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Centrifugal Force Calculator

Calculate centrifugal force from mass, angular velocity, and radius in rotating systems.

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What Is Centrifugal Force?

Centrifugal force is the apparent outward force on a body moving in a circular path, observed in a rotating reference frame. It is not a real force in an inertial frame — centripetal force points inward to maintain circular motion. In practice, engineers use the centrifugal formulation for rotating machinery and vehicle cornering.

Centrifugal Force Formula

$$F = m\omega^2 r$$

\(m\) is mass in kg, \(\omega\) is angular velocity in rad/s, and \(r\) is radius in meters. From RPM: \(\omega = 2\pi \cdot \text{RPM} / 60\).

Example: 10 kg at 100 RPM with 2 m radius gives \(\omega = 10.47\) rad/s and \(F = 10 \times 10.47^2 \times 2 \approx 2{,}193\) N.

Related Quantities

Centrifugal acceleration is \(a = F/m = \omega^2 r\). Tangential speed is \(v = \omega r\). The equivalent formula \(F = mv^2/r\) applies when tangential speed is known directly.

Frequently Asked Questions

How do I convert RPM to angular velocity?

Multiply RPM by \(2\pi/60\). For example, 60 RPM equals \(2\pi \approx 6.28\) rad/s.

Is centrifugal force a real force?

In an inertial frame, only centripetal (inward) force is needed. Centrifugal force appears when analyzing motion in a frame that rotates with the object.

How does this apply to a turning car?

A car cornering at speed experiences lateral acceleration \(v^2/r\) toward the center of the curve. Tire friction must provide that centripetal force.

What is the difference between F = mω²r and F = mv²/r?

They are equivalent because \(v = \omega r\). Use whichever form matches the inputs you have.

What units should I use?

Mass in kg, radius in meters, angular velocity in rad/s or RPM. Force is in newtons (N).