# Questions tagged [mathematics]

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### Intersection Origin-Destination matrices from observed time of traffic counts estimations

Suppose that the issue have one T-intersection (3-legs) and four intersection (4-legs) a data set including time-series of 20 min counts and each of intersection included of entering,exit,through,and ...
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### Solving for Dispersion in tracer experiment

I have the concentration results from a tracer study and the flowrate of gas/liquid. What math techniques should i look into for solving for DL in mass conservation equation? The tracer simplifies ...
41 views

### Impact of Gearbox on Motor Inertia

If you consider a motor attached to a spur gearbox with a reduction ratio of say $r=50:1$ which is then back-driven so that the motor acts as a generator, what would be the effective moment of inertia ...
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### Deriving the ideal equation for sluice gate problems - incompressible inviscid fluid

I'm trying to figure this problem out, i know the correct answer, and i know the method, but for some reason i'm missing something and i'm just not getting there, any help would be greatly appreciated....
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### How do I change the coordinate system from x-y to n-t or r-theta by using Matrix? [closed]

How do I change the coordinate system from two dimensional cartesian to two dimensional curve linear and polar by using Matrix?
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### What's the most anisotropic material? Is there a dense stiffness matrix?

The stiffness (aka. tangent modulus of the stress) can be represented as a symmetric 6-by-6 matrix, i.e. it has 21 independent components in the most general case. In the linear case, this matrix is ...
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### Why do we get singularities in a solutions while modelling a physical systems?

I wonder why do we get some times singularities (position to be infinity or velocity to be infinity) in the solutions while modelling a real system and in spite of taking all real parameter values of ...
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### Reformulate navier-stokes in terms of perturbation

I am reading this paper and trying to understand on page 14-15, First it rewrites Navier-Stokes in terms of a ''zero order problem'', and where $u_i = \mathscr{U}_i + u_i'$ , where $U_i$ is the base ...
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### Help with Engineering Mathematics, Struggling to determine coefficients using methods detailed in this research paper

I am struggling with a curve fitting calculation below. the part I am stuck with is arguably the simplest part, which is determining the coefficients $\\K_3$ and $\\K_4$. It seems like it should be ...
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### What is the condition of real eigen values other than symmetric matrix?

I have some difficulty to solve this question: What is the condition for real eigen values other than symmetric matrix?
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### Does every engineering design needs to have a complete theoretical backing or may experimental data suffice?

This may sound rather vague on its own so I will explain with examples. The solid booster rockets used by NASA space shuttle used a central bore design because it had a certain characteristic on ...
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### Boundary Conditions for a circular clamped plate

I've been trying to find the boundary conditions for a fourth order DE equation for a bending circular plate. I'm assuming angular symmetry and an even pressure distribution. Displacement Equation ...
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### Mathematical connection between systems of particles and rigid bodies

This question goes right back to the first principles of mechanics, so to speak. I'm confused as to the nature of forces applied to rigid bodies. Mathematically, a force acts on a particle of a known ...
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### Convert angular acceleration from (S/100Hz) to (RPM/s)

I'm writing a script that converts from a customer's preferred unit of $\frac{RPM}{s}$ and a device's input/output of $\frac{s}{100Hz}$ My Logic is as follows: Converting $\frac{RPM}{s}$ to \$\frac{s}{...
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### How to apply static failure criteria for bending stress in an angled cylindrical surface?

Let’s say I have an irregularly shaped bearing with a cross section that looks like the angled surface of a conical frustum, shown below. If a bending moment is applied which causes the inside ...
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### Laplace Equation — Heated Plate — Heat Flux Boundary Condition

I am having a problem with transferring the heat flux boundary conditions into a temperature to be able to put it into a matrix. I understand that deltat = deltax*q''/k but I do not know how to code ...