An airplane is flying through the air at 280 mph at an altitude of 8,000 ft. Assuming standard atmospheric conditions, what is the pressure at the leading edge of the wing at a point where the relative fluid velocity is zero (stagnation point)?
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An airplane is flying through the air at 280 mph at an altitude of 8,000 ft. Assuming standard atmospheric conditions, what is the pressure at the leading edge of the wing at a point where the relative fluid velocity is zero (stagnation point)?
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- A level (horizontal) pipe contains a non-viscous, incompressible fluid with a density 1200 kg/m3 that is flowing steadily. At one position within the pipe, the pressure is 300 x 103 N/m2 and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 x 103 N/m2. What is the speed of the flow at this second position?Suppose you measure a standing person’s blood pressure by placing the cuff on his leg 0.495 m below the heart. For this problem, assume that there is no loss of pressure due to resistance in the circulatory system (a reasonable assumption, since major arteries are large). The density of blood is 1.05 × 103 kg/m3. Calculate the systolic pressure you would observe, in units of mm Hg, if the pressure at the heart was 120 over 80 mm Hg. Note that the to (and greater) number is systolic pressure. Ps? Calculate the diastolic pressure you would observe, in unites of mm Hg, if the pressure at heart was 120 overc80cmm Hg. Note that the bottom (smaller) number is the diastolic pressure.Pd?Find the pressure difference required between the ends of a 2.00 m long, 1.00 mm diameter horizontal tube for 40° C water to flow through it at an average speed of 4.0 m/s. Water at 40° has a viscosity of 0.7 x 10-3 Pa s. The pressure difference is equal to ______x105 Pa. Recall the equation for volume flow rate with viscosity: Δ?Δ?=??4Δ?8??
- As a fuel saving measure, commercial jets cruise at an altitude of about 10 km. While cruising at an altitude of 10 km, a small leak occurs in one of the window seals in the passenger compartment of an Airbus. Within the passenger compartment, the pressure and temperature are, respectively, 1.01 atm and 20°C and the pressure outside the craft is 0.311 atm. Model the air as an ideal fluid to find the speed (in m/s) of the stream of air flowing through the leak. (Assume the density of air to be 1.20 kg/m³.) m/sECIDO Consider a liquid (p = 1 kg/m³,) in a large bottle. It flows through a rather thin tube and come out of the tube at D. The cross-sectional area of the tube at C is c = 0.2 m², while all other parts have a cross-sectional area b = 0.1 m². The atmospheric pressure is Po= 105 Pascal, and the gravitational acceleration is g = 9.8 m/sec². Assume that the bottle is so large that the motion of the liquid at A is negligible. (hA = 50 m, hB = 10 m, hp = 30 m). A Пл 1) 2) 3) he a B 0 по What is the pressure PD at D? What is the speed VD of the liquid at D? Assuming a continuous liquid flow in the tube, what is the pressure at C?Suppose you measure a standing person’s blood pressure by placing the cuff on his leg 0.525 m below the heart. For this problem, assume that there is no loss of pressure due to resistance in the circulatory system (a reasonable assumption, since major arteries are large). The density of blood is 1.05×103 kg/m3 a. Calculate the systolic pressure you would observe, in units of mm Hgmm Hg, if the pressure at the heart was 120 over 80 mm Hg. Note that the top (and greater) number is the systolic pressure. b. Calculate the diastolic pressure you would observe, in units of mm Hgmm Hg, if the pressure at the heart was 120 over 80 mm Hg. Note that the bottom (smaller) number is the diastolic pressure.
- Question 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm occurs in an aorta, the internal radius may increase from r₁ = 1.1 cm in the normal, healthy section to 12= = 2.2 cm in the diseased section (while staying at the same vertical height). The speed of blood m flow is v₁ = 0.42 in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of 1 S blood is 1060 kg m³ Fusiform Aneurysm Image from: http://www.okclipart.com/Fusiform-Aneurysm-Clip-Art30koqyaskv/ (a) Calculate the speed of blood v2 in the aneurysm. Answer to two significant figures. Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli or Poiseuille? What simplifications should you make regarding the blood flow. m V₂ = S (b) Calculate the pressure gradient AP = P aneurysm healthy aorta from the healthy aorta into the aneurysm. Think: What equations dictating the flow through the valve are valid, equation of…A level (horizontal) pipe contains a non-viscous, incompressible fluid with a density 1200 kg/m³ that is flowing steadily. At one position within the pipe, the pressure is 300 x 103 N/m2 and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 x 103 N/m². What is the speed of the flow at this second position?