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Because in any real-world process, there is always uncertainty, and if you measure with enough precision you will always find variation in dimensions. Tolerances are specified so the machinist knows what is 'tolerable' and what is not acceptable. Assuming you are working in inches... A drawing dimension might be 1.50 +/- .03 . That would usually be a pretty easy tolerance to hit on a machined part. The machinist knows he doesn't need to be obsessive about this operation, and it will fit into where it is going as long as it is between 1.47 and 1.53 . He can measure it with a scale. Now, if it is 1.5000 +/.0001, it is much more difficult. The machinist needs to be very carefull here. He's going to need a good setup on good machinery, and something very precise to check the part with, in order to make a part that works. It is crucial that engineers and designers think about the tolerances they put on part drawings, because overly tight tolerances cost money, and overly loose tolerances might result in assemblies that don't work. Most of the time, the machinist does not know the context the part will be used in, so he/she shouldn't be left to make those decisions himself. When making parts on NC equipment right off CAD models, it is necessary to provide tolerance guidance to the machine shop to make sure the final part meets the need. Critical dimensions need to be identified at a minimum.

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Q: Why are tolerances specified on machined components?
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