Problem 7: Stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes' law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density 7.6 x 10^3 kg/m^3, radius 0.65 mm) is dropped in a container of motor oil. It takes 105 seconds to fall a distance of 0.55 m.
Randomized Variables:
d = 7.6 x 10^3 kg/m^3
r = 0.65 mm
t = 105 s
h = 0.55 m
Calculate the viscosity of the oil assuming the ball achieves terminal velocity immediately: