Question

Two large parallel plates are separated by a small gap of distance 2 mm. See figure below. A fluid with dynamic viscosity µ = 10-3 Pa.s fills the gap between the plates. The surface area of each side of the plates is 2 m2. The top plate has a velocity 2.0 m/s in the
x-direction, while the bottom plate has velocity 0.7 m/s in the x-direction. A negative velocity signifies a velocity in the negative x-direction.

Determine the magnitude of the shear force (Fτ) on each plate in Newtons.