einstein

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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online