A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of V = 7.5 m/s. The two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 N·s/m2. The part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. If the plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. What would your response be if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top surface (h1)?

The answer is below

Explanation:

The constant velocity V = 7.5 m/s, viscosity (μ) = 0.9 N·s/m2,

a) The upper and lower shear force are given as:

Let us assume that both the upper and lower surfaces are stationary, Therefore:

h1 = 3 cm = 0.03 m

h2 = 1 cm = 0.01 m

For the upper surface, du = V - = 7.5 - 0 = 7.5 m/s.  dy = h1 = 0.03

For the lower surface, du = V - = 7.5 - 0 = 7.5 m/s.  dy = h2 = 0.01

32: from largest to smallest, this hierarchy includes eons, eras, periods, epochs, and ages.

33: answer is c

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