The total force on a safety valve with a 2 ½ inch diameter at 15 psi is what?

The total force on a safety valve with a 2 ½ inch diameter at 15 psi is what?

• A. 50.1025
• B. 73.63125
• C. 100.8782
• D. 150.75

Answer: (B)

To determine the total force on a safety valve, we can use the formula: Total Force = Pressure x Area First, we need to calculate the area of the safety valve given its diameter. The area \( A \) of a circle can be calculated using the formula: \[ A = \pi \times \left(\frac{d}{2}\right)^2 \] Where: - \( d \) is the diameter of the safety valve (2.5 inches in this case). Converting the diameter to radius: - Radius \( r = \frac{2.5}{2} = 1.25 \) inches. Now calculating the area: \[ A = \pi \times (1.25)^2 \] \[ A \approx 3.14159 \times 1.5625 \] \[ A \approx 4.9087 \text{ square inches} \] Next, we need to convert the pressure from psi (pounds per square inch) to the total force: Given: - Pressure = 15 psi Now, we can calculate the total force: \[ \text{Total Force} = 15 \, \text{psi} \times 4.9087

To determine the total force on a safety valve, we can use the formula:

Total Force = Pressure x Area

First, we need to calculate the area of the safety valve given its diameter. The area ( A ) of a circle can be calculated using the formula:

[ A = \pi \times \left(\frac{d}{2}\right)^2 ]

Where:

• ( d ) is the diameter of the safety valve (2.5 inches in this case).

Converting the diameter to radius:

• Radius ( r = \frac{2.5}{2} = 1.25 ) inches.

Now calculating the area:

[ A = \pi \times (1.25)^2 ]

[ A \approx 3.14159 \times 1.5625 ]

[ A \approx 4.9087 \text{ square inches} ]

Next, we need to convert the pressure from psi (pounds per square inch) to the total force:

Given:

• Pressure = 15 psi

Now, we can calculate the total force:

[ \text{Total Force} = 15 , \text{psi} \times 4.9087