# Stokes' Formula

## The force of viscosity acting on a smooth sphere

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The force of viscosity acting on a smooth sphere in stream line motion can be expressed with Stokes' formula:

*F = 6 π η r v (1)*

*where *

*F = force (N)*

*η = viscosity of fluid*

*r = radius of sphere (m)*

*v= relative velocity between fluid and sphere (m/s)*

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