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PRACTICE / Stokes law

A larger sphere falls through syrup

Two spheres of the same dense material fall in the same viscous fluid in the Stokes regime. One has three times the other’s radius.

Find the ratio of the larger sphere’s terminal speed to the smaller one’s.

Organize the givens & assumptions
  • Rlarge = 3Rsmall
  • same densities and viscosity

Dense rigid spheres, same material and fluid; creeping Stokes flow, negligible wall effects and terminal steady speed.

  1. A33
  2. B2727
  3. C1/91/9
  4. D99

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