radian (rad)

Question 37

Angular acceleration of a rotating object is directly proportional to what?

Accepted Answer

Net torque

Answer

Moment of inertia

Answer

Radius of rotation

Answer

Angular velocity

Question 38

How would you best describe the angular motion of a gymnast performing a somersault?

Accepted Answer

Rotation about a fixed axis

Answer

Curvilinear motion in a curved path

Answer

Linear motion in a straight line

Question 39

A sprinter's leg swings through an angle of 120 degrees during the swing phase. What is the angular displacement of the leg?

Accepted Answer

120 degrees

Answer

60 degrees

Answer

It depends on the speed of the movement

Answer

360 degrees

Question 40

A dancer completes 3 full rotations in 2 seconds. What is her average angular velocity?

Accepted Answer

4.5π radians/second

Answer

3 radians/second

Answer

180 degrees/second

Answer

6π radians/second

Question 41

What is the best example of angular acceleration when a baseball pitcher throws a curveball?

Accepted Answer

The change in the angular velocity of the pitcher's arm as they throw the ball

Answer

The linear velocity of the baseball

Answer

The gravitational force acting on the baseball

Question 42

Two athletes, one with a higher moment of inertia and one with a lower moment of inertia, attempt a 360-degree spin. Who will likely spin faster?

Accepted Answer

The athlete with the lower moment of inertia

Answer

The athlete with the higher moment of inertia

Answer

It depends on the applied torque

Answer

Both athletes will spin at the same speed

Question 43

A long jumper extends their arms and legs during the jump, increasing their moment of inertia. What is the primary effect of this action?

Accepted Answer

Decreases angular velocity

Answer

Has no effect on angular velocity

Answer

Increases linear velocity

Answer

Increases angular velocity

Question 44

A figure skater spins faster when they pull their arms closer to their body. Which principle does this demonstrate?

Accepted Answer

Conservation of angular momentum

Answer

Newton's Third Law of Motion

Answer

Newton's Second Law of Motion

Answer

Newton's First Law of Motion

Question 45

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

Accepted Answer

The object's color

Answer

The distribution of the object's mass

Answer

The object's shape

Answer

The object's mass

Question 46

A tennis player applies a force to their racket to hit a ball. The force is applied at a distance from the axis of rotation. This is an example of which concept?

Accepted Answer

Torque

Answer

Moment of inertia

Answer

Angular velocity

Answer

Angular acceleration

Question 47

A diver performs a somersault with a high degree of angular velocity. Which of the following would likely contribute to this?

Accepted Answer

Minimizing their moment of inertia by tucking their body

Answer

Increasing their moment of inertia by extending their body

Answer

Applying a large force for a short duration