Centrifugal Force Calculator — Circular Motion & Rotational DynamicsF = mv²/r · Force · Mass · Velocity · Radius · RPM
Use this free Centrifugal Force Calculator to instantly compute any unknown variable in circular motion physics — including centrifugal force (F) in Newtons, mass (m) in kilograms, tangential velocity (v) in metres per second, and radius of circular path (r) in metres — using the fundamental centrifugal force formula: F = m × v² / r. This equation — derived from Newton's Second Law of Motion and the principles of centripetal acceleration — is the cornerstone of rotational dynamics and circular motion analysis in both classical mechanics and applied engineering physics. Enter any three known values to automatically solve the fourth circular motion parameter in real time.
The centrifugal force equation F = mv²/r is fundamental across a wide range of physics and engineering applications: rotational dynamics and angular velocity calculations · mechanical engineering — gear, pulley & shaft design · vehicle cornering forces & automotive handling analysis · centrifuge RPM & G-force calculations in laboratory science · amusement ride safety & structural load analysis · satellite orbital mechanics & aerospace engineering. Whether you are solving circular motion problems in A-Level or AP Physics, designing a centrifugal pump or turbine, calculating banked curve road design forces, or analyzing centripetal vs centrifugal force in a rotating reference frame — this online circular motion calculator delivers fast, accurate results for students, physicists, and mechanical engineers alike.
⚠ Physics Disclaimer: This centrifugal force calculator is intended for educational, academic, and engineering estimation purposes only. Calculations assume ideal uniform circular motion in an inertial reference frame and do not account for friction forces, air resistance (drag), gravitational variation, non-uniform velocity, or structural material limits. For safety-critical engineering applications — including industrial centrifuge design, aerospace components, or amusement ride certification — always verify results with a licensed mechanical or structural engineer and applicable engineering design codes.
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Centrifugal Force Calculator — The Outward Push in Rotating Systems Quantified
Centripetal force is the inward-directed force that keeps an object moving in a circle; centrifugal force is the outward pseudo-force felt from within the rotating reference frame. In engineering and everyday contexts, both terms are used, and the magnitude is identical: F = mv²/r or equivalently F = mω²r. A 70 kg person on a carnival ride with 5 m radius spinning at 1 revolution per second experiences 1,382 N of centrifugal force — nearly twice their body weight pressing them into the seat. The calculator covers both the F = mv²/r (linear velocity) and F = mω²r (angular velocity) formulations.
Centrifugal acceleration expressed as multiples of gravity (g-force) is the unit that makes rotating system forces intuitively meaningful. Fighter pilots experience 9g during hard turns; Formula 1 drivers experience 5g during cornering; theme park rides are designed to stay below 3-4g for safety. A laboratory centrifuge spinning at 20,000 RPM with a 10 cm rotor radius generates 44,720g — over 44,000 times gravity. The calculator converts angular velocity and radius directly to g-force so you can compare rotating systems on the scale that matters for human tolerance and material stress.
Centrifugal force in washing machine drum design, road banking for curves, satellite orbital mechanics, and industrial centrifuge sizing all follow the same equation but require different unit inputs. A banked highway curve designed for 120 km/h with a 400 m radius requires a 15.6° bank angle to eliminate lateral tire forces. The calculator handles unit conversion between RPM, rad/s, and m/s so engineers using different unit conventions reach the same numerical result.