Fluid MechanicsMedium

Question

A spherical solid ball of volume V is made of a matrial of density ρ1. It is falling through a liquid of density ρ1(ρ2 < ρ1). Assume that the liquid applies a visous forcw of its speed v,i.e., Fviscous = - kv(k > 0) The terminal speed of the ballis

Options

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Solution

he condition for terminal speed (Vt) is Weight = Buoyant force + Viscous force
∴ Vρ1g = Vρ1g + kvt2
vt =

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