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A plate of area 100 cm^2 is placed on the upper surface of cas

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A plate of area 100 $c m^{2}$ is placed on the upper surface of castor oil, 2 mm thick. Taking the coefficient of viscosity to be 15.5 poise , calculate the horizontal force necessary to move the plate with a velocity 3 cm $s^{- 1} .$

0.28 N

0.2455 N

0.2325 N

0.1 N

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Charlotte Discussed

A plate of area 100

c m^{2}

is placed on the upper surface of castor oil, 2 mm thick. Taking the coefficient of viscosity to be 15.5 poise , calculate the horizontal force necessary to move the plate with a velocity 3 cm

s^{- 1} .

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Text solutionVerified

Area

A = 100㎠ = 100 \times 10^{- 4} ㎡

Thickness

d x = 2㎜ = 2 \times 10^{- 3} m

Co efficient of viscosity

= 15.5

poise

= 1.55

Velocity

= 3㎝ s^{- 1} = 3 \times 10^{- 2} ㎧

F = η A (\frac{d v}{d x})

= \frac{15.5 \times 10 ^{- 1} \times 100 \times 3 \times 10 ^{- 4} \times 10 ^{- 2}}{2 \times 10 ^{- 3}}

= \frac{23.25 \times 10 ^{- 7}}{10 ^{- 5}}

F = 0.2325 N

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Question Text	A plate of area 100 $c m^{2}$ is placed on the upper surface of castor oil, 2 mm thick. Taking the coefficient of viscosity to be 15.5 poise , calculate the horizontal force necessary to move the plate with a velocity 3 cm $s^{- 1} .$
Answer Type	Text solution:1
Upvotes	150

A plate of area 100 cm2 is placed on the upper surface of castor oil, 2 mm thick. Taking the coefficient of viscosity to be 15.5 poise , calculate the horizontal force necessary to move the plate with a velocity 3 cm s−1.

Text solutionVerified

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A plate of area 100 $c m^{2}$ is placed on the upper surface of castor oil, 2 mm thick. Taking the coefficient of viscosity to be 15.5 poise , calculate the horizontal force necessary to move the plate with a velocity 3 cm $s^{- 1} .$