All Questions
Tagged with applications physics
67
questions
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Physical significance of 3rd derivative [duplicate]
I am new to calculus and currently learning differentiation. I understood that the first derivative indicates the slope of the function and the second derivative indicates the rate at which the slope ...
- 647
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1
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Solving time derivative of glycogen dynamics: $17.6{dG\over dt} = 2000 - 13G^2$ [closed]
Can I find G, glycogen level at time t=5, if glycogen dynamics are described by the following derivative:
$$17.6{dG\over dt} = 2000 - 13G^2$$
It's been a long time since I've messed with derivatives ...
- 1
44
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17
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What is a simple, physical situation where complex numbers emerge naturally? [duplicate]
I'm trying to teach middle schoolers about the emergence of complex numbers and I want to motivate this organically. By this, I mean some sort of real world problem that people were trying to solve ...
- 645
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Physical interpretation of Dirichlet energy for a membrane.
In the following model of a membrane with a mass particle in it, why does the integral represents the elastic energy of the system?
Let $\Omega$ be an open connected region (the membrane) in $\Re^2$, ...
12
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3
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864
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Applications of "finite mathematics" to physics
Disclaimer: I know that what follows is a biased view on applications, one of the points of the question is to eliminate some of that bias.
When I think of applications of maths outside of itself, I ...
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2
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1
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Could families of "Airys" and "Bairys" of integer "frequencies" be useful?
A very famous family of functions are the complex exponentials and in the case of real valued functions, the sin and cos functions. They are related by the famous Euler formulas:
$$\exp(i\phi) = \cos(...
- 26.1k
3
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2
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94
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Can we motivate mathematically why wind turbines almost always have 3 flappers and aeroplane propellers can have any number of flappers?
Firstly I know some might frown upon a question so very broad and applied as this one. It really may not be a well defined mathematical question as some people would prefer on the site. I am okay with ...
- 26.1k
2
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1
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170
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How do I tell the rank of the electric susceptibility tensor (and others)?
I understand that a tensor is a multilinear map from
$V^*\times\cdots\times V^*\times V\times\cdots\times V$ to $V$'s underlying field, where $V$ is a vector space and $V^*$ its dual. This is fine, ...
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1
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Can we solve the functions describing the bend of a cable at rest fixed at two positions?
Assume we have a cable which endpoints is attached to two points at $(x,h)$ and $(x+\Delta_x,h)$.
Further assume it has some mass density distribution, $\rho(m),m \in [0,l]$ and is of some length $l ...
- 26.1k
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2
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Solution to ODE from Newton's Second Law
I have attempted to explore Newton's second law (F = ma) further into its many differential forms. I am not very familiar with differential equations and was searching for the steps and methods to ...
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Amount of work required for pulling rope problem
50 m rope with 8 millimeters in diameter is dangling from an edge. density of rope =40 g/m. how much work to pull it up to edge?
// I've seen different variations of this problem, but I am unsure of ...
- 129
2
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1
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1k
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Are there any Applications of Abstract Algebra in Engineering?
As the title suggests, I was wondering whether there are any applications of abstract algebra in the engineering disciplines - and if so, what these are (not including basic linear algebra here, as ...
- 1,416
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1
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A tank is part of a cone with a 10 foot radius on top, 4 foot radius on bottom 12 feet below the top Water in the tank has depth 5 feet
A tank is part of a cone with a 10 foot radius on top and a 4 foot radius on bottom, 12
feet below the top. Water in the tank has depth 5 feet.
Provide an integral for the work
done pumping the water ...
- 9
1
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Dispersion of mid-air particles: scaling laws and similarity solutions of a function
I'm currently looking at some old questions from my undergraduate studies which I may not have fully understood but would like to understand now.
The initial stage of a dispersal process is very ...
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Applied Maths: Equations of Motion
"A particle of mass m moves in a straight line, so that at time t the particle has a displacement x measured from an origin O. The force acting on the particle is Fsin(ωt), where t is time, and F and ...
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