Whitworth worked for Henry Maudslay in his early careeer and learned much from the great man, including the use of fluted taps to cut standardised (but not universal) threads. He also learned the merits of interchangeability from the work of Maudslay and Brunel on the Portsmouth blockmaking machinery.
Chris Trice is correct when he says that the 55º gives a stronger thread and at the time cast iron was very widely used as quality steel was expensive (thread standard established 1841 only just after the success of the Bessemer converter). As we know CI is weak in tension so threads had to be as strong as possible, hence 55º was established as the best compromise over many years of experiment. This prevented shearing (stripping) of the internal CI threads. The Whitworth standards effectively became the British de facto standard when it was adopted for use on the railway system here. Metric threads were standardised much later.
In the USA, Sellers developed the thread standards which were eventually to become the Unified System. He used the Whitworth system as a basis but adopted the 60º angle. Various metric systems were established at that time but were unified at the 1894 Internation Congress in Zurich (not France) using the American 60º standard. Metric standards were finally established at the ISO conference in 1947.
Sorry for the long post and even that is an oversimplification, there is much more to it than that, but it gives an outline as to why we are where we are now.
Best regards
Terry
Edited By Terryd on 20/04/2012 06:25:50