Enter the dynamic viscosity (Pa-s) and the kinematic viscosity  (m^2/s) into the Density From Viscosity Calculator. The calculator will evaluate and display the Density From Viscosity. 

Viscosity to Density Calculator

Enter any 2 values to calculate the missing variable

Density From Viscosity Formula

The following formula is used to calculate the Density From Viscosity. 

p = u / k 
  • Where p is the Density From Viscosity (kg/m^3)
  • u is the dynamic viscosity (Pa-s) 
  • k is the kinematic viscosity  (m^2/s) 

To calculate the density from viscosity, divide the dynamic viscosity by the kinematic viscosity.

Kinematic Viscosity to Dynamic Viscosity Conversion (Assumes water, ρ = 1.00 g/cm³)
Kinematic Viscosity (cSt) Dynamic Viscosity (cP) Dynamic Viscosity (Pa⋅s) Dynamic Viscosity (P)
11.0000.0010.010
22.0000.0020.020
33.0000.0030.030
55.0000.0050.050
7.57.5000.0080.075
1010.0000.0100.100
1515.0000.0150.150
2020.0000.0200.200
2222.0000.0220.220
3232.0000.0320.320
3737.0000.0370.370
4646.0000.0460.460
5050.0000.0500.500
6868.0000.0680.680
7575.0000.0750.750
9090.0000.0900.900
100100.0000.1001.000
150150.0000.1501.500
220220.0000.2202.200
320320.0000.3203.200
* Rounded to 3 decimals. Assumes water at 20°C (ρ = 1.00 g/cm³). Formula: μ = ν × ρ. Unit notes: 1 cP = 0.001 Pa⋅s, 1 P = 0.1 Pa⋅s, 1 cSt = 1 mm²/s.

How to Calculate Density From Viscosity?

The following example problems outline how to calculate Density From Viscosity.

Example Problem #1:

  1. First, determine the dynamic viscosity (Pa-s).
    1. The dynamic viscosity (Pa-s) is given as: 500.
  2. Next, determine the kinematic viscosity  (m^2/s).
    1. The kinematic viscosity  (m^2/s) is provided as: 250.
  3. Finally, calculate the Density From Viscosity using the equation above: 

p = u / k 

The values given above are inserted into the equation below:

p = 500 / 250  = 2 (kg/m^3)


Example Problem #2: 

For this problem, the variables needed are provided below:

dynamic viscosity (Pa-s) = 250

kinematic viscosity  (m^2/s) = 965

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer. p = u / k  = ?