What is the approximate retraction force that a 2 inch bore cylinder with a 0.5 inch diameter rod will develop with an 80 psi air supply?

To determine the approximate retraction force of a cylinder, it's important to understand how the force is calculated based on the diameter of the cylinder and the rod, alongside the air supply pressure.

In this case, the cylinder has a 2-inch bore and a 0.5-inch rod diameter. The effective area that generates force during retraction is the area of the cylinder minus the area of the rod. First, you need to compute the areas using the formula for the area of a circle (A = π * r²).

1. Calculate the effective area:

• The diameter of the bore is 2 inches, making the radius 1 inch. The area of the bore (A_bore) is:

A_bore = π * (1 in)² = π * 1 = π square inches.

• The diameter of the rod is 0.5 inches, making the radius 0.25 inches. The area of the rod (A_rod) is:

A_rod = π * (0.25 in)² = π * 0.0625 = 0.0625π square inches.

2. Determine the area difference:

The effective area for the