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A consultant has been hired by the Food and Drug Administration (FDA) Catsup Division to evaluate a manufacturer's advertisement claims. The OrgoFoods company has developed
A consultant has been hired by the Food and Drug Administration (FDA) Catsup Division to evaluate a manufacturer's advertisement claims. The OrgoFoods company has developed a new pesticide-free catsup that they claim is " 20% slower" than the leading competitor's brand. When pressed for details, the OrgoFoods scientists say that this claim means that the yield stress of their product is 20% higher than that of the competitor's product. In order evaluate OrgoFood's claim, FDA scientists measured the yield stress of the two brands of catsup using a 'Bostwich viscometer', which consists of flow down an inclined plane, shown in the Figure below. Treat catsup as an incompressible Bingham plastic. Assume that the flow is fully developed and the plate width is very wide, such that the flow is one-dimensional. The thickness of the catsup is 0.5cm and the density is 2gcm3. The FDA scientists measured the angle at which the catsup first started to flow. Using the following data, determine the yield stress and evaluate the validity of the manufacturer's claim
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