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Force With Velocity And Mass Calculator by Tons of Concrete

Centripetal Force Formula:

\[ F = \frac{m \times v^2}{r} \]

kg
m/s
m

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1. What is Centripetal Force?

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

Purpose: This calculator helps determine the force required to maintain circular motion given mass, velocity, and radius.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = \frac{m \times v^2}{r} \]

Where:

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

3. Importance of Centripetal Force Calculation

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

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, while centrifugal is the apparent outward force felt in a rotating frame.

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

Q3: What happens if radius increases?
A: Larger radius means less force is needed to maintain the same velocity.

Q4: Can this be used for planetary motion?
A: Yes, it's the same principle that keeps planets in orbit around the sun.

Q5: What are practical applications?
A: Used in designing roads (banked curves), amusement park rides, and particle accelerators.

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