Kinetic Energy - Conceptual Example 8.3-2

 

A body may possess kinetic energy due to its rotational motion. Using the kinetic energy for a particle as a reference, guess how the rigid-body kinetic energy due to rotation is calculated.

 

Kinetic energy for a particle: T = (1/2)mv²

 

What is the rotational analogue for linear velocity?

 

angular acceleration
angular velocity
angular position

 

 

 

What is the rotational analogue for mass?

 

weight
mass moment of inertia
angular acceleration

 

 

 

What is the rigid-body rotational analogue for the particle kinetic energy equation?

 

T = (1/2)Iθ²
T = (1/2)mω²
T = (1/2)Iω²