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Determine the form of an equation for the distance (s) that a sphere will fall  in time t, if it starts with an initial velocity and the resistance of the fluid  through which it falls is taken into consideration.  Resistance is dependent  upon the density (ρ) and viscosity (μ) of the medium and the diameter (d)  and mass (m) of the sphere. Hence in addition to g, v and t these factors  are incorporated.   S = f (g, v, t, m, d, ρ, μ) USE DIMENSIONAL ANALYSIS AND BUCKINGHAM PI THEOREM

Determine the form of an equation for the distance (s) that a sphere will fall  in time t, if it starts with an initial velocity and the resistance of the fluid  through which it falls is taken into consideration.  Resistance is dependent  upon the density (ρ) and viscosity (μ) of the medium and the diameter (d)  and mass (m) of the sphere. Hence in addition to g, v and t these factors  are incorporated.   S = f (g, v, t, m, d, ρ, μ) USE DIMENSIONAL ANALYSIS AND BUCKINGHAM PI THEOREM

Elements Of Electromagnetics
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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Determine the form of an equation for the distance (s) that a sphere will fall 
in time t, if it starts with an initial velocity and the resistance of the fluid 
through which it falls is taken into consideration.  Resistance is dependent 
upon the density (ρ) and viscosity (μ) of the medium and the diameter (d) 
and mass (m) of the sphere. Hence in addition to g, v and t these factors 
are incorporated.  
S = f (g, v, t, m, d, ρ, μ)

USE DIMENSIONAL ANALYSIS AND BUCKINGHAM PI THEOREM

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