Circular Motion Calculator
What is Circular Motion?
Circular motion is the motion of an object along a circular path with a fixed radius. Unlike linear motion, where an object moves in a straight line, an object in circular motion is continuously changing its direction. Even if the speed remains constant, the velocity changes because the direction changes at every point.
Examples of circular motion include:
• A stone tied to a string and whirled in a circle
• The motion of planets around the sun
• Rotation of wheels and fans
• Satellites orbiting the Earth
Important Quantities in Circular Motion
Radius (r): Distance from the center of the circle to the moving object.
Linear Velocity (v): Speed of the object along the circular path, measured in m/s.
Angular Velocity (ω): Rate of change of angular displacement, measured in rad/s.
Key Formula Used
v = ω × r
This formula relates linear velocity, angular velocity, and radius. Knowing any two of these values allows you to calculate the third.
How to Use This Calculator
1. Enter any two known values (radius, velocity, or angular velocity).
2. Leave the unknown field empty.
3. Click Calculate.
4. The calculator instantly finds the missing value.
Worked Example
A particle moves in a circular path of radius 2 m with an angular velocity of 5 rad/s.
Using the formula:
v = ω × r
v = 5 × 2 = 10 m/s
This means the particle travels 10 meters per second along the circular path.
Why Circular Motion is Important
Circular motion plays a key role in physics and engineering. It is used in designing rotating machinery, analyzing satellite motion, studying roller coasters, and understanding planetary systems. This calculator helps students and engineers perform quick and accurate calculations without manual effort.
No comments:
Post a Comment