## Essential University Physics: Volume 1 (3rd Edition)

(a) We know that $L=rmv$ $\implies [L]=[m][Kg][\frac{m}{s}]$ $[L]=kg.\frac{m^2}{s}$ (b) $L=\tau dt$ $L=rFdt$ $[L]=[m][N][s]$ (c) We know that $K=(\frac{1}{2})I\omega^2=(\frac{1}{2})I(\frac{L}{I})^2$ This simplifies to: $L=\sqrt{2KI}$ $[L]=\sqrt{[J]}\sqrt{kg.m^2}=kgm^2/s$