Angular motion

Angular Motion

• $\mathrm{\Delta \theta }=\frac{\mathrm{\Delta s}}{r}$
• $\bar{\omega }=\frac{\mathrm{\Delta \theta }}{\mathrm{\Delta t}}$
• $\bar{\alpha }=\frac{\mathrm{\Delta \omega }}{\mathrm{\Delta t}}$
• ${\omega }_f={\omega }_i+\alpha t$
• ${\omega }_f^2={\omega }_i^2+2\alpha \mathrm{\Delta \theta }$
• $\mathrm{\Delta \theta }={\omega }_{i}t+\frac{\alpha t^2}{2}$
• $v=r\omega$
• ${\alpha }_t=r\alpha$
• ${\alpha }_c=r{\omega }^2$
• $\tau =rF\sin \left(\theta \right)$
• $\tau =I\alpha$