# Tag Info

## New answers tagged mathematics

### Iterative Method through FEM

This is an optimization problem, or a root finding problem of the non-linear function $$f(y) = F_z(y) - F_z' =0$$ Since this is an FEA-based function, you do not have an analytical expression of the ...
• 703

### Mathematical transformation of a heading angle to a roll angle

For simplicity, let's consider the no-wind case: Heading Error Calculation: like a proportional controller, the function uses the heading error: ...
• 906
1 vote

### Difficulty in understanding the trigonometry in applying the momentum equation for a stream tube

You differential element is At an angle $\theta \$with respect to x axis but the weight vector is pointing down. . You can think of $F_g.sin \theta$ as the inclined component of the weight of the ...
• 22.5k
1 vote
Accepted

### Difficulty in understanding the trigonometry in applying the momentum equation for a stream tube

Since $\sin(\theta)\in [-1, 1]$, that would mean $\left|F_g/\sin(\theta)\right|\ge F_g$. So $F_g$ would produce greater force than itself in the $s$ direction and as the angle $\theta$ approaches 0, ...
• 1,245

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