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Centripetal Force & Circular Motion Calculator

Centripetal force is the inward radial force required to constrain a body of mass m moving at tangential speed v along a circular path of radius r: F_c = (m × v²) / r.

F_c = (m × v²) / r
Pick which value you want to calculate (or type into any field):Solving for: F_c — Centripetal Force
Calculated

Inward radial force in Newtons

11,000,000.00

Mass in circular motion in kilograms

0.1100,000.00

Linear speed along the circular arc in m/s

0.1500

Radius of curvature in meters

0.110,000.00
Calculated Result · Centripetal Force (F_c)
12,000.00N
Converted units:

Step-by-Step Calculation

01Canonical Law: F_c = (m × v²) / r
02Given Inputs (Base Units): m = 1,500 kg, v = 20 m/s, r = 50 m
03Solve for F_c (Centripetal Force): F_c = 12,000 N

Centripetal force is the inward radial force required to constrain a body of mass m moving at tangential speed v along a circular path of radius r: F_c = (m × v²) / r.

Real-World Reference Values

Highway Ramp Lateral Grip0.80 G – 0.95 G max

Passenger tire dry asphalt cornering limit

Formula 1 High-Speed Corner4.5 G – 5.5 G lateral

Aerodynamic downforce multiplies normal tire load

Centripetal Acceleration (a_c)a_c = v² / r = 8.0 m/s²

Independent of vehicle mass

20-Row Comparison Table

Centripetal Force (F_c) · Object Mass (m)

Centripetal Force & Circular Motion Calculator — Object Mass → Centripetal Force
#Object Mass (kg)Centripetal Force (N)Δ %
010.1 kg0.8 N-99.99%
02802.7256 kg6,421.80 N-46.48%
031,500.00 kgCurrent12,000.00 N0.00%
042,407.98 kg19,263.81 N+60.53%
053,210.60 kg25,684.82 N+114.04%
064,013.23 kg32,105.82 N+167.55%
074,815.85 kg38,526.83 N+221.06%
085,618.48 kg44,947.83 N+274.57%
096,421.10 kg51,368.84 N+328.07%
107,223.73 kg57,789.84 N+381.58%
118,026.36 kg64,210.85 N+435.09%
128,828.98 kg70,631.85 N+488.60%
139,631.61 kg77,052.86 N+542.11%
1410,434.23 kg83,473.86 N+595.62%
1511,236.86 kg89,894.87 N+649.12%
1612,039.48 kg96,315.87 N+702.63%
1712,842.11 kg102,736.88 N+756.14%
1813,644.74 kg109,157.88 N+809.65%
1914,447.36 kg115,578.89 N+863.16%
2015,249.99 kg121,999.89 N+916.67%
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Frequently Asked Questions

How do I find the maximum cornering speed before skidding?+

Set F_c equal to maximum tire friction (μ × m × g), click SOLVE FOR on v, and the engine calculates v = √(F_c × r / m).

What is the difference between centripetal and centrifugal force?+

Centripetal force is the real inward force acting on the object in an inertial frame; centrifugal force is the apparent outward pseudo-force felt inside the rotating frame.

How does halving the turn radius affect lateral force?+

At constant speed v, halving the radius r doubles the required centripetal force F_c.