1. What is Centripetal Velocity?

Definition: Centripetal velocity is the speed of an object moving in a circular path, maintained by a centripetal force directed toward the center of rotation.

Purpose: This calculator helps determine the velocity of an object in circular motion based on the centripetal force, radius, and mass.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula relates the velocity of circular motion to the force keeping the object in that path, the size of the path, and the object's mass.

3. Importance of Centripetal Velocity

Details: Understanding centripetal velocity is crucial in designing circular motion systems like roller coasters, centrifuges, and orbital mechanics.

4. Using the Calculator

Tips: Enter the centripetal force in Newtons, radius in meters, and mass in kilograms. All values must be > 0.

5. Frequently Asked Questions (FAQ)

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

Q2: How does radius affect velocity?
A: For a given force, larger radius means higher velocity is needed to maintain circular motion.

Q3: What units should I use?
A: Use Newtons (N) for force, meters (m) for radius, and kilograms (kg) for mass to get velocity in m/s.

Q4: Can this be used for orbital velocity?
A: Yes, orbital velocity is a special case where gravity provides the centripetal force.

Q5: What if my object is moving at constant speed?
A: Circular motion requires constant acceleration (change in direction), even if speed is constant.