mechanics
Centripetal Force Calculator
Convert linear speed, angular velocity, frequency, and period; calculate centripetal acceleration and force; solve an ideal frictionless banked curve in both directions.
Calculator
Formula
v = ωr; ω = 2πf = 2π/T; ac = v²/r; Fc = mac; tanθ = v²/(rg)
- F — Centripetal force
- N
- m — Mass
- kg · g
- v — Speed
- m/s · km/h
- r — Radius
- m · cm · km
Assumptions and limits
- Uniform circular motion and an ideal frictionless banked curve are modeled.
Example
Worked example
The calculator starts with an editable example.
Sources
- University Physics — OpenStax
Frequently asked questions
Are my inputs uploaded?
No. This calculator runs locally in your browser. Inputs are placed in a URL only when you explicitly copy a share link.
Why are units converted first?
Canonical units prevent scale errors when inputs use mixed units. The result is converted back to your selected output unit afterward.
Does the result replace professional judgment?
No. The result applies only to the stated model and assumptions. Qualified people should review high-risk engineering, medical, or laboratory decisions.