Centrifugal Force Calculator

Radius (\( r \)):

Angular Velocity (\( \omega \)):

Mass (\( m \)):

Centrifugal Force (\( F \)) in newtons (N):

Centrifugal Force (\( F \)) in pound-force (lbf):

Centrifugal Force (\( F \)) in dynes (dyn):

Centrifugal Force (\( F \)) in kilogram-force (kgf):

1. What is the Centrifugal Force Calculator?

Definition: This calculator determines the centrifugal force (\( F \)) experienced by an object in circular motion, based on its mass (\( m \)), angular velocity (\( \omega \)), and radius (\( r \)).

Purpose: It assists in understanding the force acting on an object due to circular motion, useful in physics, engineering, and design applications such as vehicle dynamics, machinery, and amusement rides.

2. How Does the Calculator Work?

The calculator uses the relationship:

\[ F = m \omega^2 r \]

Where:

\( F \) — Centrifugal force (in various units)
\( m \) — Mass of the object
\( \omega \) — Angular velocity
\( r \) — Radius of the circular motion

Explanation: Enter the radius, angular velocity, and mass in the chosen units, and the calculator computes the centrifugal force. Results use scientific notation (5 decimal places) if the force in newtons is greater than 10000 or less than 0.00001, otherwise 2 decimal places. For default inputs (\( r = 2 \, \text{m} \), \( \omega = 3 \, \text{rad/s} \), \( m = 5 \, \text{kg} \)), the calculated force is 90 N.

3. Importance of Centrifugal Force

Details: Centrifugal force is a pseudo-force experienced in a non-inertial reference frame during circular motion. It’s crucial for understanding dynamics in rotating systems, such as in vehicle stability, centrifuge design, and planetary motion analysis.

4. Using the Calculator

Tips: Enter positive values for radius, angular velocity, and mass, then click "Calculate." Results show the centrifugal force in newtons, pound-force, dynes, and kilogram-force (scientific notation with 5 decimal places if > 10000 or < 0.00001 N, otherwise 2 decimal places).

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