0
votes
0answers
28 views

Help me obtain the pressure equation for a gas in a spherical coordinates

Assume a sphere filled with $n$ gas particles moving freely. if we draw a circle with an area of $dA$ on the inside wall of the sphere, how many particles with velocity $v$ and angles $\theta$ and ...
2
votes
2answers
373 views

Projection of a 3D spherical distribution function in to a 2D cartesian plane

Consider a 3D spherical Gaussian distribution function that depends on radius only, $$f(r) = \frac{1}{N} e^{-(\frac{r-R_\mu}{\sigma})^2}$$ where $R_\mu$ is the radial offset of the distribution and ...
0
votes
1answer
50 views

Coordinates transformation and falling body trajectory

As it's well known, assuming the earth fixed and non rotating, the trajectory of a falling body with initial speed $v_0 = \{v_{0x},v_{0y},{v_{0z}}\}$ is contained in a plane. Assuming an observer in ...
2
votes
1answer
177 views

Equation for the sensitivity pattern of a bi-directional microphone?

Can anyone give me an equation that expresses the sensitivity pattern of a bi-directional microphone, as a function of azimuth and elevation angle? A bi-directional microphone pattern looks something ...