A cylinder falls down the inside of an oil-filled pipe as shown. The small space between the pipe and cylinder is lubricated with a film of oil with a viscosity mu. Derive a formula for the steady state rate of descent of the cylinder with weight, W, diameter, d, and length, l, slinding inside the vertical smooth pipe with diameter, D. Assume the cylinder is concentric with the pipe as it falls. Use the general formula to find the rate of descent of a cylinder 100mm in diameter that slides inside a 100.5mm inside diameter pipe. The cylinder is 200mm long and weights 15N. The lubricant is SAE 20W oil at 10oC.
A cylinder falls down the inside of an oil-filled pipe as shown. The small space between the pipe and cylinder is lubricated with a film of oil with a viscosity mu. Derive a formula for the steady state rate of descent of the cylinder with weight, W, diameter, d, and length, l, slinding inside the vertical smooth pipe with diameter, D. Assume the cylinder is concentric with the pipe as it falls. Use the general formula to find the rate of descent of a cylinder 100mm in diameter that slides inside a 100.5mm inside diameter pipe. The cylinder is 200mm long and weights 15N. The lubricant is SAE 20W oil at 10oC.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A cylinder falls down the inside of an oil-filled pipe as shown. The small space between the pipe and cylinder is lubricated with a film of oil with a viscosity mu. Derive a formula for the steady state rate of descent of the cylinder with weight, W, diameter, d, and length, l, slinding inside the vertical smooth pipe with diameter, D. Assume the cylinder is concentric with the pipe as it falls.
Use the general formula to find the rate of descent of a cylinder 100mm in diameter that slides inside a 100.5mm inside diameter pipe. The cylinder is 200mm long and weights 15N. The lubricant is SAE 20W oil at 10oC.
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