If you have a shaft with a diameter of 3.125" that tapers down to 1.250" over a length of 7.525", what is the taper per foot?

To determine the taper per foot, you first need to calculate how much the diameter decreases over the specified taper length. The shaft tapers from a diameter of 3.125 inches to 1.250 inches. The change in diameter, or the total taper, can be calculated as follows:

1. Find the difference in diameter:

3.125 inches - 1.250 inches = 1.875 inches.

2. The length over which this taper occurs is given as 7.525 inches. To convert this length to feet, divide by 12 (since there are 12 inches in a foot):

7.525 inches ÷ 12 inches/foot = 0.627083 feet.

3. Now, to find the taper per foot, divide the total taper (the change in diameter) by the length in feet:

1.875 inches ÷ 0.627083 feet ≈ 2.99 inches per foot.

Rounding to two decimal places gives you 3.00 inches per foot. Thus, the correct answer reflects the fact that the shaft tapers at a rate of 3.00 inches for every foot of length when considering the overall reduction in diameter experienced over