Fluid Pressure & Force Calculus 2

In summary, a marine biology observation pod is being designed with submerged windows of various sizes and shapes. The task is to calculate the total force exerted on each window, taking into account the density of water at 1000 kg/m^3. Integration is suggested as a possible method to solve this problem, and there is a discussion about water pressure varying with depth and its effect on the windows. One person is unable to solve for the final answer of 11099.9N for force F and asks for assistance in solving it using integration.
  • #1
Gon
4
0

Homework Statement


A marine biology observation pod is being designed. It will be submerged, with vertical windows of various sizes and shapes. Calculate the total force being exerted on each of the windows described below. Density of water is 1000 kg/m^3

Untitled.jpg

Untitled2.jpg

http://[url=https://postimg.org/image/jw3fdoa19/][ATTACH=full]200160[/ATTACH]
[h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2]
I'm not sure if I'm doing it in right way, do I need to use integration to calculate the total force?
[/B]
[ATTACH=full]200161[/ATTACH]

[ATTACH=full]200162[/ATTACH]

[ATTACH=full]200163[/ATTACH]

[ATTACH=full]200164[/ATTACH]

[ATTACH=full]200165[/ATTACH]

[ATTACH=full]200166[/ATTACH]
 

Attachments

  • upload_2016-11-29_23-18-13.png
    upload_2016-11-29_23-18-13.png
    7.1 KB · Views: 443
  • upload_2016-11-29_23-20-32.png
    upload_2016-11-29_23-20-32.png
    11.2 KB · Views: 426
  • upload_2016-11-29_23-22-27.png
    upload_2016-11-29_23-22-27.png
    14.2 KB · Views: 406
  • url].jpg
    url].jpg
    2 KB · Views: 127
  • 20Force%20exerted%20%3D%7D%281000%29%289.8%29%2811%29%2832%29%3D3%2C449%2C600%5Ctexttt%7B%20N%7D.gif
    20Force%20exerted%20%3D%7D%281000%29%289.8%29%2811%29%2832%29%3D3%2C449%2C600%5Ctexttt%7B%20N%7D.gif
    3.4 KB · Views: 137
  • 20Force%20exerted%20%3D%7D%281000%29%289.8%29%2812%29%2821%29%3D2%2C469%2C600%5Ctexttt%7B%20N%7D.gif
    20Force%20exerted%20%3D%7D%281000%29%289.8%29%2812%29%2821%29%3D2%2C469%2C600%5Ctexttt%7B%20N%7D.gif
    3.4 KB · Views: 153
  • ed%20%3D%7D%281000%29%289.8%29%2810%29%284%5Cpi%20%29%3D3%2C920%2C000%5Cpi%20%5Ctexttt%7B%20N%7D.gif
    ed%20%3D%7D%281000%29%289.8%29%2810%29%284%5Cpi%20%29%3D3%2C920%2C000%5Cpi%20%5Ctexttt%7B%20N%7D.gif
    3.3 KB · Views: 167
  • 9%289.8%29%284%29%28%5Cfrac%7B2.25%5Cpi%7D%7B2%7D%20%29%3D%2044%2C100%5Cpi%20%5Ctexttt%7B%20N%7D.gif
    9%289.8%29%284%29%28%5Cfrac%7B2.25%5Cpi%7D%7B2%7D%20%29%3D%2044%2C100%5Cpi%20%5Ctexttt%7B%20N%7D.gif
    3.6 KB · Views: 146
  • ce%20exerted%20%3D%7D%281000%29%289.8%29%288%29%2815%29%3D%201%2C176%2C000%20%5Ctexttt%7B%20N%7D.gif
    ce%20exerted%20%3D%7D%281000%29%289.8%29%288%29%2815%29%3D%201%2C176%2C000%20%5Ctexttt%7B%20N%7D.gif
    3.5 KB · Views: 160
  • %7D%7B4%7D%29%28%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B16%7D%29%20%3D%201520.198%20%5Ctexttt%7B%20N%7D.gif
    %7D%7B4%7D%29%28%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B16%7D%29%20%3D%201520.198%20%5Ctexttt%7B%20N%7D.gif
    4.4 KB · Views: 167
Last edited by a moderator:
Physics news on Phys.org
  • #2
How does the water pressure vary with depth ?

Is the water pressure acting on the windows varying with depth ?
 
Last edited:
  • #3
Nidum said:
How does the water pressure vary with depth ?

Is the water pressure acting on the windows varying with depth ?
YES
 
  • #4
I solve all of them except F and the professor said the final answer should be 11099.9N but I didn't get that
 
  • #5
Gon said:
I solve all of them except F and the professor said the final answer should be 11099.9N but I didn't get that
You mean you that think your answer to (a) is correct?
 
  • #6
Chestermiller said:
You mean you that think your answer to (a) is correct?
No, I use integration to solve them.
 
  • #7
Gon said:
No, I use integration to solve them.
So please show us what you did using integration to solve F (so we can see where to help).
 

FAQ: Fluid Pressure & Force Calculus 2

What is fluid pressure?

Fluid pressure is the force per unit area that is exerted by a fluid on its surroundings. It is caused by the constant collisions of fluid molecules with the walls of a container or other objects in the fluid's path.

How is fluid pressure calculated?

Fluid pressure can be calculated using the formula P = F/A, where P is pressure, F is force, and A is the area over which the force is applied. In fluid pressure calculations, the force is typically the weight of the fluid and the area is the cross-sectional area of the container or object.

What is the difference between absolute and gauge pressure?

Absolute pressure is the total pressure exerted by a fluid, including atmospheric pressure. Gauge pressure, on the other hand, is the difference between absolute pressure and atmospheric pressure. It is often used in engineering and physics calculations.

How does fluid pressure change with depth?

According to Pascal's principle, the pressure in a fluid at rest increases with depth. This is because as depth increases, the weight of the fluid above increases, resulting in a greater force and therefore a higher pressure.

How is fluid force calculated?

Fluid force can be calculated using the formula F = P x A, where F is force, P is pressure, and A is the area over which the force is applied. This formula can be used to calculate the force exerted by a fluid on a surface or object, such as a dam or a submerged object in a river.

Similar threads

Fluid Forces in a Manometer: Understanding Pressure and Kinetic Energy
Replies
2
Views
998
Chemistry What is "gauge pressure" and how does a manometer work?
Replies
1
Views
294
I Fluid dynamics: drag coefficient and pressure at the stagnation point.
Replies
1
Views
959
Understand Pressure in Fluids: Conceptual Guide
Replies
3
Views
2K
How to calculate pressure when two forces are exerted
Replies
23
Views
678
Measuring the water volume in a small tank with a manometer
Replies
26
Views
868
Calculating Force to Push Steel Rod Up 50 cm
Replies
24
Views
2K
Fluid force at the end of a pipe
Replies
4
Views
2K
Calc 2 Fluid Pressure problem setup
Replies
2
Views
3K
Flow rate of fluid at a burst leakage in a pipeline due to over pressurization
Replies
5
Views
3K

Hot Threads

Recent Insights

Back
Top