16. Evaluate \log _{\frac{3}{4}}\left(\frac{1024}{243}\right)^{-2} \text { b) Evaluate } \log _{\frac{1}{9}}(\sqrt[3]{81})^{2}

Q1. Calculate capillary rise/fall in a glass tube 2 mm diameter when immersed in (a) water (b) mercury.Both the liquids are at 20°C and the surface tension values at this temperature for water and mercury are 0.072 N/m and 0.052 N/m respectively. The specific gravity of mercury is 13.6. The contact angle of water and mercury are 0° and 130° respectively.

1-90 A hydraulic lift is to be used to lift a 1900-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm.Determine the diameter of the piston on which the weight is to be placed.

Problem #1Figure 1 shows the pipe network that you will analyze using EPANET and the Hazen-Williams equation in this problem. The Hazen-Williams coefficient (CHw) is 130 for all pipe in the network. Water enters the network at junctions A and F and exits the system at junctions C, D,and H. Table 1 tabulates the required flow rates into and out (i.e., demands) of the network. The length and diameter of each of the pipes in the network are summarized in Table 1. a) Provide a figure showing the pipe network you created in EPANET where the junction and pipe IDs are displayed. On the same figure, display the flow rates and corresponding flow directions (i.e., arrows). Use a reasonable color scheme for the flow rates through the pipes. b) Using the report generated in EPANET, tabulate the flow rates (L/s), velocities (m/s), and unit head losses (m/km) in each of the pipes in the network. c) Using the report generated in EPANET, tabulate the pressure head (m) at each of the nodes inthe pipe network.

1. (25 pts) A centrifugal pump with a 7 inch diameter impeller has the performance characteristics shown in Figure 1. The pump is used to pump water at 100 deg F, and the pump is located 10 ft above the open water surface. With the flow rate is 200 gpm, the head loss between the water surface and the pump inlet is 6 ft of water. (a) (5 pts) Draw a sketch for this problem (b) (10 pts) Determine the available NPSH for this problem (c) (5 pts) Do you expect cavitation to be a problem? Explain. (d) (5 pts) If the owner were to move the pump to a new location 15 ft above the surface, would thismake the problem better or worse? Explain.

5.11.4. A pump delivers water (68°F) from reservoir A to reservoir B, a water surface rise of 100 ft. The old 1.0-ft-diameter pipe connecting the two reservoirs has a length of 7800 ft and a Hazen Williams coefficient of 90. The pump characteristics are available in Figure P5. 11.4. Perform the following tasks. (1) Compute the system head for Q=0 to 1000 gpm with an interval of 200 gpm by completing the table. Show your sample calculations for one Q value at least. [8] (2) Plot Q vs. HSH by overlaying them on Fig. P5. 11.4 and clearly mark the match point. Directly use Figure P5. 11.4 attached below.[5] Use the graph completed in (2) for the following tasks (3)to (6). Clearly mark your values in the graph directly and interpolate the values if needed. (3) Determine the flow rate. [2] (4) Determine the pump head. [2] (5) Determine the brake horse power. [2] (6) Determine the pump efficiency. [2] (7) Compute the pump output power. [2] (8) Verify that the pump efficiency obtained in (6) corresponds with the pump efficiency obtained from the efficiency equation. [2]

3.5.3. A horizontal, commercial steel pipe, 1.5 m in diameter, carries 3.5 m³/s of water at 20°C.Calculate the pressure drop in the pipe per kilo meter length. Assume that minor losses are negligible.

5.9.2.A pump delivers water at 20°C between a reservoir and a water tank 20 m higher. The suction side contains an entrance strainer (Kstrainer = 2.5), three of 90° bends with R/D = 2 (see pg 57 of Chap 3 slides for minor loss coefficient for bend), and a ductile-iron pipe with 10 m length and 25 cm diameter. The discharge side includes a 160-m-long, ductile-iron pipe, 20 cm in diameter, and a gate valve. The friction factor (f) for the whole pipeline is 0.02,the net positive suction head is given as 7.5 m, and the design discharge is 170 L/sec. Determine the allowable elevation difference between the pump and the reservoir water surface to avoid cavitation. [12]

a) Give a graphic representation of the 6 different types of pressure control valves. (4 marks) b) The circuits below are an illustration of the working of a pressure reducing valve and a high-low system employing an unloading valve.Explain the operation of the valves. (8 marks)

3.3.6. Water flowing in a positive x-direction passes through a 90° elbowin a 6-in.-diameter pipeline and heads in a positive y-direction (FigureP3.3.6). If the flow rate is 3.05 ft³/s, compute the magnitude and directionof the reaction force (F). The pressure upstream of the elbow is 15.1 psi;just downstream it is 14.8 psi.

Q2. A 75 m long cast iron pipe, 15 cm in diameter, connects two tanks (open to the atmosphere) that have a water surface elevation difference of 5 m. The entrance of the pipe from the supply tank is square edged, and the pipe contains a 90° bend with a sharp, 15 cm radius. Determine the flow rate in the \text { pipe. Use } f=\frac{0.25}{\left[\log \left(\frac{e / D}{3.7}+\frac{6.71}{N \cdot 9.9}\right)\right]^{2}}