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Stokes’ law describes sedimentation of particles in
Chapter 5, Problem 28(choose chapter or problem)
Problem 28PE
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 7.8×103 kg/m3 , diameter 3.0 mm ) is dropped in a container of motor oil. It takes 12 s to fall a distance of 0.60 m. Calculate the viscosity of the oil.
Questions & Answers
QUESTION:
Problem 28PE
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 7.8×103 kg/m3 , diameter 3.0 mm ) is dropped in a container of motor oil. It takes 12 s to fall a distance of 0.60 m. Calculate the viscosity of the oil.
ANSWER:
Step 1 of 6:
The particles freely left in a liquid will settle after a while is known as sedimentation. If we know the distance traveled by the particle and the time taken to reach that distance, we can able to measure the terminal velocity of that particular particle. This terminal velocity can be used to measure the viscosity of the fluid. Our aim is to determine the viscosity of motor oil by suspending a ball bearing in it.