终端速度计算器 — 公式
## Terminal Velocity
Terminal velocity is reached when air drag equals gravitational force, producing zero net acceleration.
### Derivation
Setting weight equal to drag: m*g = (1/2)*rho*v²*Cd*A
Solving: **vt = sqrt(2*m*g / (rho*A*Cd))**
Terminal velocity is reached when air drag equals gravitational force, producing zero net acceleration.
### Derivation
Setting weight equal to drag: m*g = (1/2)*rho*v²*Cd*A
Solving: **vt = sqrt(2*m*g / (rho*A*Cd))**
计算示例
A skydiver (80 kg, belly-down, A = 0.7 m², Cd = 1.0) in standard atmosphere.
- vt = sqrt(2 * m * g / (rho * A * Cd))
- vt = sqrt(2 * 80 * 9.81 / (1.225 * 0.7 * 1.0))
- vt = sqrt(1569.6 / 0.8575)
- vt = sqrt(1830.6)
- vt ≈ 42.8 m/s ≈ 154 km/h