Enter the gauge pressure (air pressure), and the full bore piston diameter into the calculator to determine the cylinder force.

## Cylinder Force Formula

The following formula is used to calculate the force exerted by a pneumatic or hydraulic cylinder

F = P * pi * d^{2}/ 4

- Where F is the force exerted by the cylinder (N)
- P is the gauge pressure (air pressure) (N/m^2)
- d is the full bore piston diameter (M)

## Cylinder Force Definition

**What is a pneumatic cylinder? **A pneumatic cylinder is a device that converts pressure delivered by air into an output force. That output force is considered the cylinder force.

## Example Problem

How to calculate a cylinder force?

**First, determine the gauge pressure.**For this example, the air pressure supplied to the cylinder is 125 psi (pounds per square inch)

**Next, determine the piston diameter.**The inner bore diameter in this example is 5 inches.

**Finally, calculate the cylinder force.**Using the formula, the cylinder force is calculated to be: 125*3.14159*(5^2)/4 = 2454.36 lbf.

## FAQ

**Does cylinder force change with size? **As the diameter of a cylinder increases, the force generated increases with the square of the diameter increase. This means that going from a 1-inch diameter cylinder to a 2-inch diameter cylinder increases the force by 4 times.

**Does cylinder force change with air pressure change? **The force generated by a cylinder is linearly proportional to the air pressure. A 1 psi increase in air pressure generates a 1 lbf increase in force.