1. What is Centripetal Force?

Definition: Centripetal force is the force that keeps an object moving in a circular path, directed towards the center around which the object is moving.

Purpose: This calculator helps determine the force required to keep an object moving in a circular path at constant speed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_c \) — 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 required increases with mass and velocity squared, but decreases with larger radius.

3. Importance of Centripetal Force

Details: Understanding centripetal force is crucial in designing circular motion systems like roller coasters, planetary orbits, and centrifuges.

4. Using the Calculator

Tips: Enter the mass of the object, its velocity, and the radius of the circular path. All values must be > 0.

5. Frequently Asked Questions (FAQ)

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

Q2: How does velocity affect centripetal force?
A: Force increases with the square of velocity - double the speed requires four times the force.

Q3: What are some real-world examples?
A: Car turning (friction provides centripetal force), Earth's orbit (gravity provides centripetal force), washing machine spin cycle.

Q4: What happens if centripetal force is removed?
A: The object will move in a straight line (Newton's first law) tangent to its circular path.

Q5: Can this formula be used for planetary motion?
A: Yes, but gravitational force provides the centripetal force in that case.