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## Homework Statement

It is found the terminal velocity ut of a spherical particle in a fluid depends upon the diameter d of particle, the dynamic viscosity μ of fluid and the buoyancy weight W of the particle [given by the difference in density between the particle and the fluid (∆ρ) × gravitational acceleration (g)]. Determine the nature of the relationship between these variables.

## Homework Equations

## The Attempt at a Solution

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I'm not quite sure if I'm on the right track and where to go next from here? Any guidance or a nudge in the right direction would be appreciated. I can't help but think I have gone slightly wrong due to the number of indices to solve for.