What will be the drag force exerted on a flat plate of size 2 m x 2 m, when the plate is moving at a speed of 4 m/s normal to its plane in water? [Consider, Coefficient of drag = 1.2]

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  1. 38.4 kN
  2. 32.2 kN
  3. 45.7 kN
  4. 40.2 kN

Answer (Detailed Solution Below)

Option 1 : 38.4 kN
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Concept:

Drag force on a body moving in fluid is given by:

\( F_D = \frac{1}{2} C_D \rho A V^2 \)

Given:

  • Coefficient of drag, \( C_D = 1.2 \)
  • Density of water, \( \rho = 1000~\text{kg/m}^3 \)
  • Plate area, \( A = 2 \times 2 = 4~\text{m}^2 \)
  • Velocity, \( V = 4~\text{m/s} \)

Calculation:

\( F_D = \frac{1}{2} \times 1.2 \times 1000 \times 4 \times 16 = 38400~\text{N} = {38.4~\text{kN}} \)

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