Terminal Velocity of a Sphere

v = sqrt(2·m·g/(ρ·A·C_d))

What it says

The steady falling speed where drag balances weight.

Symbols

Symbol	Quantity	Dimension
`v`	Terminal speed (m/s)	`L T^-1`
`m`	Mass (kg)	`M`
`g`	Gravitational acceleration (m/s^2)	`L T^-2`
`ρ`	Fluid density (kg/m^3)	`M L^-3`
`A`	Frontal area (m^2)	`L^2`
`C_d`	Drag coefficient (dimensionless)	`1`

Work it out

Enter what you know. No account needed.

m — Masskgg — Gravitational accelerationm/s^2ρ — Fluid densitykg/m^3A — Frontal aream^2C_d — Drag coefficientdimensionlessv — Terminal speedm/s

Fill in all but one: m, g, ρ, A, C_d, v are all empty.

Filed under Fluid dynamics · derive through it in the explorer