Centripetal Force Calculator
Compute centripetal force F = mv²/r = mω²r.
Input Data
Mass
kg
Velocity
m/s
Radius
m
Results
F = mv²/r.
50N
a_c = v²/r.
50m/s²
At a glance:F = m·v²/r = m·ω²r (toward center). Complements centripetal-acceleration and banking-angle.
Formula
F = m·v² / r.
$$F = \dfrac{m v^2}{r}$$$$a = \dfrac{v^2}{r} = \omega^2 r$$How to Use
- Enter mass, velocity and radius.
- The tool returns force and acceleration.
Case Studies
m=2, v=5, r=10
F = 5 N.
FAQ
Real force?
It is the net inward force (from tension, gravity, etc.), not a new force.
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References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.