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An object falls in air down a long vertical chute. The speed of the object is constant at 3 m/s. The flow pattern around the object is shown. The static pressure is uniform across sections ① and ②; pressure is atmospheric at section ①. The effective flow area at section ② is 20 percent of the chute area. Frictional effects between sections ① and ② are negligible. Evaluate the flow speed relative to the object at section ②. Calculate the static pressure at section ②. Determine the mass of the object.
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Chapter 9 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
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- Part 1 The storage tank contains lubricating oil of specific gravity 0.86 In one inclined side of the tank, there is a 0.48 m diameter circular inspection door, mounted on a horizontal shaft along the centre line of the gate. The oil level in the tank rests 8.8 m above the mounted shaft. (Please refer table 01 for relevant SG, D and h values). Describe the hydrostatic force and centre of pressure with the aid of a free body diagram of the inspection door. Calculate the magnitude of the hydrostatic force and locate the centre of pressure. 45° Estimate the moment that would have to be applied to the shaft to open the gate. Stop B If the oil level raised by 2 m from the current level, calculate the new moment required to open the gate. Figure 01arrow_forwardFrom thermodynamics please fill in the table show all work step by steparrow_forwardThe 150-lb skater passes point A with a speed of 6 ft/s. (Figure 1) Determine his speed when he reaches point B. Neglect friction. Determine the normal force exerted on him by the track at this point. 25 ft B = 4x A 20 ft xarrow_forward
- A virtual experiment is designed to determine the effect of friction on the timing and speed of packages being delivered to a conveyor belt and the normal force applied to the tube. A package is held and then let go at the edge of a circular shaped tube of radius R = 5m. The particle at the bottom will transfer to the conveyor belt, as shown below. Run the simulations for μ = 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6 and determine the time and speed at which the package is delivered to the conveyor belt. In addition, determine the maximum normal force and its location along the path as measured by angle 0. Submit in hardcopy form: (0) Free Body Diagram, equations underneath, derivations (a) Your MATLAB mfile (b) A table listing the values in 5 columns: μ, T (time of transfer), V (speed of transfer), 0 (angle of max N), Nmax (max N) (c) Based on your results, explain in one sentence what you think will happen to the package if the friction is increased even further, e.g. μ = 0.8. NOTE: The ODE is…arrow_forwardPatm = 1 bar Piston m = 50 kg 5 g of Air T₁ = 600 K P₁ = 3 bar Stops A 9.75 x 10-3 m² FIGURE P3.88arrow_forwardAssume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Harrow_forward
- Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz Figure 1: Single-degree-of-freedom system in Problem 1. Please compute the following considering the steady-state response of the SDOF system. Do not consider the transient response unless it is explicitly stated in the question. (a) The natural circular frequency and the natural period of the SDOF. (10 points) (b) The maximum displacement of…arrow_forwardAssume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz Figure 1: Single-degree-of-freedom system in Problem 1. Please compute the following considering the steady-state response of the SDOF system. Do not consider the transient response unless it is explicitly stated in the question. (a) The natural circular frequency and the natural period of the SDOF. (10 points) (b) The maximum displacement of…arrow_forwardPlease solve 13 * √(2675.16)² + (63.72 + 2255,03)² = 175x106 can you explain the process for getting d seperate thank youarrow_forward
- If the 300-kg drum has a center of mass at point G, determine the horizontal and vertical components of force acting at pin A and the reactions on the smooth pads C and D. The grip at B on member DAB resists both horizontal and vertical components of force at the rim of the drum. P 60 mm; 60 mm: 600 mm A E 30° B C 390 mm 100 mm D Garrow_forwardThe design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that the angle D through which end D of shaft CD rotates not exceed 1.5°. Knowing that G = 77.2 GPa, determine the required diameter of the shafts. 40 mm 400 mm 100 mm 600 mm T-1000 N-m Darrow_forwardAssume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hzarrow_forward
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