Question

The total angular momentum of a rigid body can be written as

• A. $I\times \omega$ ; where I: moment of inertia of body, : angular velocity
• B. $I^2\times \omega$; where I: moment of inertia of body, : angular velocity
• C. $I^2\times {\omega }^2$; where I: moment of inertia of body, : angular velocity
• D. $I\times {\omega }^2$ ; where I: moment of inertia of body, : angular velocity

Answer 1

The correct option is A $I\times \omega$ ; where I: moment of inertia of body, : angular velocity

Angular momentum is the rotational equivalent to linear momentum. Angular momentum of a rigid body is defined as the product of object's moment of inertia ($I$) and its angular velocity ($\omega$).
Hence, $L=I\omega$