Enter the total mass (kg) and the surface area (m^2) into the calculator to determine the Pressure From Mass. 

Mass to Pressure Calculator

Enter any 2 values to calculate the missing variable

Pressure From Mass Formula

The following formula is used to calculate the Pressure From Mass. 

Pm = TM * g / SA
  • Where Pm is the Pressure From Mass (Pa)
  • TM is the total mass (kg) 
  • SA is the surface area (m^2) 

To calculate pressure from mass, multiply the mass by the acceleration due to gravity, then divide by the area.

Mass to Pressure Conversion Table (A = 1.00 m², g = 9.81 m/s²)
Mass (kg) Pressure (Pa) Pressure (psi)
0.10.9810.000142
0.252.4530.000356
0.54.9050.000711
0.757.3580.001067
19.8100.001423
219.6200.002846
329.4300.004268
549.0500.007114
7.573.5750.010671
1098.1000.014228
12.5122.6250.017785
15147.1500.021342
20196.2000.028456
25245.2500.035571
30294.3000.042685
40392.4000.056913
50490.5000.071141
75735.7500.106712
100981.0000.142282
2001962.0000.284564
*Assumes surface area A = 1.00 m² and g = 9.81 m/s². Formula: P = (m × g) / A. Conversion: 1 psi = 6894.76 Pa.

How to Calculate Pressure From Mass?

The following two example problems outline how to calculate the Pressure From Mass.

Example Problem #1:

  1. First, determine the total mass (kg). In this example, the total mass (kg) is given as 52.
  2. Next, determine the surface area (m^2). For this problem, the surface area (m^2) is given as 50.
  3. Finally, calculate the Pressure From Mass using the equation above: 

Pm = TM * g / SA

Inserting the values from above and solving the equation: 

Pm = 52 * 9.81 / 50 = 10.202 (Pa)

Example Problem #2: 

Using the same process as above, first define the variables required by the formula. In this case, these values are:

total mass (kg) = 60

surface area (m^2) = 81

Entering these values yields:

Pm = 60 * 9.81 / 81 = 7.266 (Pa)