# Rotational Motion Formulas

Anybody moves along the circular path is termed as in rotational motion.It moves in the circular path with velocity and acceleration is quite different from the linear motion. Here come the angular motion, inertia and other concepts.

**The basic formulas in rotational motion are:**

If $\omega$ is the angular velocity. The angular velocity is,

$\bar{\omega}$ = $\frac{\Delta \theta}{\Delta t}$.

Angular acceleration is,

$\bar{\alpha}$ = $\frac{\Delta \omega}{\Delta t}$.

Velocity of rotational motion is,

v = r $\omega$.

There are a lot more equations in rotational motion. Some of them are,

$\omega(t)$ = $\omega_o(t)$ + $\alpha$ t

$\theta$ = $\theta_o$ + $\omega_o$ t + $\frac{1}{2}$ $\alpha$ t$_{2}$

$\omega^2(t)$ = $\omega_o^2(t)$ + 2 $\alpha$ $\theta$

$\bar{\omega}$ = $\frac{\omega + \omega_o}{2}$.

Where $\omega_o$ and $\omega$ are initial and final angular velocity, $\alpha$ is angular acceleration, t is time taken.