A Cylinder Pressure Calculation

Calculation of Pressure Inside the Cylinder

Final Answer: Converting the given force to newtons and finding the area of the cylinder, we can calculate the pressure to be approximately 21,269 Pa.

Explanation:

To find the pressure inside the cylinder, we need to use the formula:

Pressure = Force / Area

In this case, the force is given as 15,000 lb. First, we need to convert this to newtons. Since 1 lb = 4.448 N, we have:

Force = 15,000 lb * 4.448 N/lb = 66,720 N

The area of the cylinder can be found using the formula for the area of a circle:

Area = pi * r^2

The radius is half of the diameter, so the radius is 2.5 in / 2 = 1.25 in. Converting this to meters gives:

Radius = 1.25 in * 0.0254 m/in = 0.03175 m

Now we can calculate the area:

Area = pi * (0.03175 m)^2

Finally, we can plug in the values:

Pressure = 66,720 N / (pi * (0.03175 m)^2)

Evaluating this expression, we find that the pressure inside the cylinder is approximately 21,269 Pa.