3. Water flows at the rate of 5 ft³/s through an inclined pipe. At point A, wher the diameter is 12 inches, the pressure is 15 psi. What is the pressure at point B where the diameter is 6 inches and the center of the pipe is 24 inches lower than at point A. a. Draw a clear diagram of the pipe system that indicates the following: (a 1) water flow reflecting the quantities involved in describing fluid flow and (a-2) the quantities that describe Bernoulli's equation. b. Write the Bernoulli's Equation using subscripts U ad L for the upper an

3. Water flows at the rate of 5 ft³/s through an inclined pipe. At point A, wher the diameter is 12 inches, the pressure is 15 psi. What is the pressure at point B where the diameter is 6 inches and the center of the pipe is 24 inches lower than at point A. a. Draw a clear diagram of the pipe system that indicates the following: (a 1) water flow reflecting the quantities involved in describing fluid flow and (a-2) the quantities that describe Bernoulli's equation. b. Write the Bernoulli's Equation using subscripts U ad L for the upper an

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter12: Fluid Dynamics And Its Biological And Medical Applications

Section: Chapter Questions

Problem 47PE: An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter....

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How do you convert pressure units like millimeters of mercury, centimeters of water, and inches of mercury into units like newtons per meter squared without resorting to a table of pressure conversion factors?
An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter. Neglecting air resistance but not the resistance of the pipe, and assuming laminar flow, calculate the gauge pressure at the entrance of the 50.0-m-long vertical pipe. Take the density of the oil to be 900 kg/m3 and its viscosity to be 1.00 (N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to the 50.0-m column of oil in the pipe.
Explain why the fluid reaches equal levels on either side of a manometer if both sides are open to the atmosphere, even if the tubes are of different diameters.
Many figures in the text show streamlines. Explain why fluid velocity is greatest where streamlines are closest together. (Hint: Consider the relationship between fluid velocity and the cross-sectional area through which it flows.)
What effect does capillary action have on the reading of a manometer with uniform diameter? Explain your answer.
(a) Verify that a 19.0% decrease in laminar flow through a tube is caused by a 5.00% decrease in radius, assuming that all other factors remain constant, as stated in the text. (b) What increase in flow is obtained from a 5.00% increase in radius, again assuming all other factors remain constant?
Find the gauge and absolute pressures in the balloon and peanut jar shown in Figure 11.16, assuming the manometer connected to the balloon uses water whereas the manometer connected to the jar contains mercury. Express in units of centimeters of water for the balloon and millimeters of mercury for the jar, taking h=0.0500 m for each. Figure 11.16 An open-tube manometer has one side open to the atmosphere. (a) Fluid depth must be the same on both sides, or the pressure each side exerts at the bottom will be unequal and there will be flow from the deeper side. (b) A positive gauge pressure Pg=hg transmitted to one side of the manometer can support a column of fluid of height h. (c) Similarly, atmospheric pressure is greater than a negative gauge pressure Pg by an amount hg .The jar's rigidity prevents atmospheric pressure from being transmitted to the peanuts.
Is there a limit to the height to which an entrainment device can raise a fluid? Explain your answer.
Unreasonable Results A fairly large garden hose has an internal radius of 0.600 cm and a length of 23.0 m. The nozzle-less horizontal hose is attached to a faucet, and it delivers 50.0 L/S. (a) What water pressure is supplied by the faucet? (b) What is unreasonable about this pressure? (c) What is unreasonable about the premise? (d) What is the Reynolds number for the given flow? (Take the viscosity of water as 1.005103(N/m2)s .)
Oil having a density of 930 kg/m3 floats on water. A rectangular block of wood 4.00 cm high and with a density of 960 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?
(a) Using Bernoulli's equation, show that the measured fluid speed v for a pitot tube, like the one in Figure 12.7(b), is given by v=( 2gh)1/2 , where h is the height of the manometer fluid, is the density of the manometer fluid, is the density of the moving fluid, and g is the acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in the text.) (b) Calculate v for moving air if a mercury manometer's h is 0.200 m. Figure 12.7 Measurement of fluid speed based on Bernoulli's principle. (a) A manometer is connected to two that are close together and small enough not to disturb the flow. Tube 1 is open at the end facing the flow. A dead spot having zero speed is created there. Tube 2 has an opening on the side, and so the fluid has a speed V across the opening; thus, pressure there drops. The difference in pressure at the manometer is 12v22 , and so h is proportional to 12v22 . (b) This type of velocity measuring device is a Prandtl tube, also known as a pitot tube.
Does atmospheric pressure add to the gas pressure in a rigid tank? In a toy balloon? When, in general, does atmospheric pressure not affect the total pressure in a fluid?