Solve the following problems completely. A solid cylindrical cord of elastic material has length 32 inches and radius 0.5 inch. The cord is being stretched lengthwise at a constant rate of 18 inches per minute. Assuming that the cord maintains a cylindrical shape and constant volume while being stretched, at what rate is the radius of the cord decreasing one minute after the stretching begins?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 43A
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Solve the following problems completely.
A solid cylindrical cord of elastic material has length 32 inches and radius 0.5 inch.
The cord is being stretched lengthwise at a constant rate of 18 inches per minute.
Assuming that the cord maintains a cylindrical shape and constant volume while being
stretched, at what rate is the radius of the cord decreasing one minute after the
stretching begins?
Transcribed Image Text:Solve the following problems completely. A solid cylindrical cord of elastic material has length 32 inches and radius 0.5 inch. The cord is being stretched lengthwise at a constant rate of 18 inches per minute. Assuming that the cord maintains a cylindrical shape and constant volume while being stretched, at what rate is the radius of the cord decreasing one minute after the stretching begins?
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