Explain why sound travels faster in warm air than in cool air. Suppose the room temperature...
Explain why sound travels faster in warm air than in cool air. Suppose the room temperature (in degrees celsius) was 10% higher, how would your results change?
Homework Answers
Part A) - Yes absolutely true. Sound travels faster in warm condition as compared to cold condition. Molecules at higher temperatures have more energy, thus they can vibrate fast , since the molecules vibrate faster, sound waves can travel more quickly.
The formula to find the speed of sound in air is as follows:
v = 331m/s + (0.6m/s/C )* T
In above formula , V= speed of sound in medium, T is temperature in degrees Celsius (°C).
Part b)- The speed of sound in room temperature (20 °C) air is 343 meters per second
Now temperature increase by 10% - So T= 22°C
Hence , New speed of sound= 331 + 0.6 *22 = 344.2 m/s
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