The circular velocity formula is expressed as
![Circular Velocity Formula 1 1 10](https://www.educationidol.in/wp-content/uploads/2022/09/1-10.gif)
Where,
r denotes the radius of the circular orbit
T is the time period
In terms of angular velocity ω, the circular velocity is described
![Circular Velocity Formula 2 2 6](https://www.educationidol.in/wp-content/uploads/2022/09/2-6.gif)
Where,
ω denotes the angular velocity
![Circular Velocity Formula 3 3 4](https://www.educationidol.in/wp-content/uploads/2022/09/3-4.gif)
r is the radius of the circular path
Solved Examples
Example 1
Determine the circular velocity of a pebble tied to a thread of 0.75 m when swirled is rotating with the angular velocity of 45 radians /s
Solution
Given parameters are,
Angular velocity ω = 45 rad/s
radius = 0.75 m
The circular velocity formula is given by
![Circular Velocity Formula 4 4 2](https://www.educationidol.in/wp-content/uploads/2022/09/4-2.gif)