$($Select the proper standard pipe size that would limit the fluid velocity to $25$

$)$ in a system operating at $30$ gpm $(114$ Lpm $)$ and

MPa $).$ The tensile strength of the pipe is $60,000(414$MPa$).$ Use a safety

factor of $6.$

Consider the system shown here. The pump output is $10$ gpm $.$ The cylinder

has a $4$ in bore and a $2$ in rod. What is the minimum flow capacity of the return

line filter?

Determine the minimum wall thickness for a thin$-$walled pipe $(D=2$ in$)$ for

a system pressure of $2000(13\mathrm{.}8$MPa$).$ The material is SAE $1020$ carbon

steel with an ultimate tensile strength of $60,000(41\mathrm{.}4$MPa$).$ Use a safety

factor of $6.$

A pipe is used in a system that has a maximum pressure of $15$ MPa $(2175$ psi $).$

The pipe has a $7\mathrm{.}5cm(2\mathrm{.}95in)$ ID and an ultimate tensile strength of $400$ MPa

$(58,000).$ Find the minimum wall thickness that can be used. Use a safety

factor of $6.$

Determine the steel tubing size required for a pressure line operating at $2000$

$(13\mathrm{.}8$MPa$)$ and $10gpm(37\mathrm{.}85Lpm).$ Use a safety factor of $6,$ and assume

a tensile strength of $55,000(37\mathrm{.}9$MPa$).$

Consider a piston$-$type accumulator as shown here. The gas precharge $($initial

pressure with no fluid in the accumulator$)$ is $200(1380$kPa$).$ Determine

the usable volume of oil the accumulator can provide if the oil pressure must

be between $500$ and $700$ psi $(3450$ and $4826$ kPa $).$ Consider both isothermal

and adiabatic processes.