# ANGULAR VELOCITY-DIFFERENCE BETWEEN W×R AND R×W

## 1/12/20

ANGULAR VELOCITY

ANGULAR VELOCITY is the Physical quantity derived from base physical quantity defined as - " Angular Velocity is rate at which angular position of a body changes w.r.t chosen point centre "

By convention positive angular velocity indicates counterclockwise rotation why negative is clock wise.

Conventionally angular velocity as specified by Right Hand Thumb Rule.

SYMBOL-\textbf(\omega)

Credit : Wikipedia[/caption]

The angular velocity of particle with respect to origin is Defined by perpendicular component of velocity vector v.

Angular velocity determined by formulae

\displaystyle \omega ={\frac{d\theta}{dt}}={\frac{v_{\perp}}{r}}={\frac{v\sin(\theta)}{r}}

Where , V prependicular is cross radial component of v .

Hence, According to Right hand thumb rule \displaystyle \mathbf {v}_{\perp}={\boldsymbol{\omega}}\times \mathbf {r}

According to left Hand Thumb Rule $$\displaystyle \mathbf {v}_{\perp}={\boldsymbol{r}}\times \mathbf {\omega}$$