Sewage at a certain pumping station is raised vertically by $5.49 \mathrm{m}$ at the rate of 1890000 liters each day. The sewage, of density $1050 \mathrm{kg} / \mathrm{m}^{3},$ enters and leaves the pump at atmospheric pressure and through pipes of equal diameter. (a) Find the output mechanical power of the lift station. (b) Assume an electric motor continuously operating with average power $5.90 \mathrm{kW}$ runs the pump. Find its efficiency.
Added by Thomas M.
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8 \, \text{m/s}^2$, $h = 5.49 \, \text{m}$, $V = 1890000 \, \text{L} = 1890 \, \text{m}^3$, and $t = 86400 \, \text{s}$. Plugging in the values, we get: $P = 1050 \times 9.8 \times 5.49 \times \frac{1890}{86400} = 12.6 \, \text{kW}$ Show more…
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Sewage at a certain pumping station is raised vertically by 5.49 m at the rate of 1 890 000 liters each day. The sewage, of density 1050 $\mathrm{kg} / \mathrm{m}^{3}$ , enters and leaves the pump at atmospheric pressure and through pipes of equal diameter. (a) Find the output mechanical power of the lift station. (b) Assume an electric motor continuously operating with average power 5.90 kW runs the pump. Find its efficiency.
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