Using Pascal's law, what is the force produced when multiplying 5 inches by 90 PSI?

To understand the result of the question using Pascal's law, it is important to recognize how pressure and area are related to force. Pascal's law states that in a closed system, any change in pressure applied to a fluid is transmitted undiminished throughout the fluid. The fundamental formula to determine force is:

Force = Pressure × Area

In this scenario, pressure is given as 90 PSI (pounds per square inch) and the area is derived from the diameter, which is specified as 5 inches. To calculate the area of a circle (if we assume the pressure is applied uniformly over a circular area), we use the formula for the area of a circle, A = πr². Here, the radius (r) is half of the diameter, so:

1. First, find the radius: 5 inches / 2 = 2.5 inches.

2. Next, calculate the area:

A = π (2.5 inches)² ≈ π × 6.25 square inches ≈ 19.63 square inches.

Now, using the pressure and the area, we apply the formula:

Force = 90 PSI × 19.63 square inches ≈ 1766.7 pounds.