The stress on the material of a large circular metal pipe varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the material of the pipe. For a particular type of pipe, the stress is 103 pounds per square inch when the diameter is 5 inches, the thickness is 0.5 inches, and the internal pressure is 31 pounds per square inch. Find the necessary thickness for a pipe if its diameter is 6 inches, the internal pressure is 36 pounds per square inch, and the pipe needs to be able to handle overall stress of 126 pounds per square inch. The material of the pipe needs to be [text box] inches thick. {Give at least 3 decimal places.} [Submit Question Button]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The stress on the material of a large circular metal pipe varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the material of the pipe. For a particular type of pipe, the stress is 103 pounds per square inch when the diameter is 5 inches, the thickness is 0.5 inches, and the internal pressure is 31 pounds per square inch. 

Find the necessary thickness for a pipe if its diameter is 6 inches, the internal pressure is 36 pounds per square inch, and the pipe needs to be able to handle overall stress of 126 pounds per square inch.

The material of the pipe needs to be [text box] inches thick. 

{Give at least 3 decimal places.}

[Submit Question Button]
Transcribed Image Text:The stress on the material of a large circular metal pipe varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the material of the pipe. For a particular type of pipe, the stress is 103 pounds per square inch when the diameter is 5 inches, the thickness is 0.5 inches, and the internal pressure is 31 pounds per square inch. Find the necessary thickness for a pipe if its diameter is 6 inches, the internal pressure is 36 pounds per square inch, and the pipe needs to be able to handle overall stress of 126 pounds per square inch. The material of the pipe needs to be [text box] inches thick. {Give at least 3 decimal places.} [Submit Question Button]
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