Q6: Water enters a horizontal pipe with a rectangular cross section at a speed of 1 m/s. The width of the pipe remains constant but the height decreases. Twenty meters from the entrance, the height is half of what it is at the entrance. If the water pressure at the entrance is 3000 Pa, what is the pressure 20 m ?downstream 15 Pa 1.5 Pa O 150 Pa O 1500 Pa O 0.15 Pa O

Q6: Water enters a horizontal pipe with a rectangular cross section at a speed of 1 m/s. The width of the pipe remains constant but the height decreases. Twenty meters from the entrance, the height is half of what it is at the entrance. If the water pressure at the entrance is 3000 Pa, what is the pressure 20 m ?downstream 15 Pa 1.5 Pa O 150 Pa O 1500 Pa O 0.15 Pa O

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Description: 2795 N5495 N5590 N OQ6: Water enters a horizontal pipewith a rectangular cross section at aspeed of 1 m/s. The width of the piperemains constant but the heightdecreases. Twenty meters from theentrance, the height is half of what itis at the entrance

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 96P: (a) Verify that a 19.0% decrease in laminar flow through a tube is caused by a 5.00% decrease in...

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(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. (b) What increase in flow is obtained from a 5.00% increase in radius, again assuming all other factors remain constant?
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 .)
(a) What is the fluid speed in a fire hose with a 9.00-cm diameter carrying 80.0 L of water per second? (b) What is the flow rate in cubic meters per second? (c) Would your answers be different if salt water replaced the fresh water in the fire hose?
(a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/S? (b) To what maximum height above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)
Water is moving at a velocity of 2.00 m/s through a hose with internal diameter of 1.60 cm. (a) What is the flow rate in liters per second? (b) The fluid velocity in this hose's nozzle is 15.0 m/s. What is the nozzle's inside diameter?
Gasoline is piped underground from refineries to major users. The flow rate is 3.00102 m3/s (about 500 gal/ min), the viscosity of gasoline is 1.00103 (N/m2) s, and its density is 680 kg/m3. (a) What minimum diameter must the pipe have if the Reynolds number is to be less than 2000? (b) What pressure difference must be maintained along each kilometer of the pipe to maintain this flow rate?
What is the greatest average speed of blood flow at 37° C in an artery of radius 2.00 mm if the flow is to remain laminar? What is the corresponding flow rate? Take the density of blood to be 1025 kg/m3.
Concrete is pumped from a cement mixer to the place it is being laid, instead of being carried in wheelbarrows. The flow rate is 200.0 L/min through a 50.0-m-long, 8.00-cm-diameter hose, and the pressure at the pump is 8.00106 N/m2. Verify that the flow of concrete is laminar taking concrete's viscosity to be 48.0 (N/m2) s, and given its density is 2300 kg/m3.
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.
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.
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.
A sump pump (used to drain water from the basement of houses built below the water table) is draining a flooded basement at the rate of 0.750 us, with an output pressure of 3.00105 N/m2. (a) The water enters a hose with a 3.00-cm inside diameter and rises 2.50 m above the pump. What is its pressure at this point? (b) The hose goes over the foundation wall, losing 0.500 m in height, and widens to 4.00 cm in diameter. What is the pressure now? You may neglect frictional losses in both parts of the problem.