A motor pump $($radial flow centrifugal pump$)$ provides a flow rate of $1$ m$^3/$s of water and an effective head of $110$ m$.$ The total efficiency of the motor pump is $75\%$ and the electric motor rotates at $1750$ rpm$.$ Determine the annual energy expenditure $($cost$)$ if the system operates with a load factor of $40\%$ and the unit purchase price of electric power is $$2\mathrm{.}5/$kWh$.$ Consider the water density of $1000$ kg$/$m$^3.$

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