Oil is confined in a 4-in.-diameter cylinder by a piston having a radial clearance of (0.001 mathrm{in}).

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Oil is confined in a 4-in.-diameter cylinder by a piston having a radial clearance of \(0.001 \mathrm{in}\). and a length of \(2 \mathrm{in}\). A steady force of \(4500 \mathrm{lbf}\) is applied to the piston. Assume the properties of SAE 30 oil at \(120^{\circ} \mathrm{F}\). Estimate the rate at which oil leaks past the piston.

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