免费终端速度计算器
计算物体在空气中下落的终端速度。
Terminal Velocity
42.78 m/s
Terminal Velocity vs Mass
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))**
计算示例
A skydiver (80 kg, belly-down, A = 0.7 m², Cd = 1.0) in standard atmosphere.
- 01vt = sqrt(2 * m * g / (rho * A * Cd))
- 02vt = sqrt(2 * 80 * 9.81 / (1.225 * 0.7 * 1.0))
- 03vt = sqrt(1569.6 / 0.8575)
- 04vt = sqrt(1830.6)
- 05vt ≈ 42.8 m/s ≈ 154 km/h
常见问题
What is a typical terminal velocity for a skydiver?
About 55 m/s (200 km/h) in a belly-down position, or up to 90 m/s (320 km/h) in a head-down dive.
Does mass affect terminal velocity?
Yes. Heavier objects (with the same shape) reach higher terminal velocities because more gravitational force is needed to balance drag.
What is the drag coefficient?
A dimensionless number that characterizes the aerodynamic drag of an object. A sphere has Cd around 0.47; a flat plate perpendicular to flow is about 1.28.
学习