1. What is Centripetal Force?

Definition: Centripetal force is the force required to keep an object moving in a circular path at constant speed.

Purpose: This calculator helps determine the inward force needed for circular motion, important in physics, engineering, and various mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — Centripetal force (Newtons, N)
• \( m \) — Mass of the object (kilograms, kg)
• \( v \) — Velocity of the object (meters per second, m/s)
• \( r \) — Radius of the circular path (meters, m)

Explanation: The force needed increases with mass and the square of velocity, but decreases with larger radius.

3. Importance of Centripetal Force Calculation

Details: Proper calculation is essential for designing safe and efficient circular motion systems like roller coasters, centrifuges, and planetary orbits.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: Does this formula work for any circular motion?
A: Yes, as long as the speed is constant (uniform circular motion).

Q3: Why does velocity have a squared term?
A: Because kinetic energy increases with the square of velocity, and force is related to energy changes.

Q4: What units should I use?
A: Use kg for mass, m/s for velocity, and m for radius to get force in Newtons (N).

Q5: Can I use this for planetary motion?
A: Yes, this is the basic principle behind calculating gravitational forces in orbits.