The viscous drag F between two layers of liquid with surface area of constant A is a region of velocity gradient dv/dx is given by F=qAdv/dx where q is the coefficient of viscosity if the liquid,what is the dimension of q. Hence write the unit q in terms of the base S.I unit.
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An expression for coefficient of viscosity
When two parallel layers of a liquid are moving with different velocities , they experience tangential forces which tend to retardation the faster layer and accelerate the slower layer. These forces are called forces of viscosity. Consider two layers of liquid separated by a distance dz. Let v and v + dv be the velocities of two layers. So the velocity gradient is dv/dz. Let A be the surface area of the layer. The viscous force is directly proportional to the surface area A and velocity gradient dv / dz.
F ∝ A dv /dz or F = η A dv /dz
where η is a constant of viscosity for the liquid and called Coefficient of viscosity.
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