Experimental Question 1 Terminal velocity in a viscous liquid An object falling in a liquid will eventually reach a constant velocity, called the terminal velocity . The aim of this experiment is to measure the terminal velocities of objects falling through glycerine. For a sphere of radius r falling at velocity v through a viscous liquid, the viscous force F is given by F = 6 πηrv . Here η is a property of the liquid called the viscosity . In this experiment you will measure the terminal velocity of metal cylinders (because cylinders are easier to make than spheres). The diameter of each cylinder is equal to its length, and we will assume the viscous force on such a cylinder is similar to the viscous force on a sphere of the same diameter, 2 r : F cyl = 6 πκηr m v (1) where κ = 1, m = 1 for a sphere. Preliminary Calculation of terminal velocity (2 marks) If ρ is the density of the culinder and ρ0 is the density of the liquid, show that the terminal velocity v T of the cylinder is given by
This is the end of the preview.
access the rest of the document.