What is the total force exerted on a 4-inch cylinder at 1800 PSI?

What is the total force exerted on a 4-inch cylinder at 1800 PSI?

• A. 22.608 lbs. of force
• B. 12.56 lbs. of force
• C. 35.76 lbs. of force
• D. 15.78 lbs. of force

Answer: (A)

To determine the total force exerted on a 4-inch cylinder at a pressure of 1800 PSI, we first need to calculate the area of the cylinder and then use the formula that relates pressure, force, and area. The area (A) of a circle is calculated using the formula: \[ A = \pi r^2 \] First, we need to find the radius of the cylinder. Since the diameter is 4 inches, the radius will be: \[ r = \frac{4 \text{ inches}}{2} = 2 \text{ inches} \] Now, converting the radius to feet (since pressure in PSI is often related to square feet for total force calculations) involves knowing there are 12 inches in a foot: \[ r = \frac{2 \text{ inches}}{12} = \frac{1}{6} \text{ feet} \] Next, we calculate the area in square feet: \[ A = \pi \left(\frac{1}{6}\right)^2 = \pi \left(\frac{1}{36}\right) = \frac{\pi}{36} \text{ square feet} \] Now, substitute this area into the formula for

To determine the total force exerted on a 4-inch cylinder at a pressure of 1800 PSI, we first need to calculate the area of the cylinder and then use the formula that relates pressure, force, and area.

The area (A) of a circle is calculated using the formula:

[ A = \pi r^2 ]

First, we need to find the radius of the cylinder. Since the diameter is 4 inches, the radius will be:

[ r = \frac{4 \text{ inches}}{2} = 2 \text{ inches} ]

Now, converting the radius to feet (since pressure in PSI is often related to square feet for total force calculations) involves knowing there are 12 inches in a foot:

[ r = \frac{2 \text{ inches}}{12} = \frac{1}{6} \text{ feet} ]

Next, we calculate the area in square feet:

[ A = \pi \left(\frac{1}{6}\right)^2 = \pi \left(\frac{1}{36}\right) = \frac{\pi}{36} \text{ square feet} ]

Now, substitute this area into the formula for