The angular momentum of one particle within our rigidly rotating object, L=mv⊥r, can be rewritten as L=rpsinθ, where r and p are the magnitudes of the particle's \(\m...The angular momentum of one particle within our rigidly rotating object, L=mv⊥r, can be rewritten as L=rpsinθ, where r and p are the magnitudes of the particle's r and momentum vectors, and θ is the angle between these two vectors. (The r vector points outward perpendicularly from the axis to the particle's position in space.) In rigid-body rotation the angle θ is 90°, so we have simply L=rp.