Angular Kinematics: Master Motion Around a Fixed Axis

Question 1

Which unit, in the International System of Units (SI), is used to measure angular displacement?

Accepted Answer

Radian

Answer

Degree

Answer

Meter

Answer

Second

Question 2

An object is rotating at a constant angular velocity. What is its angular acceleration?

Accepted Answer

Zero

Answer

Constant

Answer

Increasing

Answer

Decreasing

Question 3

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

Accepted Answer

Angular velocity

Answer

Mass

Answer

Distribution of mass

Answer

Shape

Question 4

Which of the following is NOT a component of angular momentum?

Accepted Answer

Linear momentum

Answer

Moment of inertia

Answer

Angular velocity

Answer

Rotational kinetic energy

Question 5

Which international unit (SI unit) is used to measure angular displacement?

Accepted Answer

Radian

Answer

Degree

Answer

Metre

Answer

Second

Question 6

What is the formula to calculate angular velocity?

Accepted Answer

ω = dθ/dt

Answer

ω = rω

Answer

ω = v/r

Answer

ω = 2πf

Question 7

Which formula represents angular acceleration?

Accepted Answer

α = dω/dt

Answer

α = rα

Answer

α = v/r

Answer

α = 2πf

Question 8

In angular kinematics, which unit is used to measure angular displacement?

Accepted Answer

Radians

Answer

Degrees

Answer

Seconds

Answer

Metres

Question 9

Which mathematical expression is used to calculate angular acceleration?

Accepted Answer

α = ω / t

Answer

α = r / ω²

Answer

α = v / r

Answer

α = ωt

Question 10

What is the relationship between linear velocity and angular velocity for an object traveling in a circular path?

Accepted Answer

v = ωr

Answer

ω = r / v

Answer

v = ω²r

Answer

ω = v²r

Question 11

Which factor does NOT influence the angular acceleration of an object?

Accepted Answer

Coefficient of friction

Answer

Mass of the object

Answer

Radius of rotation

Answer

Applied torque

Question 12

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

Accepted Answer

Temperature of the object

Answer

Mass of the object

Answer

Distribution of mass around the axis of rotation

Answer

Shape of the object

Question 13

An object moves with uniform angular velocity. Which of the following graphs accurately depicts the relationship between its angular displacement (θ) and time (t)?

Accepted Answer

A straight line with a positive gradient

Answer

A straight line with a negative gradient

Answer

A parabola

Answer

A circle

Question 14

A wheel rotates at a constant angular acceleration. If its initial angular velocity is zero, which of the following equations correctly describes its angular velocity (ω) at time (t)?

Accepted Answer

ω = αt

Answer

ω = α/t

Answer

ω = αt + ω₀

Answer

ω = ½αt²

Question 15

A ball is thrown with an initial angular velocity of 10 rad/s. If the ball's angular acceleration is -2 rad/s², what will be its angular velocity after 3 seconds?

Accepted Answer

4 rad/s

Answer

8 rad/s

Answer

6 rad/s

Answer

10 rad/s

Question 16

A rigid body undergoes rotation about a fixed axis. Which physical quantity is conserved throughout this process?

Accepted Answer

Angular momentum

Answer

Linear momentum

Answer

Energy

Question 17

A bicycle wheel rotates through an angle of 240 degrees in 5 seconds. What is the angular velocity of the wheel in radians per second?

Accepted Answer

4.19 radians/second

Answer

6.6 radians/second

Answer

12 radians/second

Answer

0.42 radians/second

Question 18

A fan blade rotates with a constant angular acceleration of 20 rad/s². If it starts from rest, what is its angular velocity after 5 seconds?

Accepted Answer

100 rad/s

Answer

200 rad/s

Answer

50 rad/s

Question 19

A race car travels around a circular track with a radius of 200 meters at a constant speed of 60 m/s. What is its angular speed?

Accepted Answer

0.3 rad/s

Answer

1.2 rad/s

Answer

0.6 rad/s

Answer

0.15 rad/s

Question 20

A pendulum swings with a period of 2 seconds. What is its angular frequency?

Accepted Answer

π rad/s

Answer

4π rad/s

Answer

2π rad/s

Answer

0.5π rad/s

Question 21

A flywheel rotates with an angular velocity of 100 rad/s. If it comes to a stop in 10 seconds, what is its angular acceleration?

Accepted Answer

-10 rad/s²

Answer

10 rad/s²

Answer

-5 rad/s²

Answer

5 rad/s²

Question 22

A rotating object has a radius of 0.5 meters and an angular acceleration of 2 rad/s². What is its tangential acceleration?

Accepted Answer

1 m/s²

Answer

0.5 m/s²

Answer

4 m/s²

Answer

2 m/s²

Question 23

A ball rolls down a hill with a constant angular velocity of 10 rad/s. If its radius is 0.2 meters, what is its linear velocity?

Accepted Answer

2 m/s

Answer

4 m/s

Answer

0.5 m/s

Answer

1 m/s