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Midterm - Fall 2005

# Midterm - Fall 2005 - P a 6 points(c Calculate the reading...

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ME 320 Section 02, Fall 2005 Exam 1 Closed Book (60 points) Name:______________________________ Use the water density of ρ = 1000 kg/m 3 and g = 9.8 m/s 2 for your calculations in this exam. Problem 1 (30 Points) Consider the closed tank in Fig. 1 which contains oil and water with a pressurized airspace at P a . It is found that the net outward hydrostatic force on the 30-by-40 cm panel at the bottom of the water layer is 8450 N. The specific gravity of the oil is SG = 0.75, and the specific weight of mercury γ Hg = 133 × 10 3 N/m 3 . Answer the following questions. (a) Obtain the local pressure P as function of the depth from the tank top, h (m). Draw a sketch showing the pressure distribution the 160cm-by-2m side wall of the tank. (In your answer for P, show the expression of P ( h ) in terms of the specific weight of water, , and the specific gravity of the oil, SG.) ( 10 points ) (b) What is the pressure in the airspace

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Unformatted text preview: P a ? ( 6 points ) (c) Calculate the reading H on the mercury manometer. (You can neglect the specific weight of air, air here . ) ( 6 points ) (d) What is the total hydrostatic force on the 160cm-by-2m side wall of the tank? ( 8 points ) Figure 1: A closed tank partially filled with oil and water P a Free Surface h H Problem 2 (30 points) Water is flowing into an open tank from a large water reservoir as shown in Fig. 2. The inlet of the tank is a small hole with diameter d = 10 cm. The diameter of the tank is D = 4 m, and the height of the tank is H = 10 m. The tank was originally empty. Calculate the total time required to completely fill the tank, t answer . In this problem, you can assume that water is frictionless and incompressible. State all assumptions you make here. Figure 2: Water flowing from the reservoir to the tank D d H H Tank Reservoir...
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Midterm - Fall 2005 - P a 6 points(c Calculate the reading...

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