**Problem 3:**Water flows through a horizontal cylindrical pipe from a smaller-diameter region to a larger-diameter region. At point A, where the pipe’s diameter is 3.5 cm, the water’s speed is 25.0 m/s. At point B, the pipe’s diameter is 7.0 cm.(a) What is the water’s speed at point B?(b) What is the pressure difference between points A and B? Which point has the greater pressure?

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Description: **Problem 3:**Water flows through a horizontal cylindrical pipe from a smaller-diameter region to a larger-diameter region. At point A, where the pipe’s diameter is 3.5 cm, the water’s speed is 25.0 m/s. At point B, the pipe’s diameter is 7.0 cm.(a)

a) Using equation of continuity A1V1 = A2V225 * (3.5)2 = (7)2 V2V2= 6.25 m/s therefore, water's speed at point B = 25 m/s b) Using bernoulli's equation P1 + (1/2)ρV12 = P2 + (1/2)ρV22P1 + (1/2)(1000)(252 - 6.252) = P2P2 - P1 = 292968.75 Pressure difference between A and B = 292968.75 Pascals , The point B is at greater pressure

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Problem 3: Water flows through a horizontal cylindrical pipe from a smaller-diameter region to a larger-diameter region. At point A, where the pipe's diameter is 3.5 cm, the water's speed at 25.0 m/s. At point B, the pipe's diameter is 7.0 cm. (a) What is the water's speed at point B? (b) What is the pressure difference between points A and B? Which point has the greater pressure?

Problem 3: Water flows through a horizontal cylindrical pipe from a smaller-diameter region to a larger-diameter region. At point A, where the pipe's diameter is 3.5 cm, the water's speed at 25.0 m/s. At point B, the pipe's diameter is 7.0 cm. (a) What is the water's speed at point B? (b) What is the pressure difference between points A and B? Which point has the greater pressure?

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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**Problem 3:**

Water flows through a horizontal cylindrical pipe from a smaller-diameter region to a larger-diameter region. At point A, where the pipe’s diameter is 3.5 cm, the water’s speed is 25.0 m/s. At point B, the pipe’s diameter is 7.0 cm.

(a) What is the water’s speed at point B?

(b) What is the pressure difference between points A and B? Which point has the greater pressure?

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