Pressure calculator
Calculator finds out pressure based on force and area.

Beta version#

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Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

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Calculations data - enter values, that you know here#

Pressure (p)
Force (F)
Surface area (A)

Units normalization#

Force (F)Show source2000 [N]2000\ \left[N\right]
Surface area (A)Show source3000 [m2]3000\ \left[m^2\right]
Pressure (p)

Result: pressure (p)#

Used formulaShow sourcep=FAp=\frac{F}{A}
ResultShow source23\frac{2}{3}
Numerical resultShow source0.6666666666666666666666666666666666666666666666666666666666666667 [Pa]0.6666666666666666666666666666666666666666666666666666666666666667\ \left[Pa\right]
Result step by step
1Show source20003000\frac{2000}{3000}The original expression-
2Show source20003000\frac{\cancel{2000}}{\cancel{3000}}Cancel terms or fractions
  • Dividing a number by itself gives one, colloquially we say that such numbers "cancel-out": aa=1 \frac{\cancel{a}}{\cancel{a}} = 1
  • to find-out the simplest form of fraction we can divide the numerator and denominator by the greatest common divisor (GCD) of both numbers.
3Show source23\frac{2}{3}ResultYour expression reduced to the simplest form known to us.
Numerical result step by step
1Show source23\frac{2}{3}Divided fraction-
2Show source0.66666666666666666666666666666666666666666666666666666666666666670.6666666666666666666666666666666666666666666666666666666666666667ResultYour expression reduced to the simplest form known to us.
Units normalization
Show source0.6666666666666666666666666666666666666666666666666666666666666667 [Pa]0.6666666666666666666666666666666666666666666666666666666666666667\ \left[Pa\right]

Some facts#

  • Pressure determines the force that works perpendicular to the surface. Mathematically, we can write it down in the following way:
    p=FpSp = \dfrac{F_p}{S}
    • pp - pressure,
    • FpF_p - component of force acting perpendicular to the surface,
    • SS - the area on which force is acting.
  • Pressure is scalar.
  • The pressure is usually marked with the letter p or P.
  • The pressure prevailing in the gas-filled vessel is the average force acting on the walls of this vessel. In this sense, the pressure is thus the statistical property.
  • The basic pressure unit in the SI system is pascal, which is equal to the pressure corresponding to the force of one newton acting on the surface of one square meter:
    1Pa=1N1m21 Pa = \dfrac{1 N}{1 m^2}
  • The relationship between pressure, temperature, and volume of perfect gas (i.e. one where the particles do not interact with each other) is described by the Clapeyron's equation:
    pV=nRTpV = nRT

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