Master Rotational Motion: Enhance Your Physics Skills

Question 1

When the torque applied to a rotating object increases, what happens to its angular acceleration?

Accepted Answer

Increases

Answer

Decreases

Answer

Stays the same

Answer

Becomes zero

Question 2

How do an object's radius and mass distribution impact its rolling motion? Discuss their effects on moment of inertia and angular acceleration.

Accepted Answer

Smaller radius and concentrated mass near the center lead to lower moment of inertia and higher angular acceleration.

Accepted Answer

Larger radius and dispersed mass result in higher moment of inertia and lower angular acceleration.

Answer

Rolling motion is unaffected by radius and mass distribution.

Answer

Smaller radius and dispersed mass yield higher moment of inertia and lower angular acceleration.

Question 3

Which of the following factors does NOT affect the moment of inertia of an object?

Accepted Answer

Density

Answer

Mass

Answer

Shape

Answer

Axis of rotation

Question 4

What physical quantity is conserved in a system undergoing rotational motion about a fixed axis?

Accepted Answer

Angular momentum

Answer

Linear momentum

Answer

Energy

Answer

Neither angular momentum nor linear momentum

Question 5

The SI unit of angular velocity is:

Accepted Answer

Radians per second (rad/s)

Answer

Revolutions per minute (rpm)

Answer

Degrees per second (deg/s)

Answer

Meters per second (m/s)

Question 6

Gyroscopes utilize the principle of:

Accepted Answer

Conservation of angular momentum

Answer

Conservation of linear momentum

Answer

Conservation of energy

Answer

Newton's laws of motion

Question 7

Angular momentum of a system remains constant if:

Accepted Answer

No external torque acts on the system

Answer

The system is isolated

Answer

The system is in equilibrium

Answer

The speed of the system is constant

Question 8

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

Accepted Answer

Radian per second

Answer

Meter per second

Answer

Revolutions per second

Answer

Hertz

Question 9

The torque acting on a rigid body is given by:

Accepted Answer

Force × perpendicular distance from the axis of rotation

Answer

Mass × acceleration

Answer

Angular velocity × moment of inertia

Answer

Force × distance

Question 10

Which of the following is a condition for rolling without slipping?

Accepted Answer

Linear velocity = angular velocity × radius

Answer

Linear acceleration = angular acceleration × radius

Answer

Angular acceleration = linear acceleration/radius

Answer

Angular velocity = linear velocity/radius

Question 11

The angular momentum of a system remains constant if:

Accepted Answer

No external torque acts on the system

Answer

The system is at rest

Answer

The angular velocity is constant

Answer

The moment of inertia is constant

Question 12

Which of the following is not a type of rotational motion?

Accepted Answer

Simple harmonic motion

Answer

Uniform circular motion

Answer

Precession

Answer

Nutation

Question 13

The equation of motion for rotational motion is:

Accepted Answer

τ = Iα

Answer

F = ma

Answer

v = u + at

Answer

s = ut + ½at²

Question 14

The kinetic energy of a rotating body is given by:

Accepted Answer

½Iω²

Answer

½mv²

Answer

Iω

Answer

½mω²

Question 15

What is the relationship between torque and angular acceleration?

Accepted Answer

Directly proportional

Answer

Inversely proportional

Answer

No relationship

Answer

Proportionality constant

Question 16

A particle moves in a circle with a constant speed v. Determine the magnitude of the particle's centripetal acceleration.

Accepted Answer

v²/r

Answer

r/v

Answer

vr

Answer

v/r

Question 17

Which of the following statements about torque is accurate?

Accepted Answer

It can cause a change in the rotational motion of an object.

Answer

It is a measure of the rotational speed of an object.

Answer

It is always parallel to the axis of rotation.

Question 18

A child on a merry-go-round moves in a circular path at a constant speed. What is the direction of the child's acceleration?

Accepted Answer

Towards the center of the circle

Answer

Zero

Answer

Tangential to the circle

Answer

Away from the center of the circle

Question 19

Which of the following units is used to quantify angular velocity?

Accepted Answer

Radians per second

Answer

Revolutions per minute

Answer

Degrees per hour

Answer

Meters per second

Question 20

The relationship between angular momentum and torque is given by the equation τ = dL / dt. What does this equation signify?

Accepted Answer

Torque is the rate of change of angular momentum.

Answer

Torque is the integral of angular momentum over time.

Answer

Angular momentum is the product of torque and time.

Answer

Angular momentum is the derivative of torque with respect to time.

Question 21

A figure skater initially spins with their arms outstretched. To increase their angular velocity, they pull their arms inward, effectively decreasing their moment of inertia. What is the effect of this action on their angular acceleration?

Accepted Answer

Increases

Answer

Remains the same

Answer

Becomes negative

Answer

Decreases

Question 22

The torque acting on a rotating object is defined as:

Accepted Answer

Rate of change of angular momentum

Answer

Moment of inertia times angular acceleration

Answer

Rate of change of angular velocity

Answer

Angular velocity times moment of inertia

Question 23

For a wheel rolling without slipping on a horizontal surface, the linear velocity (v) and angular velocity (ω) are related by the equation:

Accepted Answer

v = ωr

Answer

v = ω/r

Answer

ω = v/r

Question 24

The kinetic energy of a rotating body is given by:

Accepted Answer

(1/2)Iω²

Answer

2Iω

Answer

Iω

Answer

ω²/2I

Question 25

Which of the following is the standard unit of torque?

Accepted Answer

Newton-meter (Nm)

Answer

Radian per second (rad/s)

Answer

Kilogram-meter squared (kg⋅m²)

Answer

Joule (J)

Question 26

The angular displacement of a rotating body refers to:

Accepted Answer

Change in angular position

Answer

Product of angular velocity and time

Answer

Rate of change of angular velocity

Answer

Ratio of angular velocity to time