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=(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=(\pi D^2)/(4)`

Where:

`D=\text{ diameter}`

Replacing the diameter we get:

`A=(\pi(4in)^2)/(4)`

Solving the operations we get:

`A=12.6in^2`

Now we replace it in the formula for the pressure:

`P=(2000lbf)/(12.6in^2)`

Solving the operation:

`P=159.15(lbf)/(in^2)=159.15\text{ ps}i`

Therefore, the pressure needed is 159.15 psi.