Moderate

A square plate of side 0.1 m moves steadily at a velocity of0.1 m/s through a thin layer of water of viscosity 0.01 poise. Theplate moves parallel to a large fixed plate, and the water forms auniform film between them. If a force of 0.002 N is required tomove the plate, what is the thickness (gap) of the water layerbetween the two plates?

Correct answer: D. 0.0005 m

  • A. 0.1 m
  • B. 0.05 m
  • C. 0.005 m
  • D. 0.0005 m

Explanation

For Couette flow F = η A v / d. Convert η = 0.01 poise = 0.001 Pa·s. A = 0.1×0.1 = 0.01 m², so d = η A v / F = (0.001×0.01×0.1)/0.002 = 5×10⁻⁴ m = 0.0005 m.

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