(Image: A Dutch Longcase clock, courtesy of The Museum of the Dutch Clock.)
Huygens determined that if you allowed a pendulum to swing just a little bit, the period of its swing could be used to keep time to incredible accuracy. By the mid-17th Century, Huygens had not only determined the relationship between the period of a pendulum (T) and its length (l),
but clockmakers in both the Netherlands and England were regularly constructing clocks that were accurate to within a few seconds each day! (A phenomenal achievement for a pendulum clock by any standards.)
Well, the New World (North and South America) was beginning to be colonized in earnest, and it would be more than 100 years before an American would build their first clock. So what would someone do if they wanted to keep time more accurately than a sundial could?
(Image credit: Wet Canvas.)
You take one of these great, Dutch-built clocks, and you put it on a ship bound for the Americas, of course! So they did, and the clock arrived. And, of course, life was grand.
At least, it was, for about a week. It was only about a week before people noticed that the Sun and Moon weren't rising and setting at the times they were supposed to! Apparently, the clock was running at the wrong speed, and was running slow by somewhere around a minute per day. This brilliant clock, which was accurate to within two seconds a day in Holland, must have broken somehow during the journey.
So what were the colonists to do? There was no clockmaker (or clock repairman) in the new world, and this clock was handmade and very valuable. They had no choice; the clock needed to be shipped back to Europe for repair.
So they ship the clock back to Europe, and they go to take the clock into the clockmaker, and it does the exact thing that your car does when you take it to the mechanic because it's making a noise. It starts behaving like it's perfectly fine. The clockmaker winds up the clock, and it immediately starts working properly, and keeps time to within two seconds per day!
Why? Take another look at Huygens' equation for the period of a pendulum clock.
See that "g" in the equation? That's the acceleration due to gravity at the surface of the Earth. Those of you who've taken a physics course at some point probably learned that g is 9.81 meters per second squared.
Guess what? The value of g changes depending on your latitude and elevation! At the North Pole, g is about 9.83, while at the equator, g is smaller, at only 9.79. Most of the colonized land in the new world was well South of (and far closer to the equator than) the Netherlands, and so g changed for the clock, decreasing by about 0.01 meters per second squared. This tiny difference, added up over the course of a day, causes you to lose about 45 seconds each day. But if you bring the clock back to its original location, g goes back to its original value, and the clock went back to its near-perfect calibration point!
And this is still true today, because the physics is exactly the same! If you change your latitude, your pendulum clock will need to be adjusted because of changes in gravity!
So go ahead and take your standardized time for granted, but remember that it wasn't always as easy as it is today!
No comments:
Post a Comment