This problem involves a cylinder falling inside a pipe that is 6led with oll, aAs depicted in the figure. The small space between the cylinder and the pipe is labricated with an oll film that has absolute viscosity a. (a) Derive a formula for the steady rate of descent of a cylinder with welght W, diameter d. and length t sliding inside a vertical smooth pipe that has inside diameter D. Asume 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 alides inside a 100.5mm diameter pipe. The cylinder is 200mm long and weighs 15N. The lubricant is SAE 20W oll with a viscosity of 2.0 x 10-Pa s.

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This problem involves a cylinder falling inside a pipe that is
Elled with oll, as depleted in the figure. The small space between the cylinder and
the pipe is lubricated with an oll 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 t sliding inside a vertical smooth pipe that has inside diameter D,
Ansume 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 alides inside a 100.5mm diameter pipe. The cylinder is 200mm long and
welghs 15N. The lubricant is SAE 20W oll with a viscosity of 2.0 x 10-2Pa s.
Pipe
Oil film
Cylinder
Transcribed Image Text:This problem involves a cylinder falling inside a pipe that is Elled with oll, as depleted in the figure. The small space between the cylinder and the pipe is lubricated with an oll 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 t sliding inside a vertical smooth pipe that has inside diameter D, Ansume 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 alides inside a 100.5mm diameter pipe. The cylinder is 200mm long and welghs 15N. The lubricant is SAE 20W oll with a viscosity of 2.0 x 10-2Pa s. Pipe Oil film Cylinder
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