Question

What is the formula of rotational motion?

Answer 1

Rotational motion:

Rotational motion on an object is defined as the motion of that object about a fixed axis in which the axis is fixed and the object moves around the axis in fixed circular paths.

The formula for rotation motion:

If a body executes rotational motion, the equations of motions are written as : $\omega ={\omega }_0+\alpha t$, $\theta ={\omega }_{0}t+1/2\alpha t^2$, ${\omega }^2={{\omega }_0}^2+2\alpha \theta$

Where $\omega =$ final angular velocity (rads^-1), ${\omega }_0=$ initial angular velocity (rads^-1), $\theta =$ angular displacement (radians), and $\alpha =$angular acceleration ($rad{s}^{-2}$).

$Torqueinrotationalmotion=forcexperpendiculardis\tan ce$ from the axis of rotation $\tau =Fd$, $\tau =FrSin\theta$

$Powerofthetorque=Torquexangularvelocity$, $P=\tau \omega$

$Workdonebythetorque=torquexangulardisplacement$, $W=\tau \theta$