Orbital angular momentum is represented by the formula J = mvr, which applies in a classical context. In contrast, spin angular momentum cannot be expressed using classical formulas, as it is not a derivable quantity like orbital angular momentum. For rigid bodies, such as Earth, spin angular momentum can be calculated using L = Iw, where I is the moment of inertia and w is the angular velocity. Quantum mechanically, angular momentum and spin are defined differently and do not adhere to classical expressions. Understanding these distinctions is crucial for accurately discussing angular momentum in both classical and quantum physics contexts.
