Question

The maximum pressure that can be developed for a certain fluid power cylinder is 6000 psi. Compute the force it can exert if the piston diameter is 2 inches.

Answer 1

18840 lbf

Step-by-step explanation:

Considering the physical equation:

`F = PA`

It is possible to determine the force exerted by the piston if the maximum pressure developed (
`P_(max)`) and the area (
`A`) are previously known.

The area of the piston can be known through:

`A = \pi *r^(2)`

Being
`r = (d)/(2) =  1~in`

Then

`A = \pi * r^(2) = 3,14~in^(2)`

On the other hand, physical units of pressure in PSI are
`(lbf)/(in^(2))`, where the force is given in lbf.

Finally, the exerted force is:

`F = 6000~PSI \cdot 3,14~in^(2) = 18840~lbf`