Question

How do you find speed in circular motion?

Answer 1

Step 1: Speed in a circular motion

A sample is shown in the figure. when a golf ball is cranked around in circles while being connected to a string. You might say that the golf ball is moving in a uniform circular motion because it moves in a circle while moving at a constant speed.

Any item moving in a circle with a constant radius always completes the circle in the same period of time. Its period was created by $\mathrm{T}$, and it occurs at that moment.

Step 2: Calculate the speed in a circular motion

You can readily relate the speed of the ball to its period if you are swinging a golf ball on a string at a constant temperature. You are aware that the radius of the circle, which is, equals the distance the ball must travel each time around the circle.

$\Rightarrow \mathrm{Circumference}\mathrm{of}\mathrm{circle}=2\mathrm{\pi r}$

Where $r$ is the radius of the circle, so you can get the equation for finding an objects period by first finding its speed:

$$\begin{gathered} \Rightarrow \mathrm{v}=\frac{\mathrm{circumference}}{\mathrm{period}} \\ \Rightarrow \mathrm{v}=\frac{2\mathrm{\pi r}}{\mathrm{T}} \end{gathered}$$