飞机撞鸟能量分析

1. 动能

• 鸟被撞后粘在飞机✈️上 飞机速度为v 鸟近似为球形 半径为r 密度为 ${\rho}$

$$W = Fd = \frac{1}{2}m{v^2}$$

$$V = \frac{4}{3}{\pi}{r^3}$$

$$m = V{\rho}$$

$$F = \frac{2}{3}{\pi}{r^2}{\rho}$$

2. 动量

$$Ft = mv$$

$$t = 2r / v$$

$$F = \frac{mv}{t} = \frac{mv^2}{2r}$$

参考

https://tc.canada.ca/en/aviation/publications/sharing-skies-guide-management-wildlife-hazards-tp-13549/appendix-121-bird-impact-forces-physics

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