Cylinder Force Calculator, Formula, Cylinder Force Calculation

Cylinder Force Calculator:

Enter the values of pressure, P_(Pa) and diameter of the piston, d_(m) to generate the value of cylinder Force, F_(N).

Cylinder Force Formula:

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

Cylinder Force, F_(N) in Newtons is calculated by dividing the product of the pressure, P_(Pa) in Pascals, diameter of the piston, d_(m) and pi by 4.

Cylinder Force, F_(N) = P_(Pa) * 3.14 * d²_(m) / 4

F_(N) = cylinder force in Newton, N.

P_(Pa) = pressure in Pascals, Pa.

d_(m) = diameter of the piston in metres, m.

Cylinder Force Calculation:

1. A hydraulic cylinder with a piston diameter of 0.1 metrs operates at a pressure of 5 MPa (5,000,000 Pa). Find the force exerted by the cylinder.

Given: P_(Pa) = 5,000,000Pa, d_(m) = 0.1m.

Cylinder Force, F_(N) = P_(Pa) * 3.14 * d²_(m) / 4

F_(N) = 5,000,000 * 3.14 * 0.1² / 4

F_(N) =39,269N.

2. Suppose a hydraulic cylinder is required to exert a force of 15,000 N, and the pressure inside the cylinder is 5MPa (or 5,000,000 Pa). Calculate the diameter of the piston required to achieve this force.

Given: P_(Pa) = 5,000,000Pa, F_(N) =15000N.

Cylinder Force, F_(N) = P_(Pa) * 3.14 * d²_(m) / 4

d²_(m) = F_(N) * 4 / P_(Pa) * 3.14

d²_(m) = 15000 * 4 / 5,000,000 * 3.14

d²_(m) = 0.0038197

d_(m) = √(0.0038197)

d_(m) = 0.062m.

How to Calculate the Force of a Cylinder