einstein

einstein - Matt Lang, MIT 21 kT := 4.1 10 the viscosity is...

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Matt Lang, MIT the viscosity is η kT := 4.1 10 J 21 5 kg η := 10 cm s For a microscopic object moving through a viscous medium, the force required to move the object will be proportional to the length of the object, the viscosity, the speed and a factor relating to the shape: looks like a frictional force? 3 kg η = 11 0 × ms Translational drag on a sphere, holds for low Reynold's 4 typical radius a := 1 1 0 cm number 3 cm typical speed ν := 210 the drag coefficient f is: s f sphere := 6 π⋅ 8 kg η⋅ a f sphere = 1.885 × 10 The force on this sphere is given by: s F sphere := f sphere ⋅ν 13 F sphere = 3.77 × 10 N The Reynold's number is the ratio of intertial forces to viscous forces where ρ is a density, the ρ := 10 3 kg density of water ⋅ν := R reynolds ρ η a cm 3 R reynolds = 21 0 × 5 we are in the low Reynolds # range For your reference, drag coefficients from Howard Berg's
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einstein - Matt Lang, MIT 21 kT := 4.1 10 the viscosity is...

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