Understand the engineering model
What is Centripetal Force?
Mechanics uses measured mass, force, motion, work, energy, and momentum to describe how an idealized body moves or interacts under stated conditions.
Turn the radial-force relationship into a full circular-motion summary with consistent angular companions.
The relationship
Write the model before substituting values
F=mv²/r; aᵣ=v²/r; ω=v/r; period=2πr/v.
See the calculation
From measurement to engineering result
1Body and known state2Mechanics relationship3Solved state and check
Worked context
Read the output with its units
A 20 kg mass moving at 10 m/s on a 4 m radius requires 500 N inward net force.
Interpret with care
Important model boundary
The force is the net inward component for ideal circular motion. It is not an additional outward force and does not determine material, tyre, track, bearing, or structural safety.
A calculated value does not certify a component, material, installation, operating envelope, code requirement, or safety decision. Check measurements, signs, standards, uncertainty, and professional approval where consequences matter.
Browse Engineering & science for connected physical relationships.
Quick guide
How to use this calculator
- Choose the physical relationship and solve direction that match the known measurements rather than forcing unlike quantities into one formula.
- Enter every unit, sign, reference direction, geometry, material property, fluid property, temperature basis, coefficient, and idealization explicitly. The calculator normalizes compatible quantities internally and exposes intermediate values.
- Use reconciliation and companion outputs to catch entry mistakes, then retain the stated model boundary. A theoretical result is not a design approval, material certificate, equipment rating, or safety determination.
Calculation method
How the centripetal force calculator works
Turn the radial-force relationship into a full circular-motion summary with consistent angular companions.
F=mv²/r; aᵣ=v²/r; ω=v/r; period=2πr/v.
Worked example
Centripetal Force example
A 20 kg mass moving at 10 m/s on a 4 m radius requires 500 N inward net force.
F=mv²/r; aᵣ=v²/r; ω=v/r; period=2πr/v.
Supported inputs
Precision and limits
Engineering-model boundary
The force is the net inward component for ideal circular motion. It is not an additional outward force and does not determine material, tyre, track, bearing, or structural safety.
Units and precision
Calculations normalize compatible inputs to SI, retain working precision, and round only for display. Very small and large nonzero values use scientific notation; displayed digits cannot create accuracy beyond the entered measurements and properties.
Decision boundary
This page solves the declared idealized relationship only. Verify applicable material data, operating conditions, geometry, loads, coefficients, standards, codes, manufacturer requirements, uncertainty, and professional approval before consequential use.
Category ownership
Generic mechanics, materials, fluid, aerodynamic, wave, and thermodynamic relationships live here. Trade-specific pipe, HVAC, motor, electrical, construction, automotive, radiation, statistical, chemical, and astronomical workflows remain with their established categories.
Privacy
Entered values and results stay in this browser and are not sent to analytics or third parties.
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