The illustrated shaft has an overall length of 42 inches. If the diameter of "E" = 4.750" and "F" = 6", with an indicated radius of "R" = .125" and the taper per foot, "L" = 1.5"; then the tapered length "X" is __________. See illustration GS-0133.
• Taper per foot means how many inches of DIAMETER change occur in 12 inches of shaft length • On a straight taper, the change in diameter is proportional to the length of the taper • The small and large diameters at the ends of the taper are given as E and F
• First, find how much the diameter changes from E to F • Relate that diameter change over the unknown length X to the given taper of 1.5 inches per foot • Decide whether the small corner radii R at each end of the taper actually change the calculated straight-taper length
• Compute ΔD = F − E carefully using the given diameters • Set up a proportion: (diameter change over X) vs. (1.5 in change over 12 in of length) and solve for X • Before choosing, check if the tiny 0.125 in radius on each end would significantly alter the straight-taper length, given the multiple-choice options
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