The illustrated shaft has an overall length...

Question 1 of 270705eccef9abacbc34ba4d45070

The illustrated shaft has an overall length of 42 inches. If the diameter of "F" = 6" and "X" = 6", with an indicated radius of "R" = .125" and a taper per foot of "L" = 1.5"; then the small diameter "E" is __________. See illustration GS-0133.

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Question 1 of 27070

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🔍 Key Concepts

• Taper per foot means a change in diameter over 12 inches of shaft length • Relationship between large diameter F, small diameter E, and the length of the tapered section X • Setting up a simple proportion: change in diameter over actual taper length vs. change in diameter over 12 inches

💭 Think About

• First, which part of the shaft is actually tapered, and what dimension on the drawing represents the axial length of that taper? • If the taper is 1.5 inches per foot, how much does the diameter change over the actual taper length shown (X)? • Given that the diameter at F is 6 inches, what must the smaller diameter E be so that the total change in diameter over length X matches the specified taper per foot?

✅ Before You Answer

• Be sure you are using diameter change, not radius change, when you apply the 1.5" per foot taper • Confirm that you are using the correct length (in inches) for the tapered portion when you set up your proportion • After you compute E, check that the result is smaller than 6 inches and matches one of the answer choices