# The space of 20 mm between the two parallel vertical plates is filled with the oil of viscosity 2 N s/m2. Determine the shear stress in oil if one pla

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The space of 20 mm between the two parallel vertical plates is filled with the oil of viscosity 2 N s/m2. Determine the shear stress in oil if one plate is displaced with a velocity of 1 m/s
1. 100 N/m2
2. 150 N/m2
3. 200 N/m2
4. 50 N/m2

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Correct Answer - Option 1 : 100 N/m2

Concept:

The shear stress in oil if one plate is displaced with a certain velocity is given by,

$\tau = \mu \frac{V}{{{h_o}}}$

Where μ = Coefficient of the viscosity of the oil, V = velocity of the moving plate, ho = the clearance between the plates

Calculation:

Given:

μ = 2 N s/m2 , V = 1 m/s, ho = 20 mm = 0.020 m

$\tau = \frac{{\mu}V}{{{h_o}}} = \frac{2\times1}{0.020} = 100\; N/m^2$