Consider a Falling Sphere Viscometer, which is used to measure the viscosity μ of a fluid by observing the terminal velocity of a heavy sphere (density Ps and diameter D) falling under gravity in a column of the fluid (density pf). (a) Use Dimensional Analysis to derive a formula for the drag force exerted on the sphere by the viscous fluid when it is moving at speed v through the fluid. (b) How is the terminal velocity of the sphere related to the fluid viscosity? (c) If the sphere starts from rest, use Dimensional Analysis to predict the timescale over which the sphere will reach its terminal velocity. Please use dimensiona analysis to solve the problem Answr for part a= Fd=KmuVD answer for part b=V=Fd/kmuD Please solve only for part C (part a and b no need to solve)and expalin in detail Thanks

Consider a Falling Sphere Viscometer, which is used to measure the viscosity μ of a fluid by observing the terminal velocity of a heavy sphere (density Ps and diameter D) falling under gravity in a column of the fluid (density pf). (a) Use Dimensional Analysis to derive a formula for the drag force exerted on the sphere by the viscous fluid when it is moving at speed v through the fluid. (b) How is the terminal velocity of the sphere related to the fluid viscosity? (c) If the sphere starts from rest, use Dimensional Analysis to predict the timescale over which the sphere will reach its terminal velocity. Please use dimensiona analysis to solve the problem Answr for part a= Fd=KmuVD answer for part b=V=Fd/kmuD Please solve only for part C (part a and b no need to solve)and expalin in detail Thanks

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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