The Relationship Between Length and Frequency in a Simple Pendulum

In summary, in a recent class experiment, it was observed that the frequency of a meter stick swinging from one end, denoted as f0, would be twice as much if the bottom half of the stick were cut off. However, this answer was found to be incorrect. It was also discussed in class that frequency remains the same when transferring between mediums, but this situation does not involve any transfer, just a shortening of length. The individual is seeking assistance in understanding where they may have gone wrong with their calculation.
  • #1
marine192
1
0
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.
 
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  • #2
welcome to pf!

hi marine192! welcome to pf! :smile:

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 :frown:)

do you know any equations that may help to describe the motion of a pendulum?
 
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1. What is frequency f0 homework?

Frequency f0 homework refers to a type of assignment or task related to the concept of frequency f0, which is the fundamental frequency of a sound wave. It is commonly used in the field of acoustics and audio engineering to measure and analyze the pitch of a sound.

2. Why is frequency f0 important?

Frequency f0 is important because it is directly related to the perceived pitch of a sound. It is the lowest frequency component of a sound wave and helps to define the overall tonal quality of a sound. Understanding frequency f0 is crucial in areas such as music, speech, and sound production.

3. How is frequency f0 measured?

Frequency f0 is typically measured in Hertz (Hz), which represents the number of cycles or vibrations per second. It can be measured using specialized equipment such as an oscilloscope or frequency analyzer, or through software programs that analyze audio files.

4. What factors can affect frequency f0?

The frequency f0 of a sound can be affected by several factors, including the size, shape, and material of the object or instrument producing the sound. Other factors such as temperature, humidity, and air pressure can also impact frequency f0.

5. How can frequency f0 be manipulated?

Frequency f0 can be manipulated through various techniques such as changing the tension or length of a string on an instrument, altering the shape or size of a sound-producing object, or using electronic effects and filters. Understanding how to manipulate frequency f0 is essential in music and sound design.

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