Terminal Velocity Calculator

Formula

The formula to calculate the Terminal Velocity (Vterminal) is:

$Vterminal = \frac{2}{9} \cdot r^2 \cdot (\rho_1 - \rho_2) \cdot g / \mu_{viscosity}$

Definition

Terminal Velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). Radius is a radial line from the focus to any point of a curve. Density of the first phase in a two-phase microstructure. Density of the second phase in a two-phase microstructure. Acceleration due to Gravity is acceleration gained by an object because of gravitational force. The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Example Calculation

Let's assume the following values:

Radius (r) = 0.2 Meter
Density of the First Phase (ρ1) = 8500 Kilogram per Cubic Meter
Density of the Second Phase (ρ2) = 6000 Kilogram per Cubic Meter
Acceleration due to Gravity (g) = 9.8 Meter per Square Second
Dynamic Viscosity (μviscosity) = 1.02 Pascal Second

Using the formula:

$Vterminal = \frac{2}{9} \cdot 0.2^2 \cdot (8500 - 6000) \cdot 9.8 / 1.02 \approx 213.507625272331$

The Terminal Velocity is approximately 213.507625272331 Meter per Second.

Conversion Chart

Radius (Meter)	Density of the First Phase (Kilogram per Cubic Meter)	Density of the Second Phase (Kilogram per Cubic Meter)	Acceleration due to Gravity (Meter per Square Second)	Dynamic Viscosity (Pascal Second)	Terminal Velocity (Meter per Second)
0.1	8500	6000	9.8	1.02	53.376906318082796
0.15	8500	6000	9.8	1.02	120.098039215686327
0.2	8500	6000	9.8	1.02	213.507625272331182
0.25	8500	6000	9.8	1.02	333.605664488017396
0.3	8500	6000	9.8	1.02	480.392156862745139