This problem involves a cylinder falling inside a pipe that is flled with oil, as depicted in the figure. The small space between the cylinder and the pipe is lubricated with an oil film that has absolute viscosity a. (a) Derive a formula for the steady rate of descent of a cylinder with weight W, diameter d, and length e sliding inside a vertical smooth pipe that has inside diameter D. Assume that the cylinder is concentric with the pipe as it falls. (b) Use tbe general formula you derive to find the rate of descent of a cylinder 100mm in diameter that slides inside a 100.5mm diameter pipe. The cylinder is 200mm long and weighs 15N. The lubricant is SAE 20W oil with a viscosity of 2.0 x 10-3Pas.

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This problem involves a cylinder falling inside a pipe that is
flled with oil, as depicted in the figure. The small space between the cylinder and
the pipe is lubricated with an ol film that has absolute viscosity p. (a) Derive
a formula for the steady rate of descent of a cylinder with welght W, diameter
d, and length l sliding inside a vertical smooth pipe that has inside diameter D.
Assume that the cylinder is concentric with the pipe as it falls. (b) Use the general
formula you derive to find the rate of descent of a cylinder 100mm in diameter
that slides inside a 100.5mm diameter pipe. The cylinder is 200mm long and
weighs 15N. The lubricant is SAE 20W ol with a viscosity of 2.0 x 10-?Pa s.
Pipe
Oil film
Cylinder
Transcribed Image Text:This problem involves a cylinder falling inside a pipe that is flled with oil, as depicted in the figure. The small space between the cylinder and the pipe is lubricated with an ol film that has absolute viscosity p. (a) Derive a formula for the steady rate of descent of a cylinder with welght W, diameter d, and length l sliding inside a vertical smooth pipe that has inside diameter D. Assume that the cylinder is concentric with the pipe as it falls. (b) Use the general formula you derive to find the rate of descent of a cylinder 100mm in diameter that slides inside a 100.5mm diameter pipe. The cylinder is 200mm long and weighs 15N. The lubricant is SAE 20W ol with a viscosity of 2.0 x 10-?Pa s. Pipe Oil film Cylinder
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