A person is filling a knee-high bucket with water using a garden hose and holding it such that water discharges from the hose at the level of his waist. Someone suggests that the bucket will fill faster if the hose is lowered such that water discharges from the hose at the knee level. Do you agree with this suggestion? Explain. Disregard any frictional effects.

A pump takes water at 60°F from a large reservoir and delivers it to the bottom of an open elevated tank 25 ft above the reservoir surface through a 3 inch ID pipe. The inlet to the pump is located 10 ft below the water surface, and the water level in the tank is constant at 160 ft above the reservoir surface. The pump delivers 150 gal/min. If the total loss of energy due to friction in the piping system is 35 ft·lbf/lb. The pump and its motor have an overall efficiency of 55 %. i. Determine Delta Z (Z2 - Z1) in ft. ii. What is the actual shaft work needed for this particular mass flow rate in (ft-lbf)/s. iii. What is the mass flow rate of the water in lbm/s?

A cylindrical container with a massless and frictionless piston is filled with water up to a height h, as shown in the schematic. What mass m should be placed on the piston so that the water flow rate through the opened valve doubles? Consider that piston area A₁ = 0.05 m², valve area A₂ = A1/8, h = 0.9 m, Pwater = 1000 kg/m³, and g = 9.80 m/s². piston area: A₁ m = ? Т h/5 valve area: A₂

Water flows through a garden hose at a rate of 1 l/s.  The upstream diameter of the hose is 2.5 cm, and the nozzle outlet has a diameter of 1 cm.  Determine the upstream pressure (gage pressure).

If you have a flat tire and need to pump up the tire on your car with a hand pump, what force do you have to apply to the pump handle?  Assume the air pressure in your tire will be 20 lb/in2, that is 1.1 KPa (138,0000 N/m2). Let the air pump have a cross-section that is 5 cm in diameter.      It depends on the weight of the car.     About 270 N when the tire is full, not much when you start pumping on the empty tire.     About 270 N for as long as it takes from the beginning.       Just a few newtons until you are satisfied with how full the tire is because of the hand pump.

The motor of a pump consumes 1.05 hp of electricity. The pump increases the pressure of water from 120 kPa to 1100 kPa at a rate of 35 L/min. If the motor efficiency is 94 percent, the pump efficiency is (a) 0.75 (b) 0.78 (c) 0.82 (d) 0.85 (e) 0.88

60 degree F water flows through a horizontal turbine.  The water speeds at the turbine inlet and the turbine outlet are identical.  The water gage pressure at the turbine inlet is 46.4 psi while that at the outlet is 12.2 psi.  Assume water frictional losses through the turbine are negligible.  Deterimine the shaft work rate in ft*lb per slug of water passing through the turbine.  Answer with a positive number if mechanical energy goes into the water and a negative number if mechanical energy comes out of the water as it passes through the turbine.