A thin coating is to be applied to both sides of a piece of thin plastic that is being mechanically transported. The plastic is 4.5- µm-thick and 0.0254-meters-wide and is very long. We want to coat a specific length of the plastic that is 1 meter in length. This thin plastic will break if the force applied exceeds 20 lb_f. The thin coating is made by transporting the plastic mechanically through a narrow gap that determines the thickness of the coating. The plastic is centered in the gap, with a clearance of 1.0 µm on the top and bottom. The fluid coating at 80°F has the following properties: density = 52.5 Ib_m/ft³. heat capacity = 0.453 Btu/Ib_m°F, viscosity = 6.95 × 10^-3 Ib_m/ft-s. and kinematic viscosity = 1.33 × 10^-4 ft²/s, and completely fills the space between the plastic and gap for a length of 0.75 inches along the plastic. Calculate the velocity with which the tape can be transported through the gap so that the tape does not break.