## Angular Motion

• $\mathrm{\Delta \theta }=\frac{\mathrm{\Delta s}}{r}$
• $\stackrel{‾}{\omega }=\frac{\mathrm{\Delta \theta }}{\mathrm{\Delta t}}$
• $\stackrel{‾}{\alpha }=\frac{\mathrm{\Delta \omega }}{\mathrm{\Delta t}}$
• ${\omega }_{f}={\omega }_{i}+\alpha t$
• ${\omega }_{f}^{2}={\omega }_{i}^{2}+2\alpha \mathrm{\Delta \theta }$
• $\mathrm{\Delta \theta }={\omega }_{i}t+\frac{\alpha {t}^{2}}{2}$
• $v=r\omega$
• ${\alpha }_{t}=r\alpha$
• ${\alpha }_{c}=r{\omega }^{2}$
• $\tau =rF\mathrm{sin}\left(\theta \right)$
• $\tau =I\alpha$