MLA Citation: |
Bloomfield, Louis A. "Question 1417"How Everything Works 21 Feb 2018. 21 Feb 2018 <http://howeverythingworks.org/print1.php?QNum=1417>. |

1417. Is there any mathematical relevance to the period of motion of a pendulum? For example, if I made a scale model of a pendulum and then squared it or cubed it, would there be any mathematical correlation between the results?

Yes, there would be a simple relationship between the periods of the three pendulums. That's because the period of a pendulum depends only on its length and on the strength of gravity. Since a pendulum's period is proportional to the square root of its length, you would have to make your model four times as long to double the time it takes to complete a swing. A typical grandfather's clock has a 0.996-meter pendulum that takes 2 seconds to swing, while a common wall clock has a 0.248-meter pendulum that takes 1 second to swing. Note that the effective length of the pendulum is from its pivot to its center of mass or center of gravity. A precision pendulum has special temperature compensating components that make sure that this effective length doesn't change when the room's temperature changes.

Return to HowEverythingWork.org

Generated for printing on Wednesday, February 21, 2018 at 15:55:52 EST

Copyright 1997-2018 © Louis A. Bloomfield, All Rights Reserved

Privacy Policy