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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