1. What is Centrifugal Force?

Definition: Centrifugal force is the apparent outward force on a mass when it is rotated, arising from the inertia of the mass.

Purpose: This calculator determines the centrifugal force experienced by an object moving in a circular path based on its mass, angular velocity, and radius of rotation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — Centrifugal force (Newtons, N)
• \( m \) — Mass of the object (kilograms, kg)
• \( \omega \) — Angular velocity (radians per second, rad/s)
• \( r \) — Radius of rotation (meters, m)

Explanation: The force increases with the square of angular velocity and linearly with both mass and radius.

3. Importance of Centrifugal Force Calculation

Details: Understanding centrifugal force is crucial in designing rotating machinery, amusement park rides, and analyzing circular motion in physics.

4. Using the Calculator

Tips: Enter the mass in kg, angular velocity in rad/s, and radius in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between centrifugal and centripetal force?
A: Centripetal force is the real inward force causing circular motion, while centrifugal force is the apparent outward force felt by the rotating object.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472).

Q3: Does this formula work for any rotating system?
A: Yes, as long as the rotation is uniform and the reference frame is rotating with the object.

Q4: Why does angular velocity have such a large impact?
A: Because it's squared in the formula - doubling the speed quadruples the force.

Q5: What are some practical applications?
A: Used in designing centrifuges, roller coasters, washing machine spin cycles, and planetary motion calculations.