Geometrically similar spheres of the same material fall terminally through the same viscous liquid and obey Stokes' law. Which scaling statements are correct?
Select all that apply

Question

Geometrically similar spheres of the same material fall terminally through the same viscous liquid and obey Stokes' law. Which scaling statements are correct?

G1 Physics · Accepted Answer

For fixed sphere and liquid densities, vₜ ∝ r². At terminal speed, F(viscous) = effective weight ∝ volume ∝ r³. Power dissipated as heat: P = F(viscous)vₜ ∝ r³×r² = r⁵. Heat over a fixed distance H: Q = F(viscous)H ∝ r³. Therefore all four statements are correct.