Cylinder Force Calculator

Cylinder Force Calculator:

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

Enter Pressure:		Pa
Enter Diameter:		m
Result – Force:		N

Cylinder Force:

Cylinder force is the force exerted on a cylindrical object due to an applied pressure. The cylindrical shape is often used in engineering and mechanical applications to distribute forces efficiently. The force in a cylinder can be determined by considering the pressure applied on its surface area.

The surface area of the cylinder where pressure is applied is typically its cross-sectional area, which is calculated using the formula for the area of a circle, Area = π * r², where r is the radius of the cylinder. The force is the product of the pressure and the area of the cylinder’s cross-section.

The cylinder force formula assumes that the pressure is uniform across the surface and the cylinder is subjected to static loading. The pressure applied to the cylinder results in a force proportional to the surface area, and this force is crucial in determining the behavior of the cylinder in structural and mechanical systems.

In engineering contexts, the cylinder force is used in applications like hydraulic systems, pressurized vessels, and piston assemblies, where understanding the force exerted on cylindrical components is critical for safety and performance.

Force, F_(N) in Newtons equals pressure, P_(Pa) in Pascals multiplied by the cross-sectional area of the cylinder, pi * d²_(m) / 4​, where d_(m) is the diameter of the cylinder in metres.

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

F_(N) = force in Newtons, N.

P_(Pa) = pressure in Pascals, Pa.

d_(m) = diameter in metres, m.

Cylinder Force Calculation:

1. Calculate the force exerted on a cylinder with a diameter of 0.1 m and an applied pressure of 5000 Pa.

Given: P_(Pa) = 5000Pa, d_(m) = 0.1m.

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

F_(N) = 5000 * 3.14 * 0.1² / 4

F_(N) = 5000 * 3.14 * 0.01 / 4

F_(N) = 5000 * 0.007854

F_(N) = 39.27N.

2. Given a force of 500 N applied to a cylinder, calculate the pressure exerted on the cylinder if the diameter is 0.2 m.

Given: F_(N) = 500N, d_(m) = 0.2m.

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

P_(Pa) = 4 * F_(N) / pi * d²_(m)

P_(Pa) = 4 * 500 / 3.14 * 0.2²

P_(Pa) = 2000 / 0.1256

P_(Pa) = 15915.5Pa.