The focal length of a lens is the distance between the centre of the lens and the position behind it where a sharp image of a distant object is formed. It doesn't change no matter what kind of camera body you put it on. Different sensor sizes will produce different angles of view. A 50mm lens on a 1.5 crop sensor will produce the same angle of view as a 75mm lens on an FF sensor, or a 150mm lens on a 0.5 "crop" sensor, e.g. in an MF camera body. The focal length never changes. As wardy07 points out, all that changes in a lens designed for a crop sensor camera is that it can be made smaller and cheaper because it doesn't need to produce the edges of the FF image circle that a crop sensor camera ignores.
Some very annoying people confuse focal length with angle of view. That causes lots of confusion. I wish they'd stop.