Total angular momentum of a sphere that had both a linear v and an angular v?

[therest]

Homework Statement

Find net angular momentum for a soccer ball (moment of inertia=2/3mr^2) that's going 3.6 m/s to the right and 28.5 radians per second clockwise at the same time.
R=0.142 m
m=0.678 kg

Homework Equations

L=(perpendicular component of r)mv
L=Iw

The Attempt at a Solution

L=rmvsinθ, but L also equals I*angular velocity, a rotational analog... What if both a rotational and translational velocity exist? do I add them based on these 2 equations, or what? What about the right-hand rule?

 

[vela]

Remember that angular momentum is a vector. You need to vector add the two contributions from the rotational and translational motion of the ball. To do this, you need to know the direction of these contributions, which you determine using the various right-hand rules.