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

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

• A. 90 LBS
• B. 450 LBS
• C. 500 LBS
• D. 50 LBS

Answer: (B)

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.

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.