The condition for achieving terminal speed is weight = Buoyant force + Viscous force

weight = volume * density * g

weight = \( V\rho _{1}g \)

Buoyantforce =\( V\rho _{2}g \) \( \rho _{2} \) = density of liquid

Viscous force = \( KV t^{2} \)

V t = Terminal velocity

\( V\rho _{1}g + KV t^{2} \)

Terminal velocity, \( V t = \frac{\sqrt{V_{g}(\rho _{1} – \rho _{2})}}{\sqrt{K}} \)

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