Weee! 4.00 m Tube Ladder Sliding board Pump Water 1.00 m
A small water slide is to be installed inside a swimming
pool. See Fig. C6.3. The slide manufacturer recommends a
continuous water flow rate Q of 1.39 x 10-3 m3/s (about
22 gal/min) down the slide, to ensure that the customers do
not burn their bottoms. A pump is to be installed under the
slide, with a 5.00-m-long, 4.00-cm-diameter hose supplying
swimming pool water for the slide. The pump is
80 percent efficient and will restfully submerge 1.00 m
below the water surface. The roughness inside the hose is
about 0.0080 cm. The hose discharges the water at the top
of the slide as a free jet open to the atmosphere. The hose
outlet is 4.00 m above the water surface. For fully developed
turbulent pipe flow, the kinetic energy flux correction
factor is about 1.06. Ignore any minor losses here. Assume
that ρ = 998 kg/m3 and υ = 1.00 x 10-6 m2/s for this
water. Find the brake horsepower (that is, the actual shaft
power in watts) required to drive the pump.
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