6.3 Angular Momentum

• What does angular momentum measure in rotational systems?

  Rotational inertia and velocity
• Angular momentum is the product of rotational inertia and rotational velocity
• Angular momentum is conserved in closed systems with no external torques.

  True
• Match the concept with its formula:

  Rotational Inertia ↔️ \(I = \sum m_i r_i^2\)

  Rotational Velocity ↔️ \(\omega\)

  Angular Momentum ↔️ \(L = I\omega\)
• Angular momentum is calculated as the product of rotational inertia and rotational velocity
• Angular momentum is calculated as the product of rotational inertia and rotational velocity
• Angular momentum is conserved in systems with no external torques.


  True
• Match the case with its formula for angular momentum:

  Point Mass ↔️ $L =$$mr^{2}\omega$

  Rigid Body ↔️ $L =$$I\omega$
• Rotational velocity is measured in rad/s
• Rotational inertia depends on the mass distribution around the axis of rotation.


  True
• Match the concept with its symbol and units:

  Rotational Inertia ↔️ I, kg·m²

  Rotational Velocity ↔️ \(\omega\), rad/s
• The formula for rotational inertia is \(I = \sum m_i r_i^2\).


  True
• Angular momentum is the product of rotational inertia and rotational velocity
• Angular momentum is conserved in closed systems with no external torques.


  True
• The key difference between point mass and rigid body angular momentum is the calculation of rotational inertia
• The angular momentum formula for a rigid body is \(L = I\omega\).

  True
• What is the formula for rotational inertia in terms of mass and distance from the axis?

  $I =$$\sum m_{i} r_{i}^{2}$
• Rotational inertia is measured in units of kg·m²
• What is the unit of rotational inertia?

  kg \cdot m^2
• What is the formula for rotational inertia?

  $I =$$\sum m_{i} r_{i}^{2}$
• Rotational velocity is defined as the rate of change of angular displacement
• In a closed system with no external torques, angular momentum is conserved.


  True
• A figure skater spinning faster by pulling their arms in demonstrates the conservation of angular momentum
• What is the formula for rotational inertia?

  $I =$$\sum m_{i} r_{i}^{2}$
• Angular momentum is conserved in systems with no external forces.

  False
• Match the concept with its formula:

  Rotational Inertia ↔️ \(I = \sum m_i r_i^2\)

  Rotational Velocity ↔️ \(\omega\)

  Angular Momentum ↔️ \(L = I\omega\)
• What is the formula for rotational inertia?

  I = \sum m_i r_i^2</latex>
• What is the angular momentum formula for a point mass?

  $L =$$mr^{2}\omega$
• For a point mass, rotational inertia is calculated as mr^2
• For a rigid body, rotational inertia depends on its shape and mass distribution.


  True
• What is rotational inertia a measure of?

  Resistance to rotational motion
• What is the formula for angular momentum using rotational inertia and rotational velocity?

  $L =$$I\omega$
• Match the concept with its formula:

  Rotational Inertia ↔️ \(I = \sum m_i r_i^2\)

  Rotational Velocity ↔️ \(\omega\)

  Angular Momentum ↔️ \(L = I\omega\)
• What is the angular momentum formula for a point mass?

  $L =$$mr^{2}\omega$
• Rotational velocity is defined as \(\omega = \frac{d\theta}{dt}\).


  True
• Rotational inertia is the resistance an object has to changes in its rotational motion
• Rotational velocity is measured in radians per second.


  True
• What is the condition for the conservation of angular momentum?

  No external torques
• In a closed system, total angular momentum remains constant.


  True
• What happens to rotational velocity if rotational inertia decreases in a closed system?

  Increases