Angular Momentum
Test your understanding of Angular Momentum with these challenging questions.
Questions
What is the SI unit of angular momentum?
- kg m^2/s
- J s
- N m
- rad/s
Which of the following is a conserved quantity in the absence of external torque?
- Linear momentum
- Angular momentum
- Energy
- Velocity
The angular momentum of a particle is given by the equation (L = I\omega), where (I) is the moment of inertia and (\omega) is the angular velocity. What is the moment of inertia of a point mass (m) rotating in a circular path of radius (r)?
- \(mr^2\)
- \(m\)
- \(\frac{m}{r^2}\)
- \(\frac{1}{mr^2}\)
A spinning top has an angular momentum of (10\ kg m^2/s). If its angular velocity is doubled, what is its new angular momentum?
- \(5\ kg m^2/s\)
- \(10\ kg m^2/s\)
- \(20\ kg m^2/s\)
- \(40\ kg m^2/s\)
Which of the following is NOT a method for changing the angular momentum of an object?
- Applying a torque
- Changing the moment of inertia
- Changing the angular velocity
- Changing the mass of the object
A figure skater spins with an angular velocity of (10\ rad/s) and a moment of inertia of (100\ kg m^2). What is her angular momentum?
- \(1000\ kg m^2/s\)
- \(100\ kg m^2/s\)
- \(10\ kg m^2/s\)
- \(1\ kg m^2/s\)
A flywheel has a moment of inertia of (20\ kg m^2) and is rotating at (100\ rad/s). What is the kinetic energy of the flywheel?
- \(1000\ J\)
- \(2000\ J\)
- \(4000\ J\)
- \(8000\ J\)
A gyroscope is a device that uses the principle of angular momentum to maintain its orientation. What is the main advantage of using a gyroscope in navigation systems?
- It is not affected by magnetic fields
- It is very accurate
- It is easy to use
- It is inexpensive
Which of the following is an example of angular momentum in everyday life?
- A spinning top
- A ceiling fan
- A washing machine
- A pendulum
The angular momentum of a system can be changed by applying a torque. What is the relationship between torque and angular momentum?
- \(\tau = \frac{dL}{dt}\)
- \(\tau = I\omega\)
- \(\tau = L\omega\)
- \(\tau = \frac{I}{\omega}\)
A particle moves in a circular path of radius (r) with a constant speed (v). What is the angular momentum of the particle?
- \(mvr\)
- \(\frac{1}{2}mvr\)
- \(2mvr\)
- \(4mvr\)
A rigid body is rotating about a fixed axis with an angular velocity (\omega). If the moment of inertia of the body is doubled, what happens to its angular momentum?
- It is halved
- It remains the same
- It is doubled
- It is quadrupled
Which of the following is a unit of angular momentum?
- N m
- J s
- kg m^2/s
- rad/s
A planet orbits the Sun in an elliptical path. At which point in its orbit does the planet have the greatest angular momentum?
- Perihelion
- Aphelion
- Closest point to the Sun
- Farthest point from the Sun
A spinning top is slowing down due to friction. What happens to its angular momentum?
- It increases
- It remains the same
- It decreases
- It becomes zero