Question #130092

A plate having an area of 0.6 m2

is sliding down an inclined plane

at 30° to the horizontal with a velocity of 0.36 m/s. There is a

cushion of fluid 1.8mm thick between the plane and the plate. Find

the viscosity of the fluid if the weight of the plate is 280N?

is sliding down an inclined plane

at 30° to the horizontal with a velocity of 0.36 m/s. There is a

cushion of fluid 1.8mm thick between the plane and the plate. Find

the viscosity of the fluid if the weight of the plate is 280N?

Expert's answer

"F=\\eta\\frac{\\Delta v}{\\Delta x}A\\to \\eta=\\frac{F}{\\frac{\\Delta v}{\\Delta x}A}="

"=\\frac{mg\\sin30\u00b0}{\\frac{\\Delta v}{\\Delta x}A}=\\frac{280\\sin30\u00b0}{\\frac{0.36}{1.8\\cdot10^{-3}}\\cdot0.6}=1.17(Pa\\cdot s)"

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