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There is a 1 mm thick layer of glycerine between a flat plate

Question

There is a $1 mm$ thick layer of glycerine between a flat plate of area $10 c m^{2}$ & a big fixed plate. If the coefficient of viscosity of glycerine is $1.0 k g / m - s$ , then how much force is required to move the plate with a velocity of $7 c m / s$ .

3.5 N

0.7 N

1.4 N

None

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Noah Discussed

There is a

1 mm

thick layer of glycerine between a flat plate of area

10 c m^{2}

& a big fixed plate. If the coefficient of viscosity of glycerine is

1.0 k g / m - s

, then how much force is required to move the plate with a velocity of

7 c m / s

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Using the relation

τ = \frac{F}{A} = μ \frac{d u}{d y}

where F = force is required to move the plate

τ

= Shear stress
A = Area of plate

μ

= coeffecient of viscosity of glycerine
y = gap
u = velocity

\frac{F}{1 0 ^{- 2}} = 1 \times \frac{0.07}{0.001}

.
Thus F = 0.7 N

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Question Text	There is a $1 mm$ thick layer of glycerine between a flat plate of area $10 c m^{2}$ & a big fixed plate. If the coefficient of viscosity of glycerine is $1.0 k g / m - s$ , then how much force is required to move the plate with a velocity of $7 c m / s$ .
Answer Type	Text solution:1
Upvotes	150