A trough with a length of 15 m is filled with water. The ends of the trough have a parabolic shape bounded by y =1/4x^2 and y = 9, measured in meters. Find the amount of work needed to pump all of the water up and out of a 1 m spout at the top of the trough. the answer is W = 4968ρg J but I don't understand how to solve for it Find the amount of hydrostatic force exerted against one of the parabolic sides due to the hydrostatic pressure of the water. its the same for this answer F =(1296ρg)/5 N

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

 A trough with a length of 15 m is filled with water. The ends of the trough have a parabolic shape bounded by
y =1/4x^2 and y = 9, measured in meters.

Find the amount of work needed to pump all of the water up and out of a 1 m spout at the top of the trough.

the answer is W = 4968ρg J but I don't understand how to solve for it

Find the amount of hydrostatic force exerted against one of the parabolic sides due to the hydrostatic pressure of the water.

its the same for this answer F =(1296ρg)/5 N

 

Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Hydrostatic forces
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning