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Cavitation Problem in a Sphere

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A sphere 1 foot in diameter is moving at a depth of 10 feet below a water surface where the water temp is 50 degrees F. At what speed will cavitation first appear?

Please show work and any assumptions.

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Problem:

A sphere 1 foot in diameter is moving at a depth of 10 feet below a water surface where the water temp is 50 degrees F. At what speed will cavitation first appear?

Solution:

I prefer to work in Si units and finally, I can convert the results in any other systems of units.
The entry data are:
D = 1 ft = 0.3048 m
h = 10 ft = 3.048 m
T = 50F = 10C
Assumptions:

1) The ambient ...

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