Is it ever feasible to actually pump water out of the top of a tank? The 2019 Stack Overflow Developer Survey Results Are InEmptying water out of a Conical Tank? (Calculus)?Work required to pump water out of tank in the shape of a paraboloid of revolutionHow do I solve this Calculus Work problem?Work to pump water from a cylindrical tankEmptying water out of a Conical Tank? (Calculus)?Work required to pump water out of tank in the shape of a paraboloid of revolutionPhysical Application inverted ConePump water from half-full cylindrical tank from a spigot at height higher than top of tankHow do I use the integral of work to solve the hemisphere pump problem?Moving oil out of a conical shaped tankNeed help with calc 2 problem just with setting up the integral
Access elements in std::string where positon of string is greater than its size
Does it makes sense to buy a new cycle to learn riding?
How to create dashed lines/arrows in Illustrator
Is bread bad for ducks?
Which Sci-Fi work first showed weapon of galactic-scale mass destruction?
What do hard-Brexiteers want with respect to the Irish border?
"What time...?" or "At what time...?" - what is more grammatically correct?
Is it possible for the two major parties in the UK to form a coalition with each other instead of a much smaller party?
Is domain driven design an anti-SQL pattern?
What is the meaning of Triage in Cybersec world?
Is "plugging out" electronic devices an American expression?
Where does the "burst of radiance" from Holy Weapon originate?
Is flight data recorder erased after every flight?
What is the motivation for a law requiring 2 parties to consent for recording a conversation
Idiomatic way to prevent slicing?
Spanish for "widget"
Monty Hall variation
Why is it "Tumoren" and not "Tumore"?
Why is my p-value correlated to difference between means in two sample tests?
Why isn't airport relocation done gradually?
What is the steepest angle that a canal can be traversable without locks?
"To split hairs" vs "To be pedantic"
What tool would a Roman-age civilization have to grind silver and other metals into dust?
Realistic Alternatives to Dust: What Else Could Feed a Plankton Bloom?
Is it ever feasible to actually pump water out of the top of a tank?
The 2019 Stack Overflow Developer Survey Results Are InEmptying water out of a Conical Tank? (Calculus)?Work required to pump water out of tank in the shape of a paraboloid of revolutionHow do I solve this Calculus Work problem?Work to pump water from a cylindrical tankEmptying water out of a Conical Tank? (Calculus)?Work required to pump water out of tank in the shape of a paraboloid of revolutionPhysical Application inverted ConePump water from half-full cylindrical tank from a spigot at height higher than top of tankHow do I use the integral of work to solve the hemisphere pump problem?Moving oil out of a conical shaped tankNeed help with calc 2 problem just with setting up the integral
$begingroup$
In math/calculus classes, a problem frequently posed asks how much work (J) is required to pump water out of the top of differently shaped water tanks.
If you are unsure of what I am referring to, here are some example problems:
- Emptying water out of a Conical Tank? (Calculus)?
- Work required to pump water out of tank in the shape of a paraboloid of revolution
- Example 9.5.4 in https://www.whitman.edu/mathematics/calculus_online/section09.05.html
Is it ever actually feasible to pump water out of the top of a tank, as is modeled by the solutions to these problems? Does some sort of pump actually exist that is able to pull water from its surface in a tank, ever?
This might be a question better suited for engineering forums, but I'm unsure. I'm writing a mathematics paper and am currently struggling to find the real-world application of pumping water out of the top of a tank. And really hoping that there is one.
calculus definite-integrals physics
asked Mar 23 at 3:52
TDurhamTDurham
111
$endgroup$
add a comment |
$begingroup$
In math/calculus classes, a problem frequently posed asks how much work (J) is required to pump water out of the top of differently shaped water tanks.
If you are unsure of what I am referring to, here are some example problems:
- Emptying water out of a Conical Tank? (Calculus)?
- Work required to pump water out of tank in the shape of a paraboloid of revolution
- Example 9.5.4 in https://www.whitman.edu/mathematics/calculus_online/section09.05.html
Is it ever actually feasible to pump water out of the top of a tank, as is modeled by the solutions to these problems? Does some sort of pump actually exist that is able to pull water from its surface in a tank, ever?
This might be a question better suited for engineering forums, but I'm unsure. I'm writing a mathematics paper and am currently struggling to find the real-world application of pumping water out of the top of a tank. And really hoping that there is one.
calculus definite-integrals physics
asked Mar 23 at 3:52
TDurhamTDurham
111
$endgroup$
3
$begingroup$
I was skeptical when I read the title of the question, but this is actually an amazing question. Especially that last paragraph.
$endgroup$
– Don Thousand
Mar 23 at 3:54
1
$begingroup$
And yet you didn't vote it up.
$endgroup$
– MJD
Mar 23 at 4:29
add a comment |
$begingroup$
In math/calculus classes, a problem frequently posed asks how much work (J) is required to pump water out of the top of differently shaped water tanks.
If you are unsure of what I am referring to, here are some example problems:
- Emptying water out of a Conical Tank? (Calculus)?
- Work required to pump water out of tank in the shape of a paraboloid of revolution
- Example 9.5.4 in https://www.whitman.edu/mathematics/calculus_online/section09.05.html
Is it ever actually feasible to pump water out of the top of a tank, as is modeled by the solutions to these problems? Does some sort of pump actually exist that is able to pull water from its surface in a tank, ever?
This might be a question better suited for engineering forums, but I'm unsure. I'm writing a mathematics paper and am currently struggling to find the real-world application of pumping water out of the top of a tank. And really hoping that there is one.
calculus definite-integrals physics
asked Mar 23 at 3:52
TDurhamTDurham
111
$endgroup$
In math/calculus classes, a problem frequently posed asks how much work (J) is required to pump water out of the top of differently shaped water tanks.
If you are unsure of what I am referring to, here are some example problems:
- Emptying water out of a Conical Tank? (Calculus)?
- Work required to pump water out of tank in the shape of a paraboloid of revolution
- Example 9.5.4 in https://www.whitman.edu/mathematics/calculus_online/section09.05.html
Is it ever actually feasible to pump water out of the top of a tank, as is modeled by the solutions to these problems? Does some sort of pump actually exist that is able to pull water from its surface in a tank, ever?
This might be a question better suited for engineering forums, but I'm unsure. I'm writing a mathematics paper and am currently struggling to find the real-world application of pumping water out of the top of a tank. And really hoping that there is one.
calculus definite-integrals physics
calculus definite-integrals physics
asked Mar 23 at 3:52
TDurhamTDurham
111
asked Mar 23 at 3:52
TDurhamTDurham
111
asked Mar 23 at 3:52
TDurhamTDurham
111
asked Mar 23 at 3:52
TDurhamTDurham
111
asked Mar 23 at 3:52
TDurhamTDurham
111
111
3
$begingroup$
I was skeptical when I read the title of the question, but this is actually an amazing question. Especially that last paragraph.
$endgroup$
– Don Thousand
Mar 23 at 3:54
1
$begingroup$
And yet you didn't vote it up.
$endgroup$
– MJD
Mar 23 at 4:29
add a comment |
3
$begingroup$
I was skeptical when I read the title of the question, but this is actually an amazing question. Especially that last paragraph.
$endgroup$
– Don Thousand
Mar 23 at 3:54
1
$begingroup$
And yet you didn't vote it up.
$endgroup$
– MJD
Mar 23 at 4:29
3
3
$begingroup$
I was skeptical when I read the title of the question, but this is actually an amazing question. Especially that last paragraph.
$endgroup$
– Don Thousand
Mar 23 at 3:54
$begingroup$
I was skeptical when I read the title of the question, but this is actually an amazing question. Especially that last paragraph.
$endgroup$
– Don Thousand
Mar 23 at 3:54
1
1
$begingroup$
And yet you didn't vote it up.
$endgroup$
– MJD
Mar 23 at 4:29
$begingroup$
And yet you didn't vote it up.
$endgroup$
– MJD
Mar 23 at 4:29
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Most soap dispensers are examples of tanks where you pump a liquid from the surface. The tube extending to the bottom is irrelevant - the work required is the same as if the tube magically expanded and contracted to just reach the surface, because the pressure will cause the liquid inside and outside the tube to be at the same height.
A more practical problem would be finding the work to pump some quantity of oil from beneath the ground to the surface.
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3158930%2fis-it-ever-feasible-to-actually-pump-water-out-of-the-top-of-a-tank%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Most soap dispensers are examples of tanks where you pump a liquid from the surface. The tube extending to the bottom is irrelevant - the work required is the same as if the tube magically expanded and contracted to just reach the surface, because the pressure will cause the liquid inside and outside the tube to be at the same height.
A more practical problem would be finding the work to pump some quantity of oil from beneath the ground to the surface.
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
$endgroup$
add a comment |
$begingroup$
Most soap dispensers are examples of tanks where you pump a liquid from the surface. The tube extending to the bottom is irrelevant - the work required is the same as if the tube magically expanded and contracted to just reach the surface, because the pressure will cause the liquid inside and outside the tube to be at the same height.
A more practical problem would be finding the work to pump some quantity of oil from beneath the ground to the surface.
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
$endgroup$
add a comment |
$begingroup$
Most soap dispensers are examples of tanks where you pump a liquid from the surface. The tube extending to the bottom is irrelevant - the work required is the same as if the tube magically expanded and contracted to just reach the surface, because the pressure will cause the liquid inside and outside the tube to be at the same height.
A more practical problem would be finding the work to pump some quantity of oil from beneath the ground to the surface.
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
$endgroup$
Most soap dispensers are examples of tanks where you pump a liquid from the surface. The tube extending to the bottom is irrelevant - the work required is the same as if the tube magically expanded and contracted to just reach the surface, because the pressure will cause the liquid inside and outside the tube to be at the same height.
A more practical problem would be finding the work to pump some quantity of oil from beneath the ground to the surface.
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
answered Mar 23 at 4:54
Jacob JonesJacob Jones
14311
14311
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3158930%2fis-it-ever-feasible-to-actually-pump-water-out-of-the-top-of-a-tank%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
3
$begingroup$
I was skeptical when I read the title of the question, but this is actually an amazing question. Especially that last paragraph.
$endgroup$
– Don Thousand
Mar 23 at 3:54
1
$begingroup$
And yet you didn't vote it up.
$endgroup$
– MJD
Mar 23 at 4:29