All Questions
Tagged with differentiation work
26
questions
1
vote
3
answers
106
views
The conservative force [closed]
I read about the definition of the curl.
It's the measure of the rotation of the vector field around a specific point
I understand this, but I would like to know what does the "curl of the ...
- 11
0
votes
5
answers
139
views
Why $VdP$ term omitted in isothermal Work?
Context: I'm asking about classical thermodynamics, that is "ideal gas", closed system, reversible processes etc.
Why is the $VdP$ term omitted in calculation of work during isothermal ...
- 957
0
votes
3
answers
431
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Goldstein: derivation of work-energy theorem
I am reading "Classical Mechanics-Third Edition; Herbert Goldstein, Charles P. Poole, John L. Safko" and in the first chapter I came across the work-energy theorem (paraphrased) as follows:
...
- 232
0
votes
0
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51
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Can we define $\text dW$? [duplicate]
I am currently taking applied thermodynamics at my university, and for the definition of entropy this is the formula used in the book (Thermodynamic for Engineers by Moran, Shapiro, Boettner, Bailey): ...
2
votes
4
answers
686
views
Why do we use different differential notation for heat and work?
Just recently started studying Thermodynamics, and I am confused by something we were told, I understand we use the inexact differential notation because work and heat are not state functions, but we ...
- 263
0
votes
0
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126
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Work-Energy Principle Derivation
I am currently in Mechanics I and both my professor and my book have derived the work principle in this way and I even asked about its derivation during class, but it has me puzzled.
I don't ...
0
votes
1
answer
2k
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Find force from potential energy
If we have a force whose component along $\vec{r}$ is $F_r$. where $\vec{r} = x \hat{i} + y \hat{j} + z \hat{k}$. then the force is = derivative of $U$ (potential energy) wrt $r$.
So my question is :
...
-1
votes
3
answers
172
views
Avoiding a confusion with dot product
Some days ago I have asked a question about a formula for power, many generous people have answered my question and clarify for me that the correct formula of work is
$$\mathrm{d}W= \mathbf{F}\cdot \...
2
votes
1
answer
85
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How to express the elementary work definition as an explicit functional expression [duplicate]
My assumption here is that in the definition of elementary work :
$dW = F ds$
symbol $d$ represents a differential.
But a differential implies a function :
$dy =_{df} d[f(x)] = f'(x) \Delta x = f'(...
- 373
1
vote
2
answers
641
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Infinitesimal Changes - Notations
in my thermodynamics class we saw the following formulas:
$$ dS = \frac{\delta Q}{T} $$
and
$$ \delta W = PdV $$
This was part of a review of thermodynamics that we have seen previously; however, in ...
- 286
8
votes
6
answers
1k
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Mathematical Definition of Power [duplicate]
I am a high school student who was playing around with some equations, and I derived a formula for which cannot physically imagine.
\begin{align}
W & = \vec F \cdot \vec r
\\
\frac{dW}{dt} & = ...
- 199
0
votes
1
answer
110
views
Sign conundrum while deriving electrostatic potential
Consider a fixed, positive Point charge $q1$, kept at the origin. Another (positive) charge, $q2$, is being brought from $\infty$ to the point $(r,0)$, by an external agent slowly. We wish to ...
- 1,295
1
vote
3
answers
1k
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Why is pressure assumed constant in the work equation? Doesn't pressure change with the change with volume unless isobaric?
Right now, I'm studying thermodynamics, and I am a bit confused on the differentials.
For example, the equation for work is $W=p*{\Delta}V$, and usually people change it to $dW = p*dV$.
But, as long ...
- 59
3
votes
1
answer
602
views
Physical interpretation of total derivative
Can I get some help interpreting the following?
"Since this is a total differential (that is, it only depends on the final state, not how the particle got there), we can integrate it and call ...
- 1,031
1
vote
0
answers
267
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Why do they specify the differential of Work using an lowercase delta $\delta W$, instead of $dW$ [duplicate]
I was curious, why do they specify the differential of Work using an lowercase delta symbol $\delta$ as in "$\delta W$", instead of using a $d$, as in $dW$. For example:
$$\delta W=\vec{F} ...
- 111