a) [1 Water flows into a 2 story apartment through a 5.08 cm diameter pipe and the water meter registers a 46 psi gauge pressure at the ground level. The pipes taper down to 2.54 cm in diameter at the 2nd floor, 6.8 m above ground. If the water flows at 2.2 m/s at the 2nd level, what is the gauge pressure in psi at the 2nd level? [Answer in 2 significant figures]
a) [1 Water flows into a 2 story apartment through a 5.08 cm diameter pipe and the water meter registers a 46 psi gauge pressure at the ground level. The pipes taper down to 2.54 cm in diameter at the 2nd floor, 6.8 m above ground. If the water flows at 2.2 m/s at the 2nd level, what is the gauge pressure in psi at the 2nd level? [Answer in 2 significant figures]
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
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![**Problem Statement:**
a) [10 marks] Water flows into a 2 story apartment through a 5.08 cm diameter pipe and the water meter registers a 46 psi gauge pressure at the ground level. The pipes taper down to 2.54 cm in diameter at the 2nd floor, 6.8 m above ground. If the water flows at 2.2 m/s at the 2nd level, what is the gauge pressure in psi at the 2nd level? [Answer in 2 significant figures.]
**Explanation:**
This problem involves a calculation using principles from fluid dynamics, specifically Bernoulli's equation. It requires determining the gauge pressure at a higher elevation in a fluid system with varying pipe diameters. The task highlights the importance of accounting for changes in velocity and height while maintaining a consistent flow rate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d688b34-c43a-4a2a-9e75-79997b42342d%2F92959a7e-f82e-47fd-82ec-b17e9caa2964%2Fwox90lp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
a) [10 marks] Water flows into a 2 story apartment through a 5.08 cm diameter pipe and the water meter registers a 46 psi gauge pressure at the ground level. The pipes taper down to 2.54 cm in diameter at the 2nd floor, 6.8 m above ground. If the water flows at 2.2 m/s at the 2nd level, what is the gauge pressure in psi at the 2nd level? [Answer in 2 significant figures.]
**Explanation:**
This problem involves a calculation using principles from fluid dynamics, specifically Bernoulli's equation. It requires determining the gauge pressure at a higher elevation in a fluid system with varying pipe diameters. The task highlights the importance of accounting for changes in velocity and height while maintaining a consistent flow rate.
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