Convert viscosity to density by dividing dynamic viscosity (cP or Pa·s) by kinematic viscosity (cSt), or calculate either viscosity from density.
- All Physics Calculators
- Materials Properties Unit Converters
- All Density Calculators
- Viscosity of Air Calculator
- Liquid Density Calculator
Density From Viscosity Formula
The following formula is used to calculate the Density From Viscosity.
- Where p is the Density From Viscosity (kg/m3)
- u is the dynamic viscosity (Pa-s)
- k is the kinematic viscosity (m2/s)
To calculate density, divide dynamic viscosity by kinematic viscosity for the same fluid at the same temperature and pressure. Select the other solve modes to calculate either viscosity; the entered temperature is recorded without applying a temperature correction.
| Kinematic Viscosity (cSt) | Dynamic Viscosity (cP) | Dynamic Viscosity (Pa⋅s) | Dynamic Viscosity (P) |
|---|---|---|---|
| 1 | 1.000 | 0.001 | 0.010 |
| 2 | 2.000 | 0.002 | 0.020 |
| 3 | 3.000 | 0.003 | 0.030 |
| 5 | 5.000 | 0.005 | 0.050 |
| 7.5 | 7.500 | 0.008 | 0.075 |
| 10 | 10.000 | 0.010 | 0.100 |
| 15 | 15.000 | 0.015 | 0.150 |
| 20 | 20.000 | 0.020 | 0.200 |
| 22 | 22.000 | 0.022 | 0.220 |
| 32 | 32.000 | 0.032 | 0.320 |
| 37 | 37.000 | 0.037 | 0.370 |
| 46 | 46.000 | 0.046 | 0.460 |
| 50 | 50.000 | 0.050 | 0.500 |
| 68 | 68.000 | 0.068 | 0.680 |
| 75 | 75.000 | 0.075 | 0.750 |
| 90 | 90.000 | 0.090 | 0.900 |
| 100 | 100.000 | 0.100 | 1.000 |
| 150 | 150.000 | 0.150 | 1.500 |
| 220 | 220.000 | 0.220 | 2.200 |
| 320 | 320.000 | 0.320 | 3.200 |
| * Rounded to 3 decimals. Uses an idealized density of 1.00 g/cm³, not an exact water-property value at 20°C. 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:
- First, determine the dynamic viscosity (Pa-s).
- The dynamic viscosity (Pa-s) is given as 500.
- Next, determine the kinematic viscosity (m2/s).
- The kinematic viscosity (m2/s) is provided as 250.
- 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/m3)
Example Problem #2:
For this problem, the variables needed are provided below:
dynamic viscosity (Pa-s) = 250
kinematic viscosity (m2/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 = ?
