Physics of pendulum question?
If you made a clock in a country at the equator. Say-Mexico. You make it work on a pendulum system that is affected by the acceleration of Earth's gravity. You then take that clock and ship it to a country far above the equator. Say- Canada. Would you have to shorten the string for the pendulum or make it longer so that it works accurately in Canada?
- TechnobuffLv 78 years agoFavorite Answer
g value is higher towards the poles.
Pendulum period = 2pi(sqrt.L/g) is the equation, so if g is higher, L will need to be greater to compensate.
You lengthen it, but the difference is only minute. Not worth the trouble.
The height above sea level at both the point of manufacture and the point of installation would need to be taken into account too, if accuracy is all that important.