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.
Step-by-step 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.