The illustrated shaft has an overall length of 42 inches. If the diameter of "F" = 3.75" 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.
• Taper per foot (L = 1.5") means the diameter changes by a certain amount over 12 inches of length • Relationship between taper per foot and change in radius versus diameter • Using the given large diameter F = 3.75" and the taper over the length X = 6" to back‑calculate the small diameter E
• First, decide whether the taper value of 1.5" is a change in radius or a change in diameter over 12 inches. How would that affect your computation? • Set up a proportion for the actual tapered length X = 6" compared to 12". How much does the diameter change over 6" at this taper rate? • Once you know the change in diameter over 6", combine it correctly with the known diameter F to find the smaller diameter E. Should you subtract once or twice that change from F?
• Be clear whether the 1.5" taper per foot refers to diameter, not radius • Confirm that you scale the taper from 12 inches of length down to 6 inches (X) before applying it • After you compute E, check that the resulting value is smaller than F = 3.75" and that it matches one of the choices provided
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