Terminal Velocity using Stoke’s Law Calculator

Terminal Velocity Calculator (Stoke’s Law)

Calculate the terminal velocity of a spherical particle in a viscous fluid using:
\[ v_t = \frac{2\,r^2\,(\rho_p – \rho_f)\,g}{9\,\mu} \] where:
– \(r\) is the particle radius (m), – \(\rho_p\) is the particle density (kg/m³), – \(\rho_f\) is the fluid density (kg/m³), – \(g\) is the acceleration due to gravity (m/s²), and – \(\mu\) is the dynamic viscosity (Pa·s).

* Enter all values in SI units.

Step 1: Enter Parameters

Particle Radius, \( r \) (m):

Example: 0.001 m (1 mm)

Particle Density, \( \rho_p \) (kg/m³):

Example: 2500 kg/m³

Fluid Density, \( \rho_f \) (kg/m³):

Example: 1000 kg/m³

Gravitational Acceleration, \( g \) (m/s²):

Example: 9.81 m/s²

Dynamic Viscosity, \( \mu \) (Pa·s):

Example: 0.001 Pa·s (for water)

Step 1: Enter Parameters

Calculated Terminal Velocity