Circular Motion Calculator Velocity Radius and Period

How to Use This Calculator

1. Enter the radius of the circular path in meters (m).
2. Enter the period of rotation in seconds (s).
3. Click the "Calculate" button to compute the velocity.
4. The result will be displayed in meters per second (m/s).

Understanding Circular Motion

Circular motion is motion in a circular path. It can be uniform, with a constant speed, or non-uniform, with a varying speed. The velocity of an object in circular motion is always tangent to the circle at the object's position.

Formula Explanation

The calculator uses the formula: v = 2πr/T

Where:

• v is the linear velocity of the object
• r is the radius of the circular path
• T is the period of rotation (time to complete one full circle)

Example

If an object moves in a circular path with a radius of 5 meters and completes one full rotation in 2 seconds, its velocity would be:

v = (2 × π × 5) / 2 = 15.71 m/s