(Solved): -33E. For the fluid power system shown in Figure 425, determine the external load F that ...

-33E. For the fluid power system shown in Figure $4?25$, determine the external load $F$ that the hydraulic cylinder can sustain while moving in the extending direction. Take frictional pressure losses into account. The pump produces a pressure increase of $1000\mathrm{psi}$ from the inlet port to the discharge port and a flow rate of $40\mathrm{gpm}$. The following data are applicable: $\begin{array}{rl}\text{ kinematic viscosity of oil }& =0.001{\mathrm{ft}}^2/\mathrm{s}\\ \text{ weight density of oil }& =50\mathrm{lb}/{\mathrm{ft}}^3\\ \text{ cylinder piston diameter }& =8\mathrm{in}\\ \text{ cylinder rod diameter }& =4\text{ in }\end{array}$ All elbows are $90^{?}$ with $K$ factor $=0.75$. Pipe lengths and inside diameters are given in Figure 4-25. Figure $4?25$ System for Exercise 4-33.