Stokes Law Calculators

➔ Calculate Terminal Velocity (Fall Velocity or Settling Velocity)
➔ Calculate Acceleration Of Gravity
➔ Calculate Diameter Of a Particle
➔ Calculate Density Of Medium
➔ Calculate Density Of Particle
➔ Calculate Viscosity Of Medium

Calculate Terminal Velocity


V = Terminal Velocity      D = Diameter Of a Particle
g = Acceleration Of Gravity      v = Viscosity Of Medium
dp = Density Of Particle      dm = Density Of Medium
Acceleration Of Gravity:
Diameter Of a Particle:
Density Of Particle:
Density Of Medium:
Viscosity Of Medium:
Terminal Velocity:
Meter/Second

Calculate Acceleration Of Gravity


g = Acceleration Of Gravity      V = Terminal Velocity
v = Viscosity Of Medium      D = Diameter Of a Particle
dp = Density Of Particle     dm = Density Of Medium
Terminal Velocity:
Diameter Of a Particle:
Density Of Particle:
Density Of Medium:
Viscosity Of Medium:
Acceleration Of Gravity:
Meter/Second2

Calculate Diameter Of a Particle


D = Diameter Of a Particle      V = Terminal Velocity
v = Viscosity Of Medium      g = Acceleration Of Gravity
dp = Density Of Particle     dm = Density Of Medium
Viscosity Of Medium:
Terminal Velocity:
Acceleration Of Gravity:
Density Of Particle:
Density Of Medium:
Diameter Of a Particle:
Meter

Calculate Density Of Medium


dm = Density Of Medium      dp = Density Of Particle
V = Terminal Velocity      v = Viscosity Of Medium
D = Diameter Of a Particle      g = Acceleration Of Gravity
Density Of Particle:
Viscosity Of Medium:
Terminal Velocity:
Acceleration Of Gravity:
Diameter Of a Particle:
Density Of Medium:
Gram/Meter3

Calculate Density Of Particle


dp = Density Of Particle      dm = Density Of Medium
V = Terminal Velocity      v = Viscosity Of Medium
D = Diameter Of a Particle      g = Acceleration Of Gravity
Density Of Medium:
Viscosity Of Medium:
Terminal Velocity:
Acceleration Of Gravity:
Diameter Of a Particle:
Density Of Particle:
Gram/Meter3

Calculate Viscosity Of Medium


v = Viscosity Of Medium      dp = Density Of Particle
dm = Density Of Medium      D = Diameter Of a Particle
g = Acceleration Of Gravity      V = Terminal Velocity
Acceleration Of Gravity:
Diameter Of a Particle:
Density Of Particle:
Density Of Medium:
Terminal Velocity:
Viscosity Of Medium:
Gram/Meter-Second

Stokes' Law is used to describe the motion of a spherical particle in a viscous fluid. It is commonly applied to calculate the terminal velocity of a particle settling under the influence of gravity.

The formula for Stokes' Law is:

Where:

  • vt = terminal velocity (m/s)
  • r= radius of the particle (m)
  • ρp = density of the particle (kg/m³)
  • ρm = density of the medium (kg/m³)
  • g= acceleration due to gravity (m/s²)
  • η= viscosity of the medium (Pa·s)

Now let's break down the calculators you requested:

1. Calculate Terminal Velocity (Fall Velocity or Settling Velocity):

To calculate terminal velocity, use the formula above. You need the radius of the particle, densities of the particle and the medium, acceleration due to gravity, and viscosity of the medium.

2. Calculate Acceleration of Gravity (g):

If you have the other values, you can rearrange the formula to solve for gg:

Where:

  • gis the acceleration due to gravity (m/s²).
  • vt is the terminal velocity (m/s).
  • r is the radius of the particle (m).
  • ρp is the density of the particle (kg/m³).
  • ρm is the density of the medium (kg/m³).
  • η is the viscosity of the medium (Pa·s).

3. Calculate Diameter of a Particle (d):

Since the radius rr is half the diameter, rearrange the formula for r:

Then multiply r by 2 to get the diameter:

4. Calculate Density of Medium (ρm):

Rearrange the formula to solve for ρm:

Where:

  • ρm is the density of the medium (kg/m³).
  • vt​is the terminal velocity (m/s).
  • r is the radius of the particle (m).
  • ρp is the density of the particle (kg/m³).
  • g is the acceleration due to gravity (m/s²).
  • η the viscosity of the medium (Pa·s).

5. Calculate Density of Particle (ρp):

Rearrange the formula for ρp:

Where:

  • ρp is the density of the particle (kg/m³).
  • ρm is the density of the medium (kg/m³).
  • vt is the terminal velocity (m/s).
  • r is the radius of the particle (m).
  • g is the acceleration due to gravity (m/s²).
  • η is the viscosity of the medium (Pa·s).

6. Calculate Viscosity of Medium (η):

Rearrange the formula to solve for viscosity:

Where:

  • η is the viscosity of the medium (Pa·s).
  • r is the radius of the particle (m).
  • ρp is the density of the particle (kg/m³).
  • ρm is the density of the medium (kg/m³).
  • g is the acceleration due to gravity (m/s²).
  • v is the terminal velocity (m/s).