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Science Calculators

Terminal Velocity Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
kg
m/s²
kg/m³
Verified formula Private

Terminal velocity

42.7836

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Terminal Velocity Calculator

The Terminal Velocity Calculator works out your terminal velocity in an instant. Enter mass, gravity and air density and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the mass.
  2. Enter the gravity.
  3. Enter the air density.
  4. Enter the cross-section area.
  5. Enter the drag coefficient.
  6. Read off your terminal velocity — the calculator updates automatically, with no button to press.

Formula

The Terminal Velocity Calculator uses the formula:

Terminal velocity = √(2 × Mass × Gravity ÷ (Air density × Cross-section area × Drag coefficient))

Worked example

For example, with mass of 80 kg, gravity of 9.81 m/s², air density of 1.225 kg/m³ and cross-section area of 0.7 m² and the other inputs, the terminal velocity is 42.7836.

Inputs used
Mass 80 kg
Gravity 9.81 m/s²
Air density 1.225 kg/m³
Cross-section area 0.7 m²
Drag coefficient 1
Results
Terminal velocity 42.7836

Results are estimates for educational use, not professional advice.

Key terms explained

Velocity
The speed of an object in a given direction.
Density
Mass per unit volume, calculated as mass ÷ volume.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Use √(2mg ÷ (ρ × A × Cd)). A 80 kg skydiver with 0.7 m² area reaches about 43 m/s belly-down.

It is the steady falling speed where air drag balances gravity, so acceleration stops.

Changing body position alters area and drag; a tucked dive is faster than a spread position.

At terminal velocity, more mass for the same area and drag gives a higher terminal speed.

Enter the mass. Enter the gravity. Enter the air density. Enter the cross-section area. Enter the drag coefficient. Read off your terminal velocity — the calculator updates automatically, with no button to press.

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