1. What is Centripetal Force?

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

Purpose: This calculator computes the centripetal force required to keep an object moving along a curved 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)
• \( v \) — Tangential velocity (meters per second, m/s)
• \( r \) — Radius of the circular path (meters, m)

Explanation: The force required 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 object's mass, its velocity, and the radius of its circular path. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What provides centripetal force in different situations?
A: Tension (in a string), friction (for cars turning), gravity (for orbits), or normal force (in loops).

Q2: How is centripetal force different from centrifugal force?
A: Centripetal is real force towards center; centrifugal is apparent outward force in rotating frames.

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

Q4: Why does force increase with velocity squared?
A: Because both the object's speed and the rate of direction change increase with velocity.

Q5: How does radius affect the required force?
A: Larger radius means gentler curve, requiring less force for the same speed.