An incompressible fluid with zero viscosity flows through a pipe of varying radit (shown in cross-section). Compared to the fluid at point Q, the fluid at point P I • P radius R radius 2R a greater pressure and a greater volume flow rate. a greater pressure and the same volume flow rate. the same pressure and a greater volume flow rate. a lower pressure and the same volume flow rate. none of the above

An incompressible fluid with zero viscosity flows through a pipe of varying radit (shown in cross-section). Compared to the fluid at point Q, the fluid at point P I • P radius R radius 2R a greater pressure and a greater volume flow rate. a greater pressure and the same volume flow rate. the same pressure and a greater volume flow rate. a lower pressure and the same volume flow rate. none of the above

Name: An incompressible fluid with zero viscosity flows through a pipe of v
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Description: An incompressible fluid with zero viscosity flows through a pipe of varying radius(shown in cross-section). Compared to the fluid at point Q, the fluid at point P has• Pradius Rradius 2Ra greater pressure and a greater volume flow rate.a greater pre

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 14.7OQ

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Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow rate to various factors, calculate be new flow rate for following changes with all other factors remaining the same as in original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid wit 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube used with a 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half length, and pressure difference is increased by factor of 1.50.
A fire hose has an inside diameter of 6.40 cm. Suppose such a hose caries a flow of 40.0 L/s starting at a gauge pressure of 1.62106 N/m2. The hose goes 10.0 m up a ladder to a nozzle having an inside diameter of 3.00 cm. Calculate the Reynolds numbers for flow in the fire hose and nozzle to show that flow in each must be turbulent.
Two thin-walled drinking glasses having equal base areas but different shapes, with very different cross-sectional areas above the base, are filled to the same level with water. According to the expression P = P0 + gh, the pressure is the same at the bottom of both glasses. In view of this equality, why does one weigh more than the other?
An oil gusher shoots crude 25.0 m the through a pipe with a 0.100-m diameter. Neglecting resistance but not resistance of the pipe, and assuming laminar flow, calculate pressure at be entrance of be 50.0-m-Iong vertical pipe. Take of the oil to be 900 kg/m3 and its viscosity to be 100(N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to 50.0-m column of oil in pipe.
Referring to Figure 14.20, prove that the buoyant force on be cylinder is equal to the weight of the fluid displaced (Archimedes' principle). You may assume that be buoyant force is F2F1 and that the ends of be cylinder have equal areas A. Note Eat be volume of be cylinder (and that of be fluid displaces) equals (h2h1)A .
Water flows through a pipe that gradually descends from a height of 6.78 m to the ground. Near the top, the cross-sectional area is 0.400 m2, and the pipe gradually widens so that its area near the ground is 0.800 m2. Water leaves the pipe at a speed of 16.8 m/s. What is the difference in the water pressure between the top and bottom of the pipe?
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?
Water pressure inside a hose nozzle can be less than atmospheric pressure due to the Bernoulli effect. Explain in terms of energy how the water can emerge from the nozzle against the opposing atmospheric pressure.
Suppose you have a wind speed gauge like the pitot tube shown in Figure 14.32. By what factor must wad speed increase to double the value of h in the manometer? Is independent of be moving fluid and be fluid the Figure 14.32 Measurement of fluid speed on Bernoulli’s principle. (a) A manometer is connected to two tubes 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, so the fluid has a speed v across; thus, pressure there drops. The difference in pressure at the manometer is 12v22 , so h is proportional to . 12v22 (b) This type of velocity measuring device is a Prandtl tube, also known as a pitot tube.
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