How Does Temperature Affect the Speed of Sound?

AI Thread Summary
The discussion revolves around the relationship between temperature and the speed of sound, particularly in different mediums. Increasing air temperature raises the velocity of sound waves and also affects their wavelength. The speed of sound in solids, such as a rod, is related to its physical dimensions, and the wavelength can be twice the length of the rod under specific conditions. Participants are seeking guidance on deriving the speed of sound equation based on temperature and calculating sound speed in various materials, including bone and tissue. The conversation emphasizes understanding the principles rather than just obtaining answers directly.
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1. in determination of speed of sound in solid, why is the wavelength of sound in the rod eqaul to twice the length of the rod? is this always true?

2. suppose the we increase the temperature of the air through which a sound wave is traveling. a) what effect does this have on the velocity of the wave? b) what effect does increasing the temperature have on the wavelength of the sound wave?

3. if you were lying on the ground, would you hear footsteps sooner or later with your ear touching the ground or not?

4. the velocity of sound in cm/s as a function of temperature (t) in Celsius degree is given by the equation: v=33145+60t. derive this equation.

5.find the speed of sounf in a bone for which the Young's modulus is 16x10^9 N/m^2 and its specific gravity is 2.

6. find the velocity of the ultrasound in tissue. (frequency range = 1-5 megahertz; wavelength = 0.3 - 0.06 mm)

*to anyone that can help, thank you very much! i appreciate it! no need to give me the answer directly. just xplain what i should do. thanks again!
 
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What have YOU done on this? Some of these look like you can just look up the answer in a textbook or just plug the numbers into a formula.
 
well, i already figured out numbers 2,3, and 5...i'm having a hard time figuring out #4...#1, i don't really know since we never did the experiment on determining the speed of sound in solids...in #6, am i right if i changed the units from megahertz to hertz and mm to cm?
 
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