Set up a coordinate system that rotates with the impeller. Monitor the average relative velocity of the [i,j,k] components in the rotating coordinate system. Create a vector function using the monitored [i,j,k] values. Looking at the results, while the magnitude of the v...
In summary, the magnitude of the projection of force F = 700 N along the u axis is 290 N. To find this, a unit vector along the u-axis was constructed using trigonometry, and then the dot product was used to find the projection of F along this direction. The final answer was ...
An arrangement is provided for computing the magnitude value of the vector sum of two quadrature-related component signals I and Q with a minimal of hardware. To this end, the magnitude values of the orthogonal I and Q signals are applied to a ROM as address codes to produce the Log. ...
The diagonalization of matrices may be the top priority in the application of modern physics. In this paper, we numerically demonstrate that, for real symmetric random matrices with non-positive off-diagonal elements, a universal scaling relationship between the eigenvector and matrix elements exists....
I am not getting anywhere on this one. Here is the problem at hand: Let's say there are two SOLID objects, both made of the same material... (let's say...
23. The Second Law of Thermodynamics3h 11m 3. Vectors Topic summary Created using AI To calculate thevectorproductA×Busing unit vector components, first create a table of the x, y, and z components for both vectors. Then, apply the formulaCx=AyBz−AzBy,Cy=AzBx−AxBz, andCz=AxBy...
{E}_{0}\cos \theta {/eq}. The intensity of an electromagnetic wave, {eq}I {/eq}, is proportional to the square of the magnitude of the electric field vector. Therefore, we can find the formula for the intensity of the polarized wave to be $$I_{t}=I_{0}\cos^{2}{\theta} ...
its specific unbalance calculated from the dynamic unbalance vectors (magnitude, angular position) in the rotor obtained by the vector calculation method on the basis of the ratios of the distances between the bearings to the distance between the two correction planes chosen arbitrarily in the rotor...
A work-around I tried was to simply make my own strain rate tensor, E, using a symmetric tensor field function. The formula is E = 1/2 (∇V + ∇V^T), where ∇V is the divergent of the velocity vector and ∇V^T is its transpose. The problem I then ran into is that I...
The surface electric field analysis of the converter valve shield system is a large-scale electrostatic field problem, which is difficult to analyse. The fast multipole boundary element method (FMBEM), which is suitable for solving large-scale problems, can accelerate the computation speed and conse...