Angular Momentum
Angular momentum, abbreviated as L, also called rotational momentum or moment of momentum, is how much an object is rotating around a fixed point. The angular momentun of a body is equal to the mass of the body multiplied by the cross product of the position vector of the particle with its vertical velocity.
Angular Momentum formulas
\(\large{ L = m \; v \; r }\) |
\(\large{ L = I \; \omega }\) |
\(\large{ L = r \; p }\) |
Where:
Units | English | Metric |
\(\large{ L }\) = angular momentum (rotational momentum) | \(\large{\frac{lbm-ft^2}{sec}}\) | \(\large{\frac{kg-m^2}{s}}\) |
\(\large{ \omega }\) (Greek symbol omega) = angular velocity | \(\large{\frac{deg}{sec}}\) | \(\large{\frac{rad}{s}}\) |
\(\large{ I }\) = moment of inertia | \(\large{in^4}\) | \(\large{m^4}\) |
\(\large{ p }\) = momentum | \(\large{\frac{lbm-ft}{sec}}\) | \(\large{\frac{kg-m}{s}}\) |
\(\large{ m }\) = mass | \(\large{lbm}\) | \(\large{kg}\) |
\(\large{ r }\) = radius | \(\large{ft}\) | \(\large{m}\) |
\(\large{ v }\) = velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |
Tags: Equations for Momentum