Question

In: Physics

A solid disk has a total kinetic energy K. What is its rotational kinetic energy Krot...

A solid disk has a total kinetic energy K. What is its rotational kinetic energy Krot if it's rolling without slipping?

Expert Solution

Mass of the solid disk = M

Radius of the solid disk = R

Moment of inertia of the solid disk = I

Speed of the center of mass of the solid disk = V

Angular speed of the solid disk = = V/R

Total kinetic energy of the solid disk = K

Translational kinetic energy of the solid disk = K_T

Rotational kinetic energy of the solid disk = K_R

Total kinetic energy of the solid disk is the sum of the translational kinetic energy and the rotational kinetic energy.

Rotational kinetic energy of the solid disk if it is rolling without slipping = K/3

genius_generous answered 1 day ago

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