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 determines the inward force needed for circular motion based on mass, velocity, and radius.

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/second, m/s)
• \( r \) — Radius of the circular path (meters, m)

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

3. Importance of Centripetal Force

Details: Understanding centripetal force is crucial in designing roads, roller coasters, and analyzing planetary orbits.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: What happens if centripetal force disappears?
A: The object would move in a straight line tangent to its circular path (Newton's 1st Law).

Q3: Does this work for planetary orbits?
A: Yes, this is the same physics that keeps planets in orbit around the sun.

Q4: Why does velocity have more impact than mass?
A: Because force depends on velocity squared - doubling velocity quadruples the force.

Q5: What provides centripetal force in real applications?
A: Examples include tension (in a string), friction (for cars turning), or gravity (for orbits).