[tex] \underline{ \bf{\underline{\large{Terminal \: Velocity}}}}[/tex]
- The maximum constant velocity acquired by a body while falling through a viscous medium is called it's terminal velocity.
- It is usually denoted by [tex] \sf V_T [/tex].
- It is directly proportional to the square of the radius of the body (a²) & the difference of the densities of the body and the fluid [tex] \sf (\rho - \sigma) [/tex].
- It is inversely proportional to the viscosity of the medium [tex] \sf (\eta) [/tex].
- Formula of Terminal Velocity:[tex] \boxed{ \bf{V_T = \dfrac{2}{9} \dfrac{ {a}^{2} }{ \eta} ( \rho - \sigma)g}}[/tex]