Fluid Mechanics Viscosity Question 172

Question: A solid sphere, of radius R acquires a terminal velocity $ v_{1} $ when falling (due to gravity) through a viscous fluid having a coefficient of viscosity h. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, $ v_{2} $ , when falling through the same fluid, the ratio $ (v_{1}/v_{2}) $ equals $ \frac{9}{x} $ . Find the value of x.

Solution:

Answer: 1