If a boiler has a pressure of 270 psi acting on a 2-inch diameter safety valve disc, what is the total force?

If a boiler has a pressure of 270 psi acting on a 2-inch diameter safety valve disc, what is the total force?

• A. 848.2 lbs
• B. 617.8 lbs
• C. 972.6 lbs
• D. 1,200 lbs

Answer: (A)

To determine the total force acting on the safety valve disc of a boiler, the formula to use is: \[ \text{Force} = \text{Pressure} \times \text{Area} \] First, we need to calculate the area of the safety valve disc. The diameter is given as 2 inches, which allows us to calculate the radius: \[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{2 \, \text{inches}}{2} = 1 \, \text{inch} \] Next, we calculate the area of the disc using the formula for the area of a circle: \[ \text{Area} = \pi r^2 \] Plugging in the radius: \[ \text{Area} = \pi (1 \, \text{inch})^2 = \pi \, \text{square inches} \] Using the approximate value of \(\pi\) as 3.14: \[ \text{Area} \approx 3.14 \, \text{square inches} \] Now, the pressure is given as 270 psi. We can now calculate the force: \[ \text{

To determine the total force acting on the safety valve disc of a boiler, the formula to use is:

[ \text{Force} = \text{Pressure} \times \text{Area} ]

First, we need to calculate the area of the safety valve disc. The diameter is given as 2 inches, which allows us to calculate the radius:

[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{2 , \text{inches}}{2} = 1 , \text{inch} ]

Next, we calculate the area of the disc using the formula for the area of a circle:

[ \text{Area} = \pi r^2 ]

Plugging in the radius:

[ \text{Area} = \pi (1 , \text{inch})^2 = \pi , \text{square inches} ]

Using the approximate value of (\pi) as 3.14:

[ \text{Area} \approx 3.14 , \text{square inches} ]

Now, the pressure is given as 270 psi. We can now calculate the force:

[ \text{