Wikipedia to the rescue, as my dynamics text is missing from my bookshelfOriginally Posted by ManDownUnder
http://en.wikipedia.org/wiki/Pendulum
In summary, period (time for one complete cycle or two swings - there and back) the period is approximated (at low angles) by "2 times pi times the square root of (length divided by acceleration due to gravity {~9.8 metres per second squared} ) " So the period of 2 seconds, or 1 per swing is a artifact of the value of 2*3.1459...* square root(1/9.8).
or 2*slightly more that 3 * slightly less than a third = 2* approximately 1= approximately 2 seconds for a complete cycle, or approximately 1 second for a single swing.
It's pretty much a coincidence that half the period of a pendulum 1 m in length is the same time as 1/60th of 1/60th of 1/24th of the average time it takes for one revolution of the planet...that being the original definition of 1 second. You can blame that on the Babylonians (1/60ths) and the Egyptians (1/24ths).
cheers,
FM
Bookmarks