What is the analogue of mass in rotational motion?
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Define the angular impulse and angular momentum.
Define the angular impulse − angular momentum relationship.
Define the principle of conservation of angular momentum.
Solve angular impulse − angular momentum problems.
Angular Momentum
In Lesson 8, linear momentum (p) was defined as the objects mass (m) times its velocity (v) using the following equation:

Angular momentum (L), is the quantity of rotation a body possesses. Angular momentum can be defined as the product of the objects moment of inertia (I) times its angular velocity (ω). Angular momentum is calculated as follows:

Where (L) is the angular momentum in units (kg∙m2/s), (I) is the moment of inertia in kg∙m2, and (ω) is the angular velocity in r/s. Angular momentum is a vector that is defined by the right hand rule. The direction of the angular momentum vector is the same as the direction of the angular velocity vector (CCW is positive, CW is negative). The units for linear momentum are kg·m2/s. The figure below gives an example of computing angular momentum. The gymnast in the figure below has an angular velocity or –4.2 r/s and a moment of inertia of kg∙m2. The resulting angular momentum is negative (clockwise) and has a magnitude of –21 kg∙m2/s.
Define the angular impulse − angular momentum relationship.
Define the principle of conservation of angular momentum.
Solve angular impulse − angular momentum problems.
Angular Momentum
In Lesson 8, linear momentum (p) was defined as the objects mass (m) times its velocity (v) using the following equation:

Angular momentum (L), is the quantity of rotation a body possesses. Angular momentum can be defined as the product of the objects moment of inertia (I) times its angular velocity (ω). Angular momentum is calculated as follows:

Where (L) is the angular momentum in units (kg∙m2/s), (I) is the moment of inertia in kg∙m2, and (ω) is the angular velocity in r/s. Angular momentum is a vector that is defined by the right hand rule. The direction of the angular momentum vector is the same as the direction of the angular velocity vector (CCW is positive, CW is negative). The units for linear momentum are kg·m2/s. The figure below gives an example of computing angular momentum. The gymnast in the figure below has an angular velocity or –4.2 r/s and a moment of inertia of kg∙m2. The resulting angular momentum is negative (clockwise) and has a magnitude of –21 kg∙m2/s.
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Moment of Inertia
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