For the conditions of Problem 7.60, what are the terminal velocity and the tank height if engine

Question:

For the conditions of Problem 7.60, what are the terminal velocity and the tank height if engine oil at \(315 \mathrm{~K}\), rather than water, is used as the coolant?

Data From Problem 7.60:-

Copper spheres of \(20-\mathrm{mm}\) diameter are quenched by being dropped into a tank of water that is maintained at \(280 \mathrm{~K}\). The spheres may be assumed to reach the terminal velocity on impact and to drop freely through the water. Estimate the terminal velocity by equating the drag and gravitational forces acting on the sphere. What is the approximate height of the water tank needed to cool the spheres from an initial temperature of \(360 \mathrm{~K}\) to a center temperature of \(320 \mathrm{~K}\) ?

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