A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water.) - 4 m - 2 m 4 m 9 m W = 5488000 X J Enhanced Feedback Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the spout. If the top surface of a slab has area A(x), then the slab's volume is approximately A(x)Ax. Use the volume to compute the force required to pump the water out, and multiply by x to compute the work required to pump the water out. The amount of work required to empty the tank can be written as a Riemann sum and converted into an integral. .------------------------------------------------------------------------------------------------------------
A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water.) - 4 m - 2 m 4 m 9 m W = 5488000 X J Enhanced Feedback Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the spout. If the top surface of a slab has area A(x), then the slab's volume is approximately A(x)Ax. Use the volume to compute the force required to pump the water out, and multiply by x to compute the work required to pump the water out. The amount of work required to empty the tank can be written as a Riemann sum and converted into an integral. .------------------------------------------------------------------------------------------------------------
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
100%
please explain with steps
Transcribed Image Text:A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water.)
|- 4 m -
2 m
4 m
t.
9 m
W = 5488000
X J
Enhanced Feedback
Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the spout. If the top surface of a slab
has area A(x), then the slab's volume is approximately A(x)Ax. Use the volume to compute the force required to pump the water out, and multiply by x to
compute the work required to pump the water out.
The amount of work required to empty the tank can be written as a Riemann sum and converted into an integral.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning