**Diagram Explanation for Educational Context:**The diagram illustrates a large tank filled with water, having a density of 1000 kg/m³. The tank features a pipe with a diameter of 0.05 meters, extending from the tank with its open end positioned 5 meters below the water's surface. Attached to part of the pipe outside the tank is a pump that facilitates water flow.**Questions for Analysis:**(a) Determine the gauge pressure at the pipe's opening when there is no fluid flow, neglecting atmospheric pressure.(b) Calculate the linear velocity, \( v \), of water in the pipe when water is pumped at a flow rate of 0.01 m³/s.(c) Assess the pressure at the pipe's opening when the pump is operational.

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Description: **Diagram Explanation for Educational Context:**The diagram illustrates a large tank filled with water, having a density of 1000 kg/m³. The tank features a pipe with a diameter of 0.05 meters, extending from the tank with its open end positioned 5 m

Solution: As given in teh question denisty of water = 1000 kg/m3 pipe diamter = 0.05 m\ h = 5 m…

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Drawn below is a large tank of water with density 1000 kg/m'. A pipe with a diameter of 0.05 m is placed in the tank and its end opens up 5 m below the surface. (a) If there is no fluid flow, what is the gauge pressure (i.e. neglect atmospheric pressure) at the opening of the pipe? (b) If water is now pumped from the pipe at the volume flow rate of 0.01 m/s, what is the linear velocity, v, of the fluid in the pipe? (c) What is the pressure at the opening of the pipe when this pump is on? pump 5 m

Drawn below is a large tank of water with density 1000 kg/m'. A pipe with a diameter of 0.05 m is placed in the tank and its end opens up 5 m below the surface. (a) If there is no fluid flow, what is the gauge pressure (i.e. neglect atmospheric pressure) at the opening of the pipe? (b) If water is now pumped from the pipe at the volume flow rate of 0.01 m/s, what is the linear velocity, v, of the fluid in the pipe? (c) What is the pressure at the opening of the pipe when this pump is on? pump 5 m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

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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**Diagram Explanation for Educational Context:**

The diagram illustrates a large tank filled with water, having a density of 1000 kg/m³. The tank features a pipe with a diameter of 0.05 meters, extending from the tank with its open end positioned 5 meters below the water's surface. Attached to part of the pipe outside the tank is a pump that facilitates water flow.

**Questions for Analysis:**

(a) Determine the gauge pressure at the pipe's opening when there is no fluid flow, neglecting atmospheric pressure.

(b) Calculate the linear velocity, \( v \), of water in the pipe when water is pumped at a flow rate of 0.01 m³/s.

(c) Assess the pressure at the pipe's opening when the pump is operational.

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