Yes. This sounds like a falling ball viscometer test. It is often used to measure the viscosity of highly viscous fluids. You do a force balance on the ball, taking into account the buoyant force on the ball, the weight, and the drag force. The drag force of the fluid on the ball is given by the equations you wrote down. This is called Stokes' Law.Panphobia said:Homework Statement
Finding the viscosity of oil...
Homework Equations
η = b/(6∏r)
Fr = -bv
The Attempt at a Solution
The question only gives a radius, mass, density of oil, and terminal velocity. Is it possible to get the viscosity with the given information?
Panphobia said:Ok so I just saw that the velocity given was the terminal velocity so then Fr = mg, and you can figure out b and η pretty easily. What I do not understand is this, if you wanted to get the time it takes for this object to go from 0 to half the terminal velocity, how would you get the it if the acceleration of the object is not constant?
That's the solution to the equation I gave you with the buoyant force neglected and v(0) = 0. You did know that, in the equation I gave you, you were supposed to substitute a = dv/dt, right?Panphobia said:but this has nothing to do with getting the time for the ball to get to half of terminal velocity right? the terminal velocity = 4 cm/s, so half = 2 cm/s, even if I got the acceleration of the ball at that instant, that wouldn't bring me any closer to finding the time, right? Can v(t) = -(mg*e^((-b/m)t))/b + mg/b give me the right time?
Laminar flow is a type of fluid motion where the particles move in smooth, parallel layers with no cross-mixing between layers.
In turbulent flow, the particles move in a chaotic and unpredictable manner, with frequent mixing between layers. In laminar flow, the particles move in an orderly manner with little to no mixing.
Viscosity is a measure of a fluid's resistance to flow. In laminar flow, the viscosity of the fluid affects the speed and smoothness of the flow.
To determine the viscosity of oil using laminar flow, you can perform a simple experiment where you measure the time it takes for the oil to flow through a narrow tube. The longer the time, the higher the viscosity of the oil.
Laminar flow and viscosity are important concepts in many fields of science, such as fluid mechanics, chemistry, and engineering. Understanding these concepts can help scientists and engineers design better systems and predict the behavior of fluids in various situations.