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Centripetal Force Calculator

Centripetal Force Formula:

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

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m/s
meters

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1. What is Centripetal Force?

Centripetal force is the force that keeps an object moving in a circular path. It's directed towards the center around which the object is moving and is necessary for any kind of circular motion.

2. How Does the Calculator Work?

The calculator uses the centripetal force formula:

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

Where:

Explanation: The force required to keep an object moving in a circle increases with the square of the velocity and decreases with increasing radius.

3. Importance of Centripetal Force

Details: Centripetal force is fundamental in understanding circular motion in physics, from planetary orbits to amusement park rides. It's essential in designing anything that involves circular paths, like roads, roller coasters, and centrifuges.

4. Using the Calculator

Tips: Enter mass in kilograms, velocity in meters per second, and radius in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Is centripetal force a real force?
A: Centripetal force isn't a separate force but rather the net force directed toward the center that causes circular motion. It can be provided by tension, gravity, friction, or other forces.

Q2: How is centripetal force different from centrifugal force?
A: Centripetal force is the real inward force needed for circular motion. Centrifugal force is a fictitious outward force that appears in a rotating reference frame.

Q3: What are some real-world examples?
A: Earth's gravity provides centripetal force for satellites, friction provides it for cars turning corners, and tension provides it for a ball on a string.

Q4: What happens if centripetal force disappears?
A: The object would move in a straight line (Newton's first law) tangent to its former circular path.

Q5: How does velocity affect the force needed?
A: Since force depends on velocity squared, doubling the speed requires four times the centripetal force.

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