Answered: Bernoulli equation proplem •A pump…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 46P

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Bernoulli equation proplem
•A pump moves water for a fountain. The pump is attached to a pipe
of diameter 10 cm and is located a distance of 1.5 m below ground
level. The fountain itself has a nozzle of diameter 2 cm, is located at
ground level and produces water at a velocity of 20 m/s.

•Find the velocity of water in the pump.
•What is the pressure that the pump is operating at?

you have to solve the proplem by using the problem solving guideline below

Problem solving guideline (version 3):

a) Main concept(s) this problem deals with:

b) Given information and any “hidden” information (hidden info is often quantities that are zero, constants that are known, or assumptions you are making). Your answers should be in the form: [variable]=[number] [units]

c) The final quantity you’re solving for and its units: ____________________________

d) Predict the orders of magnitude that the quantity you’re solving for could be within and include units: ____________________________________________________

e) Draw a picture with variables labeled from those identified in parts b and c, a force diagram if necessary using the Fon object 1 by object 2 labeling, and a coordinate system with a clear origin (you can draw a dashed-line coordinate system directly on your picture). Your picture should be a visual summary of the problem:

2 f) What kind of equations might we need? Right down any that might be helpful, its ok if we don’t use them all.

g) Show your work in variable form here. If any variables are zero, note that and simplify your equations. Combine equations to form one, simplified formula that will solve for the unknown.

h) Your work with numbers and units put into the formula you ended up with from your previous step:

i) Does your answer seem reasonable compared to part c and d?

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