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A plate of metal 100 cm^{2} in area rests on a layer of castor

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A plate of metal 100 cm $^{2}$ in area rests on a layer of castor oil 2mm thick, whose coefficient of viscosity is 15.5 poise. The horizontal force required to move the plate with a uniform speed of $3 c m s^{- 1}$ is:

28,250 dyne

23,250 Newton

23,250 dyne

28,250 Newton

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A plate of metal 100 cm

^{2}

in area rests on a layer of castor oil 2mm thick, whose coefficient of viscosity is 15.5 poise. The horizontal force required to move the plate with a uniform speed of

3 c m s^{- 1}

is:

13 mins ago

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13 mins ago

Text solutionVerified

Force =

η A \frac{d v}{d y}

Now,

\frac{d v}{d y} = \frac{3 c m / s}{\frac{2}{10} c m} = 15 s^{- 1}

So, force=

= 100 \times 15.5 \times 15 d y n e

= 23250 d y n e

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Question Text	A plate of metal 100 cm $^{2}$ in area rests on a layer of castor oil 2mm thick, whose coefficient of viscosity is 15.5 poise. The horizontal force required to move the plate with a uniform speed of $3 c m s^{- 1}$ is:
Answer Type	Text solution:1
Upvotes	150

A plate of metal 100 cm2 in area rests on a layer of castor oil 2mm thick, whose coefficient of viscosity is 15.5 poise. The horizontal force required to move the plate with a uniform speed of 3cms−1 is:

Text solutionVerified

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A plate of metal 100 cm $^{2}$ in area rests on a layer of castor oil 2mm thick, whose coefficient of viscosity is 15.5 poise. The horizontal force required to move the plate with a uniform speed of $3 c m s^{- 1}$ is: