Speed of sound related to absolute temperature

In summary, the conversation discusses the calculation of the multiplier, k, and how it may not be necessary. The suggestion is to scale velocity using the equation ##\sqrt {T_1} / \sqrt {T_0} ## without needing to know the value of k. The person also expresses gratitude for the advice and plans to use it in the future.
  • #1
Bolter
262
31
Homework Statement
See image attached below
Relevant Equations
v = k * sqrt(T)
Here is the Q

Screenshot 2020-03-23 at 12.50.08.png

Very unsure about how to approach this question but this is what I have tried

IMG_4316.JPG


Any help would be really appreciated! Thanks
 
Physics news on Phys.org
  • #2
Your calculation of the multiplier, k, is not really necessary. The velocity of sound will change in proportion to ##\sqrt T ##, so you can scale velocity by ##\sqrt {T_1} / \sqrt {T_0} ## without even knowing what k is.
 
  • Like
Likes Bolter and berkeman
  • #3
FactChecker said:
Your calculation of the multiplier, k, is not really necessary. The velocity of sound will change in proportion to ##\sqrt T ##, so you can scale velocity by ##\sqrt {T_1} / \sqrt {T_0} ## without even knowing what k is.

Thank you, I have tried this and get the same value again. I'll keep a note of using next time I get a similar problem :)
 
  • Like
Likes berkeman and FactChecker

Related to Speed of sound related to absolute temperature

What is the relationship between speed of sound and absolute temperature?

The speed of sound is directly proportional to the square root of the absolute temperature. This means that as the absolute temperature increases, the speed of sound also increases.

Why does the speed of sound change with temperature?

This is because sound is a form of energy and its speed is affected by the temperature of the medium it is traveling through. As the temperature increases, the molecules in the medium move faster, allowing sound waves to travel through them more quickly.

How does the speed of sound differ in different mediums?

The speed of sound varies depending on the medium it is traveling through. For example, sound travels faster in solids compared to liquids, and even faster in gases. This is because the molecules in solids are closer together and can transmit sound waves more efficiently.

Is there a limit to the speed of sound?

Yes, there is a limit to the speed of sound. In ideal conditions, sound can travel at a maximum speed of approximately 343 meters per second, which is at a temperature of 20 degrees Celsius. This is known as the speed of sound at standard temperature and pressure.

How does the speed of sound affect the pitch of a sound?

The speed of sound also affects the pitch of a sound. As the speed of sound increases, the wavelength of the sound waves decreases, resulting in a higher frequency and a higher pitch. This is why sound travels faster in higher temperatures, leading to a higher pitch.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
873
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
852
  • Introductory Physics Homework Help
Replies
12
Views
888
  • Introductory Physics Homework Help
Replies
4
Views
895
  • Introductory Physics Homework Help
Replies
3
Views
171
  • Introductory Physics Homework Help
Replies
3
Views
258
Replies
1
Views
344
  • Introductory Physics Homework Help
Replies
8
Views
786
Back
Top