What is Terminal Velocity?
Terminal velocity is defined as the highest velocity attained by an object falling through a fluid. It is observed when the sum of drag force and buoyancy is equal to the downward gravity force acting on the object. The acceleration of the object is zero as the net force acting on the object is zero.
How to find Terminal Velocity?
In fluid mechanics, for an object to attain its terminal velocity, it should have a constant speed against the force exerted by the fluid through which it is moving.
The mathematical representation of terminal velocity is:
Where,
vt is the terminal velocity, m is the mass of the falling object, g is the acceleration due to gravity, Cd is the drag coefficient, 𝜌 density of the fluid through which the object is falling, and A is the area projected by the object.
Terminal Velocity Derivation
Deriving terminal velocity using mathematical terms according to the drag equation as follows:
Where b is the constant depending on the type of drag
Where,
After integration,
After substituting for vt
Therefore, above is the derivation of terminal velocity.
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Related Physics Articles:
Acceleration Due to Gravity | Universal Law Of Gravitation |
What is a Frictional force? | Fluid Friction |
Frequently Asked Questions – FAQs
When does terminal velocity exist?
What is terminal velocity?
Who discovered terminal velocity?
Does terminal velocity exist in a vacuum?
How does terminal velocity work?
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