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, useful in physics, engineering, and various applications like amusement park rides and planetary orbits.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F_c \) — Centripetal force (Newtons)
• \( m \) — Mass of the object (kilograms)
• \( v \) — Tangential velocity (meters/second)
• \( r \) — Radius of circular path (meters)

Explanation: The force increases with mass and velocity squared, but decreases with larger radius.

3. Importance of Centripetal Force Calculation

Details: Proper calculation ensures safety in rotating machinery, vehicle turns, and orbital mechanics. It's fundamental in understanding circular motion.

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 real inward force causing circular motion. Centrifugal is the apparent outward force felt in a rotating reference frame.

Q2: How does velocity affect centripetal force?
A: Force increases with the square of velocity - double the speed requires 4× the force.

Q3: What happens when centripetal force is removed?
A: The object will move in a straight line tangent to its circular path (Newton's 1st Law).

Q4: What are real-world examples of centripetal force?
A: Car turning (friction provides force), Earth's orbit (gravity), washing machine spin cycle.

Q5: How is this related to angular velocity?
A: The formula can also be written as \( F_c = m \omega^2 r \), where ω is angular velocity in rad/s.