Answer to Question #130092 in Mechanics | Relativity for Ariyo Emmanuel

Question

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?

Answer 1

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

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