Final answer:
To calculate the maximum PSI needed when the shaft diameter is 1-5/8'', you need to calculate the force exerted on the piston by multiplying the pressure and the area of the piston. First, convert the diameter to radius and then use the formula A = π * r^2 to find the area. Finally, substitute the values for the area and pressure into the formula F = P * A to calculate the maximum PSI needed.
Step-by-step explanation:
The maximum PSI needed can be determined by calculating the force exerted on the piston. In this case, the force exerted on the piston is the product of the pressure and the area of the piston. To calculate the area of the piston, we first need to convert the diameter to radius by dividing it by 2.
First, let's convert the diameter of 1-5/8'' into radius. The radius is half the diameter, so we can divide 1-5/8'' by 2 to get the radius in inches. 1-5/8'' equals 1.625 inches, so the radius is 0.8125 inches.
Now that we have the radius, we can calculate the area of the piston using the formula: A = π * r^2, where A is the area and r is the radius. Plugging in the values, we get A = π * (0.8125 inches)^2. Evaluating this expression, the area of the piston is approximately 2.072 square inches.
To calculate the force exerted on the piston, we substitute the values for the area and pressure into the formula: F = P * A, where F is the force, P is the pressure, and A is the area. Assuming we have the information about the pressure, we can calculate the maximum PSI needed.