1. What is Centripetal Force?

Centripetal force is the force that keeps an object moving in a circular path, directed towards the center of rotation. It is essential for understanding circular motion in physics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the centripetal force formula:

Where:

• \( F \) — Centripetal force (newtons)
• \( m \) — Mass (kilograms)
• \( v \) — Linear velocity (meters per second)
• \( r \) — Radius (meters)
• \( D \) — Diameter (meters)
• \( RPM \) — Rotations per minute

Explanation: The formula calculates the force required to keep an object moving in a circular path at a given rotational speed.

3. Importance of Centripetal Force Calculation

Details: Centripetal force calculations are crucial in designing rotating machinery, amusement park rides, vehicle dynamics, and understanding planetary motion.

4. Using the Calculator

Tips: Enter mass in kilograms, diameter in meters, and RPM (rotations per minute). All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between centripetal and centrifugal force?
A: Centripetal force is the real force pulling objects inward, while centrifugal force is the apparent outward force experienced in a rotating reference frame.

Q2: How does radius affect centripetal force?
A: For the same mass and velocity, smaller radius requires greater centripetal force to maintain circular motion.

Q3: What are practical applications of centripetal force?
A: Car turning on curves, satellites orbiting Earth, centrifuges, and washing machine spin cycles all involve centripetal force.

Q4: Why convert RPM to linear velocity?
A: RPM gives rotational speed, but centripetal force depends on linear velocity, which varies with distance from the center.

Q5: What units should I use for accurate calculations?
A: Use SI units: kilograms for mass, meters for distance, and newtons for force to ensure consistent results.