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Computer Numerically Controlled (CNC) Tool Programmer

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Real-Life Math

You are working on a CNC machine. Your current projects include creating aluminum screws for medical use. Orthopedic surgeons use these rustproof screws to fasten bones. Another project involves creating a metal item that is used by warplanes to squirt fuel into the big carburetors.

Much of the work you do involves very small measurements. You are often working with measurements of 0.0005 of an inch. Paper is 0.0004 of an inch thick, so that gives you an idea of how precise this work can be. Many of the tools of the trade are precision calibrated on a monthly basis.

"You need to have accurate math skills more than anything else," says Ken Ellis. He's chair of the Center for Advanced Technologies at a college, which includes a CNC program.

"To do most programming, and especially with all the software they have now, usually as long as you understand algebra, geometry and trigonometry... you don't need calculus, you don't need higher-end math," says Ellis. "But you have to be able to work accurately because every decimal point that you're out on the calculation then gets put into the program, which means (the error) gets inherent in all the parts."

You are given a blueprint from the engineers. The engineers have marked the measurements in inches. You must convert these measurements into decimal points when you set up your CNC machine.

Convert the following:

1 inch
1/2 of an inch
1/4 of an inch
1/8 of an inch
1/32 of an inch
1/64 of an inch
6 inches
13 1/2 inches

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    From outside the U.S., please call +1 (424) 750-3900
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    ndcrn@nd.gov | (701) 328-9733

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