Question

partment vechanics Final Exam 1) A farmer is to pump water at 20°C from a river to a water storage tank nearby using a 38 m long, 0.13 m diameter plastic pipe with three flanged 90° smooth bends. The water velocity near the river surface is 1.8 m/s, and the pipe inlet is placed in the river normal to the flow direction of water to take advantage of the dynamic pressure. The elevation difference between the river and the free surface of the tank is 3.66 m. For a flow rate of 2.5 m³/min and an overall pump efficiency of 70 percent, determine the required electric power input to the pump. (The density and dynamic viscosity of water at 20°C are $\rho$ = 998 kg/m$^3$ and $\mu$ = 1.002$\times$10$^{-3}$ kg/(m$\times$s). The roughness of galvanized iron pipe is $\varepsilon$= 1.5$\times$10$^{-4}$, standard flanged 90° smooth elbows (KL = 0.3 each), and a sharp-edged exit (KL = 1.0)). (40 p.)

          partment
vechanics Final Exam
1) A farmer is to pump water at 20°C from a river to a water
storage tank nearby using a 38 m long, 0.13 m diameter plastic
pipe with three flanged 90° smooth bends. The water velocity near
the river surface is 1.8 m/s, and the pipe inlet is placed in the river
normal to the flow direction of water to take advantage of the
dynamic pressure. The elevation difference between the river and
the free surface of the tank is 3.66 m. For a flow rate of 2.5
m³/min and an overall pump efficiency of 70 percent, determine
the required electric power input to the pump. (The density and
dynamic viscosity of water at 20°C are $\rho$ = 998 kg/m$^3$ and $\mu$ = 
1.002$\times$10$^{-3}$ kg/(m$\times$s). The roughness of galvanized iron pipe is $\varepsilon$= 
1.5$\times$10$^{-4}$, standard flanged 90° smooth elbows (KL = 0.3 each),
and a sharp-edged exit (KL = 1.0)). (40 p.)

partment
vechanics Final Exam
1) A farmer is to pump water at 20°C from a river to a water
storage tank nearby using a 38 m long, 0.13 m diameter plastic
pipe with three flanged 90° smooth bends. The water velocity near
the river surface is 1.8 m/s, and the pipe inlet is placed in the river
normal to the flow direction of water to take advantage of the
dynamic pressure. The elevation difference between the river and
the free surface of the tank is 3.66 m. For a flow rate of 2.5
m³/min and an overall pump efficiency of 70 percent, determine
the required electric power input to the pump. (The density and
dynamic viscosity of water at 20°C are ρ = 998 kg/m^3 and μ =
1.002×10^-3 kg/(m×s). The roughness of galvanized iron pipe is ε=
1.5×10^-4, standard flanged 90° smooth elbows (KL = 0.3 each),
and a sharp-edged exit (KL = 1.0)). (40 p.)

Added by Brandon M.

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