A hydraulic pump is producing $).$ It has been determined that

the fluid velocity in the pressure line of the system should be between $20$ and

to $7\mathrm{.}6\frac{m}{s}).$ Determine the minimum and maximum pipe diameters

that could be used.

Barlow's formula is

$S_k=\frac{pD}{2t}$

where

$S_u=$ ultimate tensile strength $(psi,$ kPa, $or$ MPa$)$

$p=$ maximum system pressure $(,$kPa,MPa$)$

$D=$ inside diameter $(in,cm,ormm)$

$t=$ wall thickness $(in,cm,ormm).$

The maximum allowable hoop stress $(S_{\text{A}\text{L}\text{L}})$ is found by applying a safety

factor $(N)$ between $4$ and $8,$ depending on the application, so that

$S_{\text{A}\text{L}\text{L}}=\frac{S_u}{N}$