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When the buoyancy effects are taken into account, an object falling through a fluid under its own weight can reach a terminal velocity (settling velocity) if the net force acting on the object becomes zero. When the terminal velocity is reached the weight of the object is exactly balanced by the upward buoyancy force and drag force.
Jun 30, 2024 · Learn how to calculate terminal velocity using a simple equation and a calculator. Find out the factors that affect terminal velocity and see examples for different objects and mediums.
Sep 22, 2022 · Terminal velocity is the constant speed an object acquires after falling through fluid, like air. It occurs when the sum of the buoyant force and the drag force equals the force due to gravity. The terminal velocity is the highest velocity during the object’s fall.
Mar 11, 2024 · Use the terminal velocity formula, v = the square root of ((2*m*g)/(ρ*A*C)). Plug the following values into that formula to solve for v, terminal velocity. m = mass of the falling object; g = the acceleration due to gravity. On Earth this is approximately 9.8 meters per second squared.
Stoke’s Law Equation. Sir George G. Stokes, an English scientist, clearly expressed the viscous drag force F as: \ (\begin {array} {l}F=6\pi \eta rv\end {array} \) Where r is the sphere radius, η is the fluid viscosity, and v is the sphere’s velocity.
Terminal velocity formula is applied to calculate terminal velocity, acceleration due to gravity or height if any of these quantities are known. Terminal velocity is expressed in meter per second (m/s) .
Example \(\PageIndex{1}\): Terminal Velocity of a Skydiver. Find the terminal velocity of an 85-kg skydiver falling in a spread-eagle position. Strategy. At terminal velocity, \(F_{net} = 0\). Thus, the drag force on the skydiver must equal the force of gravity (the person’s weight).
