How Long is a Meter? a Second?Date: 09/06/2001 at 23:04:21 From: Dawn Britt Subject: Meter determened How is the length of a meter currently determined? Date: 09/07/2001 at 14:04:00 From: Doctor Rick Subject: Re: Meter determened Hi, Dawn. The standard of length has changed over the years as scientists' ability to make measurements has improved. Currently (since 1983) the meter has been officially defined to be the distance traveled by light in a vacuum in 1/299,792,458 second. See this article at the National Institute of Standards and Technology (NIST) Web site: Time Line for the Definition of the Meter (NIST) http://www.mel.nist.gov/div821/museum/timeline.htm The meter is defined this way because currently time can be measured more accurately than distance. Therefore distance is defined in terms of time, using the constant speed of light in a vacuum as the 'conversion factor'. In other words, the speed of light is no longer a number to be found by experiment; it is defined to be 299,792,458 meters per second, and this definition establishes a relation between the meter and the second. So then, how is the second defined? It is currently defined as the time taken by exactly 9,192,631,770 oscillations of the radiation from the hyperfine transition of a cesium atom. You can read about the devices that measure this time to an accuracy of about 3 parts in 10^14, an incredible measurement feat: Cesium Atomic Clocks (U.S. Naval Observatory) http://tycho.usno.navy.mil/cesium.html I have read that scientists measured the hyperfine transition to 3 parts in 10^15, but that article is apparently no longer available on the Web. - Doctor Rick, The Math Forum http://mathforum.org/dr.math/ |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2015 The Math Forum
http://mathforum.org/dr.math/