Centripetal Force Formula:
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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.
The calculator uses the formula:
Where:
Explanation: The force required increases with mass and the square of velocity, but decreases with larger radius.
Details: Understanding centripetal force is crucial in designing circular motion systems like roller coasters, centrifuges, and planetary orbits.
Tips: Enter the mass in kg, velocity in m/s, and radius in m. All values must be > 0.
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.