The Relationship Between Length and Frequency in a Simple Pendulum

[marine192]

A meter stick swinging from one end oscillates with a frequency f0. What would be the frequency, in terms of f0 , if the bottom half of the stick were cut off?







Based on a experiment we did in class with tuning forks the frequency should be twice as much if the length were reduced by half but when I enter that in for the answer it comes up as incorrect. Today in class we went over that a frequency remains the same when transferring between mediums but there is no transfer here, just a shortening of length so that shouldn't have any effect on it. I can't figure out where I am going wrong with this.

 

[tiny-tim]

welcome to pf!

hi marine192! welcome to pf!

a pendulum isn't remotely like a tuning fork

(btw, http://en.wikipedia.org/wiki/Tuning_fork#Calculation_of_frequency" says frequency of a tuning fork is inversely proportional to length squared, but there's no reference for it )

do you know any equations that may help to describe the motion of a pendulum?