Enter the mass (kg), the velocity (m/s), length (m), and the area (m^2) into the calculator to determine the Muzzle Pressure. 

Muzzle Pressure Formula

The following formula is used to calculate the Muzzle Pressure.

Pmuzzle = m*V^2 / (2*A*L)

  • Where Pmuzzle is the Muzzle Pressure (Pa)
  • m is the mass (kg) 
  • V is the velocity (m/s) 
  • A is the area (m^2) 
  • L is the length (m)

How to Calculate Muzzle Pressure?

The following example problems outline how to calculate the Muzzle Pressure.

Example Problem #1

  1. First, determine the mass (kg). In this example, the mass (kg) is given as .000154 .
  2. Next, determine the velocity (m/s). For this problem, the velocity (m/s) is given as  1500 .
  3. Next, determine the area (m^2). In this case, the area (m^2) is found to be .25.
  4. Next, determine the length. In this case, this is .5m.
  5. Finally, calculate the Muzzle Pressure using the formula above: 

Pmuzzle = m*V^2 / (2*A*L)

Inserting the values from above and solving yields: 

Pmuzzle = .000154*1500^2 / (2*.25*.5) = 1386 (Pa)


Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:

mass (kg) = .00006

velocity (m/s) = 2000

area (m^2) = .15

length (m) = .6

Enter these given values yields: 

Pmuzzle = .00006*2000^2 / (2*.15*.6) = 1333.33 (Pa)