Rotaional kinetic energy? how find

[gl7]

1. got a simple questino but hope some can help me. i now that to solve rotational kinetic energy it is one half times moment of inertia times angular velocity squared
so when doing that must i convert angullar velocity to rad/s



thanks for helpo

Homework Equations

The Attempt at a Solution

 

[Armidylano44]

Not really sure what you're asking here.

Moment of Inertia is in units of (kg m²)
Angular velocity is in units of (rad/s)

When you square angular velocity you do (rad/s)².
1 rad² = 1 (no units)

So, angular velocity squared has units of (1/s²)

(kg m²) x (1/s²) = (kg m²/s²) = Joule (which is the SI unit for energy)



Hope this helps.

 

[gl7]

ya helped some thanks, i think i got it figured out now