Question

there is a 1 mm thick layer of oil between a flat plate of area 10 to the power minus 2 metres square black plate how much force is required to move the played with a velocity of 1.5 metre per second the coefficient of viscosity of oil is 1 poise​

Answer 1

Force required to move the plate is 1.5 N.

Explanation:

1. On apply force on plate, there are viscous force act on plate to resist the motion.

2. For moving the plate minimum force to be act on plate is equal to viscous force.

3. Where viscous force(F)

  $F=\tau \times A$

 Where $\tau$ = Shear stress = $\mu \times \frac{U}{t}$

4. So

   viscous force(F) =$\mu \times \frac{U}{t}\times A$      ...1)

  Where

  $\mu$ = Coefficient of viscosity of liquid = 1 Poise = 0.1$(\frac{Ns}{m^{2}})$

 U = Speed of plate = 1.5 $(\frac{m}{s})$

t = Thickness of liquid = 1 mm =0.001 (m)

A = Area of plate = $10^{-2}(m^{2})$

5. From equation 1)

    F = $0.1 \times \frac{1.5}{0.001}\times 10^{-2}$

  So force (F)= 1.5 N

Answer 2

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