Multiple choice

A thin flat plate 0.5 m x 0.7 m in size settles in a large tank of water with a terminal velocity of 0.12 m/s. The coefficient of drag$C_D = \frac{1.328}{\sqrt{R_L}}$for a laminar boundary layer and$C_D = \frac{0.072}{(R_L)^{1/5}}$for a turbulent boundary layer, where RL is the plate Reynolds number. Assume $\mu$= 10-3 N-s/m2 and $\rho$= 1000 kg/m3 The submerged weight of the plate is

  1. 0.0115 N

  2. 0.0118 N

  3. 0.0231 N

  4. 0.0376 N
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A Correct answer
Explanation

The submerged weight of the plate equals the drag force at terminal velocity. Calculate the Reynolds number, determine the drag coefficient, and solve for the drag force.

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