A solid cylinder of diameter D, length L, and density p, falls due to gravity inside a tube of diameter Do. The clear- ance, Do – D<< D, is filled with fluid of density p and viscosity µ. Neglect the air above and below the cylinder. Derive a formula for the terminal fall velocity of the cylin- der. Apply your formula to the case of a steel cylinder, D = 2 cm, Do = 2.04 cm, L = 15 cm, with a film of SAE 30 oil at 20°C. - %3D

Elements Of Electromagnetics
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P1.59 A solid cylinder of diameter D, length L, and density Ps
falls due to gravity inside a tube of diameter Do. The clear-
ance, Do - D<< D, is filled with fluid of density p and
viscosity µ. Neglect the air above and below the cylinder.
Derive a formula for the terminal fall velocity of the cylin-
der. Apply your formula to the case of a steel cylinder,
D = 2 cm, Do = 2.04 cm, L = 15 cm, with a film of SAE
%3D
30 oil at 20°C.
Transcribed Image Text:P1.59 A solid cylinder of diameter D, length L, and density Ps falls due to gravity inside a tube of diameter Do. The clear- ance, Do - D<< D, is filled with fluid of density p and viscosity µ. Neglect the air above and below the cylinder. Derive a formula for the terminal fall velocity of the cylin- der. Apply your formula to the case of a steel cylinder, D = 2 cm, Do = 2.04 cm, L = 15 cm, with a film of SAE %3D 30 oil at 20°C.
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