Logo
Home Study Material Contact Search
AI Chat FREE
  1. business
  2. accounting
  3. note: be careful of units, and be sure to look up

Note: Be careful of units, and be sure to look up conversion factors, as needed....

60.1K

Verified Solution

Question

Accounting

Note: Be careful of units, and be sure to look up conversion factors, as needed.
A water tank is made in the shape of an ellipse, with height 30 feet and width 25 feet, rotated about its central axis. Recall that the equation of an ellipse centered at the origin is x2a2+y2b2=1 where a is the radius in the x direction and b is the radius in the y direction. Assuming the tank is half full, find the work done to pump all of the water out over the top of the tank and into a tanker truck, 10 feet above the tank.
(a) Explain what is wrong with the following solution to the problem.
Work =( Force )*( Distance )=( Total weight of water )**(15ft)
(b) With the origin at the center and the y-axis running vertically through the center of the tank, consider one "slice" of water at level y and with thickness dy. Draw the slice and calculate the amount of work done to lift this "slice" of water up to the tanker.
(c) Set up and evaluate an integral to calculate the total amount of work done to pump all of the water over the top of the tank.
image

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

"The day will come when telephone wires will be laid on to houses just like...

Biology
1.2K views

In Section 19 of Walden Thoreau says, "The setting sun is reflected from the windows...

Physics
1.2K views

If the size of atom which is of order of 10 10 m is scaled...

Physics
1.2K views

Using Mesh analysis 24 60 V 492 W 8Q 122 3 4 527 j6 j4...

Calculus
1.2K views

The pressure P and volume V of an expanding gas are related by the formula...

Algebra
1.2K views

Solve the absolute value equation or indicate that the equation has no solution.|2x-1|=3Select the correct...

Algebra
1.2K views

Winter coat 13 Which item from the table below has the lowest cost per days...

Accounting
1.2K views

On January 1,2021, Gooch Company acquires 80% of the outstanding common stock...

Accounting
1.2K views

F Febriary 2021 Add tionil information ia provided an folloen

Accounting
1.2K views

In the Assembly Department of Blue Spruce Company, budgeted and actual manufacturing overhead...

Accounting
1.2K views

,2022, at ant of the ed new nds pay sale De (c) Question Four: 10...

Accounting
1.2K views

dy - 12A A Aa A X, * A-D-A E 21 AaBbCcDc ABCcDc AaBb C...