Engineering
Physics
Viscosity
Question

A spherical solid ball of volume V is made of a material of density ρ1. It is falling through a liquid of density ρ22 < ρ1). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed υ, i.e., Fviscous = – kυ2 (k > 0). The terminal speed of the ball is:

Vgρ1ρ2k

Vgρ1k

Vgρ1ρ2k

Vgρ1k

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Solution
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ρ2Vg+kv2=ρ1Vg

y=ρ1ρ2Vgk

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