The effect of temperature on frequency

In summary, the experts discuss the effect of temperature on the frequency of a string. It is hypothesized that as temperature increases, the length of the string will decrease, resulting in a decrease in tension and a decrease in frequency. The graphs provided show that as the length of the string increases, the frequency decreases. The speed of sound in air is not relevant to this discussion, as the frequency is determined by the vibration of the string, not the air. The wavelength of the sound in air is also not the same as the length of the string. It is noted that in the string, the wave speed changes while the wavelength remains constant, while in air, the wave speed stays constant but the wavelength changes.
  • #1
Nastyusha
6
0

Homework Statement


Predict the effect temperature will have on the frequency of the string (considering your results and your knowledge of science). Explain and back up your hypothesis


Homework Equations


http://img166.imageshack.us/img166/2544/lvsfie2.jpg


The Attempt at a Solution


Nothing so far. I'm clueless.
 
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  • #2
What happens to a solid as you heat it? Think of the graphs that you have provided because they will come in handy when you know what happens to heated solids.
 
  • #3
The molecules move faster. So, if you increase the temperature, the frequency will increase? Where do the graphs tie into this?
 
  • #4
Nastyusha said:
The molecules move faster. So, if you increase the temperature, the frequency will increase? Where do the graphs tie into this?

No. Think of it in a bit more detail. Say you have a string of length L fixed at both ends. You pluck the string, and you get a fundamental tone of some frequency. Now for clarity, remove the string from the end clamps and heat it up. What happens to the length of string as it is heated? Now that it is heated, keep it at that temperature and put it back into the clamps that are spaced L apart. What can you say about the string tension now?
 
  • #5
Ok, so, if you heat up the string, it becomes bigger (longer) - tension decreases. According to the graphs, when the length is increased, the frequency decreases. Same with tension. Is that right? If yes, where should I start to figure out the actual relationship?
 
  • #6
The question just asks you to predict so you need not know the exact relationship. State what happens to the string when its heated and what happens to the frequency due to that or those particular parameters being changed.
 
  • #7
Thanks everyone!
 
  • #8
Does the wave length of the sound change is the temperature is increased?

If not, when the temperature increases, doesn't the speed of sound increase? Which using the universal wave equation v = f x lamba, the frequency would increase in order to have the speed increase? Not sure, if there is anything else I am not taking into account.
 
  • #9
Yes, the speed of sound in air increases with temperature, but that's not relevant here. The frequency is fixed by the vibration of the string, not the air.

The wavelength of the sound in the air is not the same as the length of the string! Think what happens to a guitar string when you change the frequency by changing the tension (by turning the the tuning peg) and the length is constant.

In the string, the wave speed is changes and the wavelength is constant. In the air, the wave speed is constant and the wavelength changes.
 
  • #10
Thanks... I understand it now.
 

What is the relationship between temperature and frequency?

The relationship between temperature and frequency is an inverse one. As temperature increases, the frequency decreases, and vice versa. This relationship is known as the temperature-frequency effect.

How does temperature affect the frequency of sound?

Temperature affects the speed of sound, which in turn affects the frequency of sound. As temperature increases, the speed of sound also increases, resulting in a higher frequency. This is why sound travels faster and appears higher pitched on hot days.

Why is it important to study the effect of temperature on frequency?

Studying the effect of temperature on frequency is important in various fields such as acoustics, meteorology, and physics. It helps us understand how sound and other waves behave in different temperatures and how they can be manipulated for various applications.

What is the significance of the temperature-frequency effect in nature?

The temperature-frequency effect can be observed in various natural phenomena, such as the Doppler effect in sound waves. It also plays a role in the migration patterns of animals, as they use temperature changes to navigate and communicate with each other.

How is the temperature-frequency effect utilized in technology?

The temperature-frequency effect is utilized in technology in various ways, such as in the design and calibration of musical instruments, sonar systems, and temperature sensors. It is also a crucial factor in the development of wireless communication systems and satellite technology.

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