Answer:
18840 lbf
Explanation:
Considering the physical equation:
[tex]F = PA[/tex]
It is possible to determine the force exerted by the piston if the maximum pressure developed ([tex]P_{max}[/tex]) and the area ([tex]A[/tex]) are previously known.
The area of the piston can be known through:
[tex]A = \pi *r^{2}[/tex]
Being [tex]r = \frac{d}{2} = 1~in[/tex]
Then
[tex]A = \pi * r^{2} = 3,14~in^{2}[/tex]
On the other hand, physical units of pressure in PSI are [tex]\frac{lbf}{in^{2}}[/tex], where the force is given in lbf.
Finally, the exerted force is:
[tex]F = 6000~PSI \cdot 3,14~in^{2} = 18840~lbf[/tex]
