Question

What pressure is needed for a 4’ cylinder to produce 2000 lbf?

Answer 1

We are given that a 4 inches cylinder is required to produce 2000 lbf of force. To determine the pressure we will use the following relationship:

$P=\frac{F}{A}$

Where:

$\begin{gathered} P=\text{ Pressure} \\ F=\text{ Force} \\ A=\text{ Area} \end{gathered}$

To determine the area we will use the formula for the area of a circle:

$A=\frac{\pi D^2}{4}$

Where:

$D=\text{ diameter}$

Replacing the diameter we get:

$A=\frac{\pi(4in)^2}{4}$

Solving the operations we get:

$A=12.6in^2$

Now we replace it in the formula for the pressure:

$P=\frac{2000lbf}{12.6in^2}$

Solving the operation:

$P=159.15\frac{lbf}{in^2}=159.15\text{ ps}i$

Therefore, the pressure needed is 159.15 psi.