Problem of a tank with a trapezoidal section

Click For Summary
The discussion focuses on calculating the time it takes for a trapezoidal tank to empty through an orifice with a given area and discharge coefficient. The area of the tank's surface is expressed as 16H, where H is the height of the liquid. Participants emphasize the importance of clearly defining variables and providing calculations in a readable format. Suggestions are made to improve clarity by writing out formulas instead of relying on scanned images. The conversation highlights the need for precise communication in solving complex fluid dynamics problems.
Queren Suriano
Messages
48
Reaction score
0

Homework Statement


In the figure are the dimensions, and the question is the time in which the take will empty
Area of orifice 1 cm2
Discharge coefficient: 0.447
Gravity 10 m/s2

Homework Equations


[/B]
Area of surface = 8x = 8 (2 H) = 16H

The Attempt at a Solution

.

The red lines are the tank. And I prolongate the lines of the section to find the relation between "H" and X.
upload_2015-8-22_18-34-44.png
[/B]
 
A description what you are calculating where (and how your variables are defined) would help. Also, the formulas are much easier to read if you write them here instead of showing the scanned paper.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
12
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
2
Views
10K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 15 ·
Replies
15
Views
3K