If a shaft has a diameter of two inches and the milling cutter has a diameter of 0.250 inches, how far must the table be moved to center the cutter over the shaft?

To determine how far the table needs to be moved to center the milling cutter over the shaft, it's essential to first establish the radius of both the shaft and the milling cutter.

The shaft has a diameter of two inches, which means its radius is one inch since the radius is half of the diameter. The milling cutter has a diameter of 0.250 inches, leading to a radius of 0.125 inches.

To center the cutter over the shaft, the position of the cutter's center must align with the center of the shaft. Therefore, you calculate the distance that needs to be moved from the center of the shaft to the center of the cutter. This is done by taking the radius of the shaft and subtracting the radius of the cutter:

1 inch (radius of shaft) - 0.125 inches (radius of cutter) = 0.875 inches.

However, when positioning the cutter, we are concerned with how far the table must be adjusted to ensure that the cutter, when positioned correctly, also aligns with the center of the shaft. This requires moving the table half of the cutter's diameter in addition to the distance calculated thus far.

Adding the distance of 0.125 inches (the radius of the cutter) to