Science Academy
☰✕

Terminal Velocity Calculator

🧱 Forces & Newton’s laws. Use the Terminal velocity (drag = weight) formula to find terminal velocity, mass, air density, drag coefficient, area facing the air: pick the value you want, type the others, and the answer updates as you go.

vt=2mgρCdAv_t = \sqrt{\dfrac{2mg}{\rho C_d A}}
Terminal velocity54.128 m/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Terminal velocitym/s
Masskg
Air densitykg/m³
Drag coefficientno unit
Area facing the airm²

Worked example

Find the terminal velocity when Mass = 75 kg, Air density = 1.225 kg/m³, Drag coefficient = 1, Area facing the air = 0.41 m².

Using vt = √(2mg/(ρ Cd A)): Terminal velocity = 54.128 m/s.

Frequently asked questions

What is the formula for Terminal velocity (drag = weight)?

vt = √(2mg/(ρ Cd A)).

What do the letters stand for, and what units are used?

Terminal velocity in m/s, Mass in kg, Air density in kg/m³, Drag coefficient, Area facing the air in m².

How do you calculate terminal velocity?

Put the values into vt = √(2mg/(ρ Cd A)). For example, with Mass = 75 kg, Air density = 1.225 kg/m³, Drag coefficient = 1, Area facing the air = 0.41 m², terminal velocity = 54.128 m/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (terminal velocity, mass, air density, drag coefficient, area facing the air) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas