Terminal Velocity Calculator
Calculate terminal velocity of a falling object using vt = sqrt(2 * m * g / (rho * A * Cd)).
Terminal Velocity
42.78 m/s
Terminal Velocity vs Mass
सूत्र
## 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))**
हल किया गया उदाहरण
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
अक्सर पूछे जाने वाले प्रश्न
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.
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