Volume of the slice, then the Mass of the slice, the Force needed to lift it, and the Work needed to lift it all the way to the top. Vol=?, Mass=?, Force to lift?, Distance to lift=

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
icon
Related questions
Question

A circular swimming pool has a diameter of 10m, the sides are 4m high and it is completely full of water. Calculate the Work needed to pump all of the water out over the side of the pool. Assume the acceleration due to gravity is 9.8m/s^2, and the density of the water is 1000kg/m^3. 
A) Draw a picture of the swimming pool. Then "slice" the water horizontally. 
B) Calculate the Volume of the slice, then the Mass of the slice, the Force needed to lift it, and the Work needed to lift it all the way to the top. Vol=?, Mass=?, Force to lift?, Distance to lift=?, Work to lift slice to top=?

C) Use a definite integral to calculate the total work needed to pump all of the water out over the side of the pool. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell