CEE 313 Hydraulics HW #1 Due: 1/30/2024 *** Document your sources of information. For example, if you need the specific gravity of glycerin to solve a problem and you find the specific gravity of glycerin in a textbook, then please provide documentation of where you found the information. *** Student Learning Outcome #1 ABET Student Outcome #land #7 1. Density, Specific Weight, Specific Gravity You have two cubic feet of water and mercury on 1) earth, 2) moon, and 3) mercury as shown in the table below. Complete the table, that is, fill in each of the blank cells in the table. Use the English system of units. List any assumptions needed to solve the problem. Water on Earth Water on Moon Fluid & Location Water on Mercury Mercury Mercury on Earth on Moon Mercury on Mercury Unites Slugs Mass Density Specific Weight Specific Gravity Weight Lbs 2. Viscosity Compute the force necessary to lift a 2' x 2' x 2' cube (S = 2.35) through Castor Oil at a constant velocity of 1.5 ft/sec. The cube is housed within a larger container as shown in Figure 1 below. Note that this is a top view. Assume that the temperature of the Castor Oil is 90 oF. You may neglect drag forces in your analysis. 2' x 2' x 2' x Cube 2.08 Ft S = 2.35 2.08 Ft Figure 1. 1 3. Viscosity It costs money to pump liquids. Crude oil at a temperature of 50 °F passes through a pipeline. The cost of heating one barrel of crude oil is $30/10 °F. What must the cost/barrel of oil be to make increasing the temperature of the crude oil by 10 degrees a cost-effective proposition? Assume that the pump discharge pressure and friction along the pipe walls do not change if the temperature of the crude oil changes (though in reality they really do change!). Further, assume that any pipe expansion due to thermal increase is negligible. One barrel of oil holds 42 gallons. 4. Vapor Pressure At what temperature would water boil during a very bad storm when the atmospheric pressure is 27 inches of mercury? Is 27 of inches mercury possible? 5. Pressure Find the following pressure values if you have a container of gas at a pressure of 150 psi: a) Pressure in N/m² b) Pressure in KPa c) Pressure in atmospheres d) Pressure head in feet of water e) Pressure head in inches of mercury f) Pressure in bars 6. Surface Tension Compute the capillary rise for each of the tubes shown in the table below. Assume that the liquid in the tubes is water at a temperature of 69 °F. Tube Diameter Capillary Rise (In) (In) 0.086 0.058 0.032 2

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1. Density, Specific Weight, Specific Gravity You have two cubic feet of water and mercury on 1) earth, 2) moon, and 3) mercury as shown in the table below. Complete the

table, that is, fill in each of the blank cells in the table. Use the English system of units. List any assumptions needed to solve the problem. Unites Mass Density Specific Weight Specific Gravity Weight Water on Earth Slugs Lbs Water on Moon Fluid & Location Water on Mercury Mercury Mercury on Earth on Moon Mercury on Mercury