a) A fluid is weighed in the lab. It is found that 2.1 U.S. gallons of the fluid weighs 155.2 ounces. What is the fluid’s density in kg/m3? b) A formula to estimate the volume rate of flow, Q, flowing over a dam of length, B, is given by the equation: Q = 3.09BH^(3/2). Where H is the depth of the water above the top of the dam (called the head). This formula gives Q in ft 3 /s when B and H are in feet. Is the constant, 3.09, dimensionless? Would this equation be valid if units other than feet and seconds were used? c) A tank contains 500 kg of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank.

Air hair Sea Tresh water water Mercury Figure 1 Figure 1 shows a U-tube manometer that connects two pipelines that runs in parallel each other. One pipeline has fresh water flowing through it while the other transports seawater. i) Calculate the difference in pressure between the two pipelines. Give your answer in the typical unit for pressure. ii) From your answer in (i), state which pipeline has more pressure? Use pseawater = 1035 kg/m³, pHg= 13600 kg/m², híg= 10 cm, hw = 60 cm and hsea = 40 cm. Also, you may neglect the density of air since its effects are minimal in comparison to seawater or fresh water. Make all necessary assumptions and state them clearly.

Ken discovered an element (11.15 kN/m3) that flow through a 215-mm-diameter pipe at a mean velocity of 9 m/s. Determine its mass flow rate in slug/s. Use 1 slug = 32.2 lb and 1 kg = 2.2 lb.

2. Freshwater and saltwater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer. Determine the pressure difference between the two pipelines. Take the density of seawater at that location to be p kg = 1035 m3 · - Air Fresh- water 40 cm Sea- water 70 cm 60 cm 10 cm -Mercury