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 body resisting the centripetal acceleration.

Purpose: This calculator helps determine the centrifugal force experienced by an object moving in a circular path.

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 directly with both mass and radius.

3. Importance of Centrifugal Force Calculation

Details: Understanding centrifugal force is crucial in designing rotating machinery, amusement park rides, vehicle dynamics, and many engineering applications.

4. Using the Calculator

Tips: Enter the mass in kg, angular velocity in rad/s (convert from RPM by multiplying by π/30), and radius in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Is centrifugal force a real force?
A: In an inertial frame, it's a fictitious force that appears to act outward on a body moving in a circular path.

Q2: How is angular velocity (ω) related to RPM?
A: ω = RPM × (2π/60) = RPM × (π/30) rad/s

Q3: What's the difference between centrifugal and centripetal force?
A: Centripetal force is the real inward force causing circular motion, while centrifugal is the apparent outward force felt by the rotating object.

Q4: Where is centrifugal force important in everyday life?
A: In washing machine spin cycles, centrifuge separators, vehicle cornering forces, and planetary orbits.

Q5: How does radius affect centrifugal force?
A: Force increases linearly with radius - double the radius means double the force at the same angular velocity.