SkipD wrote in post #8238283
NO.
What is true is that the field (angle) of view of a 70mm lens
used on an APS-C DSLR is the same as field (angle) of view of a 112mm lens
used on a 35mm film camera (or a so-called "full-frame" DSLR).
The term "35mm equivalent focal length" is often used to describe the field (angle) of view of a given focal length on a particular camera - even a point-n-shoot camera - relative to a particular focal length used on a 35mm film camera. Manufacturers of small consumer cameras use the 35mm film format as a reference (thus the "35mm equivalent focal length" which they publish) because its an easy way for many folks to compare lenses on point-n-shoot cameras which have different size film frames or digital sensors
The fact is that the 35mm film format (24mm by 36mm) is not, never has been, and never will be the standard camera format against which all others are measured. Even though the manufacturers of small cameras often use the "35mm equivalent focal length" in their advertising, that does not make the 35mm film format enough of a standard to say that a focal length used on some other format is "effectively" anything other than the focal length it actually is.
The part of your quote that I put in bold type is not correct. If you were dealing with film, it might be correct. However, you are very unlikely to see any image quality (such as the noise/grain you mention) differences - at reasonable print sizes - between images made with today's APS-C format DSLRs and those made with a so-called "full-frame" format DSLR.
Skip, I completely agree, but you should have said "NO!!!" instead of merely "NO."
"Crop factor" is a purely marketing term, used to sell cameras and/or lenses. A 50mm lens remains a 50mm lens whether it is used on a 5D (full-frame) or a 40D (APS-C) camera. It NEVER becomes an 80mm lens. Nor does it ever act like one.
However, when mounted on an APS-C camera, a 50mm lens does act like a 50mm lens on an APS-C camera, which is slightly different than a 50mm lens on a full-frame camera. This difference is angular in nature, and affects things angular: angle of view, camera shake, etc.
I can think of no other term that has caused more confusion or, indeed, out and out grief than "crop factor."
How about this: we look up the very first lenticular camera and use its film or plate size, whatever it may have been, as a standard. (After all, it was first.) Then all cameras since can be assigned a relative "crop factor."
That would make more sense than, or at least as much sense as, using the 35mm-film image size as a standard. Hell, the 36×24mm 35mm-film image size isn't even a standard with 35mm film!