Question

Q. Write down the equations of motion in circular path.

Answer 1

Dear Student

If the moves in the circular orbit,
the radius of the circular path= R
Distance travelled by the by the object =$2\pi R$
Time taken for one oscillation is =T
$$\begin{gathered} Velocity=\frac{Dis\tan ce}{Time}=\frac{2\pi R}{T} \\ V=\frac{2\pi R}{T}=R\omega \\ \omega =\frac{2\pi }{T}=angularvelocity \\ frequencyf=\frac{1}{Timeperiod}=\frac{1}{T} \\ V=2\pi R\times f \\ Accelerationa=\frac{dR\omega }{dt}=R\frac{d\omega }{dT}=R\alpha \\ a=R\alpha \\ \alpha istheangularaccleration \end{gathered}$$

Regards