Express the Bernoulli equation in three different ways using (a) energies, (b pressures, and (c) heads.
Q: (a) Determine the speed at which blood is flowing through an artery with a radius of 5.40 × 10-3 m,…
A: ...
Q: Show by dimensional analysis that each of the terms in Bernoulli’s equation has units of energy…
A: Bernoulli's Equation for the motion of a fluid is given by: P+12ρv2+ρgh=constant where P is the…
Q: You inflate the tires of your car to a gauge pressure of 38.0 lb/in2. If your car has a mass of 1250…
A: Given data The gauge pressure of the inflated tires is Pin = 38 lb/in2 The car's mass is m = 1250…
Q: (a) Calculate the force that the water exerts on the cork (which pushes it outwards). Give your…
A: Let the surface area of the container be A and the level of water above the cork be L. Let the area…
Q: (a) The pressure inside an alveolus with a 2.00×10−4 -m radius is 1.40×103 Pa , due to its…
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Q: A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm…
A: a. To calculate the speed of blood (v₂) in the aneurysm, we can use the principle of continuity,…
Q: (a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 2.70 cm…
A: Given that, Diameter = 3.00 cm Exit diameter = 9.00 cm Flow = 40.0 L/s²
Q: According to the Bernoulli equation, if the speed of a fluid moving parallel to a surface increases,…
A: The total Energy head will remain constant. Total energy head is the summation of potential head +…
Q: same as the work output, assuming no losses to friction. What must be the ratio of the distance the…
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Q: The left side of the heart creates a pressure of 111 mm Hg by exerting a force directly on the blood…
A: Pressure is given by Pressure (P)= force(F) /area(A) Pressure =111 mm of Hg = 111 × 133 pascal…
Q: A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm…
A: Question explained below:Explanation:Answer : (a) (b)
Q: What radius needle should be used to inject a volume of 465 cm³ of a solution into a patient in 32…
A: Using Poiseuille's equation, Change in pressure is given by: dP = 8*n*L*Q/(pi*R^4) Q = Volume flow…
Q: (a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 2.80 cm…
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Q: How tall must a water-filled manometer be to measure blood pressure as high as 300 mm Hg?
A: For water,Pressure,Pwater=ρwater×g×hwaterfor manometer,Pmanometer=ρHg×g×hHgafter equating the both…
Q: 3. Air at 105 kPa and 37°C flows upward through a 6-cm-diameter inclined duct at a rate of 65 L/s.…
A: Given, Pressure, P=105kPa Temperature, T=37°CT=37+273KT=310K The duct rate, v˙=65L/sv˙=0.065m/s The…
Q: You inflate the tires of your car to a gauge pressure of 38.0 lb/in2. If your car has a mass of 1825…
A: The gauge pressure of the inflated tires is Pin = 38 lb/in2The car's mass is m = 1825 kg.The number…
Q: (a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.10-cm-diameter…
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Q: Turbulence in the aorta is a certainty for a Reynolds number of 3000. Assuming that blood is an…
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Q: what is the pressure to the Bernoulll efrect as water goees into .60 cm diameter noZzie from cm…
A: inlet diameter = 2r1= 2.6 cm radius = r1=2.62= 1.3 cm outlet radius = r2= 4.6 cm volume flow rate =…
Q: Use Bernoulli’s equation to estimate the upward force on an airplane’s wing if the average flow…
A: Write Bernoulli’s equation between the top and bottom of the airplane’s wing.…
Q: (a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 3.50 cm…
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Q: What is the pressure drop (in N/m²) due to the Bernoulli effect as water goes into a 3.50 cm…
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Q: The density of gasoline and mercury are 789 kg/m3 and 13 600 kg/m3 respectively. Normal atmospheric…
A: Normal atmospheric pressure is 101325 N/m2 density of mercury = 13600 kg/m3 density of gasoline =…
Q: Suppose an occlusion in an artery reduces its diameter by 15%, but the volume flow rate of blood in…
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Q: How high does a water can rise in a capillary tube if the only determining factor is atmospheric…
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Q: A small crack occurs at the base of a 13.0m high dam. The effective area through which water leaves…
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Q: Water, pressurized to 3.00 × 10 5 Pa, flows through a pipe at 5.25 m/s. Somewhere along its length,…
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Q: Water flowing steadily at a rate of 0.17 m3/s is deflected downward by an angled elbow and exits to…
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Q: a)The Bernoulli Equation can be described as mechanical energy during a flow, in which it obeys the…
A: Given that, At point (1) P1= 150×10³ Pa Height (H1)= 4.5 m Density of water (p)= 997 kg/m³ Diameter…
Q: (a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.20-cm-diameter…
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Q: Suppose that an observer with 4-velocity us measures the energy of a particle with 4-momentum p".…
A: Required: A coordinate-independent expression for the energy measured.
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