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Note: In the following problems, you will deal with both the International System of Units (SI) (N, kg, m, s, K) and the English Engineering System (lb, slug, ft, s,
Consider air at a pressure of 0.2 atm. Calculate the values of

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Chapter 7 Solutions
Fundamentals of Aerodynamics
- 9.1 through 9.4 Determine by direct integration the moment of inertia of the shaded area with respect to the y axis. 9.5 through 9.8 Determine by direct integration the moment of inertia of the shaded area with respect to the x axis. y-4h (-) Fig. P9.3 and P9.7 X y D ykx4 Fig. P9.4 and P9.8 b Xarrow_forwardFigure 1 shows the prosthesis inserted into the hip. Data Figure 2 shows the most important geometric dimensions (in centimeters) of the implant, as well as the most risky and problematic sections from a structural strength perspective. To simplify the analysis, the resistant sections will be assumed to be circular. The load will be assumed to act at the midpoint of the cylinder, as shown in Figure 2, with an additional safety condition of five times the person's weight. The person in question weighs 894 N (approximately 91.2 kg). The characteristics of the possible materials to be used are found in Table 1. Note that Chromium-cobalt casting has a different behavior in compression and tension. Determine The maximum and minimum stresses, as well as the shear stress, to which the part is subjected in the A-A plane. Assume it is a cylinder with a diameter of 12.7 mm. Draw the Mohr circle for the stressed state using software. Select the material for the prosthesis, which must be…arrow_forwardhow to solve this questionarrow_forward
- A cylindrical pin made from 1010 steel and a diameter of 0.188 inches is partially placed in a bushing as seen in the image. The bushing is rigid and does not move. If a 50 lb weight is dropped on the 0.2 inch end of the pin, how high up does the weight have to be dropped from to cause the pin to yield? I have been told the 0.26" answer the last time I posted this is incorrectarrow_forward5 0/20 points awarded Scored A pressurized tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere. The water level is 2.5 m above the outlet. The tank air pressure above the water level is 250 kPa (absolute), while the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine the initial discharge rate of water from the tank. (Round the final answer to three decimal places.) -Air 250 kPa dcm 2.5 m The initial discharge rate of water from the tank is determined to be 18.683 m³/s.arrow_forward10 0/10 points awarded Scored A 3-m-high large tank is initially filled with water. The tank water surface is open to the atmosphere, and a sharp-edged 10-cm-diameter orifice at the bottom drains to the atmosphere through a horizontal 80-m-long pipe. The total irreversible head loss of the system is determined to be 1.500 m. In order to drain the tank faster, a pump is installed near the tank exit. Determine the pump head input necessary to establish an average water speed of 6.5 m/s when the tank is full. Disregard the effect of the kinetic energy correction factors. (Round the final answer to three decimal places.) Water 3 m 10 cm 80 m The required useful pump head is 1.200 m.arrow_forward
- (30 minutes) Consider a converging-diverging nozzle, which is open to stagnant atmosphere at the inlet and connected to an infinitely large low-pressure reservoir downstream at the outlet (see the figure below). The ambient pressure (pa) is 1 bar, the throat cross section area is 0.1 m². Imagine that the pressure in the low-pressure reservoir (p₁) can be changed to regulate the flow in the nozzle. Me Pa=1 bar A₁ =0.1 m² Ae Pv Pe Low pressure reservoir a) It is known that when p₁ = 0.8 bar, the nozzle is choked and the flow in the converging- diverging nozzle is subsonic. Find the exit cross-section area (Ae), the static pressure at the exit (pe) and the Mach number at the exit (Me) for this case. b) Determine the range of vacuum pressure (pv) for which there is a normal shock wave in the diverging section of the nozzle. c) Imagine that a pitot-tube is inserted at the exit of the nozzle. What would be the total pressure reading when: (1) p₁ = 0.8 bar; (2) p, is adjusted such that the…arrow_forward1. Five forces are applied to the solid prism shown in Figure 1. Note that the 30 lb forces are in the plane of the prism's surface and are not vertical. Also note that the end of the prism is not an equilateral triangle. a) Compute the magnitude of the couple moment of the force couple formed by the 30 lb forces. b) Replace all the forces with an equivalent resultant force and couple moment acting at point A, Rand G. Give your answers as Cartesian vectors. Figure 1: 6 in a) G b) R GA B 5 in 5 in 4 in 40 lb 4 in 40 lb A 50 lb 30 lb 5 in E 5 in Yarrow_forward4) Calculate the thrust reduction due to the existence of a shock wave at the exit of the rocket no: given below, compared to the no shock case. P=200kPa I M=1.4 MCI M = 1 T=mle A₂ = 3m²arrow_forward
- 3. (30 minutes) Find the mass flow rate for the converging-diverging nozzle below. A₁=0.1 m² V₁ = 150 m/s P₁ = 100 kPa T₁ = 20°C M>1arrow_forwardQ4. Derive the y-momentum equation for a thin laminar boundary layer using the general form of the y-momentum equation for two-dimensional and steady flow given below. до pu +pv- Əx до др მ dy ду +(x+7) ди дхarrow_forward1) Solve the problem using the superposition method. Check that your answer is correct.For steel, use a Poisson's ratio of 0.3.arrow_forward
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