# What formula connects the moment of inertia and angular velocity? [duplicate]

I need to determine angular velocity of a disc when a man with given mass and speed whacks on the edge of it.

I calculated the total moment of inertia of disc and body, how do I calculate the angular velocity of the disc? ( radius and mass of the disc are also given ).

## marked as duplicate by ja72, ACuriousMind♦, Jim, BMS, Kyle KanosAug 29 '14 at 16:09

• Is this homework? Please tag accordingly. And follow the rules for homework. Did you try Google? It is very handy. Ell equals eye omega sound familiar? – Floris Aug 29 '14 at 11:58

L(angular momentum) = (moment of Inertia) x (angular velocity)

• Try to use math formatting. See physics.stackexchange.com/help/notation – ja72 Aug 29 '14 at 14:49
• -1 because although you answered the question, you did not provide additional information that might help the OP in the future. Like the fact that angular momentum above is only valid on the center of mass. Otherwise you have to consider the parrallel axis theorem and the cross terms $\vec{r} \times m \vec{v}$ from the motion of the center of mass. – ja72 Aug 29 '14 at 14:59