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Calculators/Physics/Terminal velocity
Physics

Terminal velocity calculator

Maximum falling speed once drag balances gravity.

What this calculator does

Terminal velocity works out maximum falling speed once drag balances gravity. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulav_t = √(2mg / (ρ·A·C_d))

The inputs explained

FieldWhat to enter
Mass (kg)A number, measured in kg. Starts at 80.
Fluid density (air ≈ 1.225) (kg/m³)A number, measured in kg/m³. Starts at 1.225.
Cross-sectional area (m²)A number, measured in m². Starts at 0.7.
Drag coefficientA number. Starts at 1.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with mass

Every other input is held at the calculator’s starting values while mass varies. Select any row to load that scenario into the calculator.

How the answer changes with mass
Mass (kg)Terminal velocityIn km/hIn mph
4030.25 m/s108.9 km/h67.7 mph
6037.05 m/s133.4 km/h82.9 mph
8042.78 m/s154.0 km/h95.7 mph
12052.39 m/s188.6 km/h117.2 mph
16060.49 m/s217.8 km/h135.3 mph
24074.09 m/s266.7 km/h165.7 mph