Wave and Sounds Physics Recently a company built a factory near your home. One windy day while walking past the factory you notice a very low pitch sound resonating from the smokestack attached to the factory. You conclude that the sound is the result of air column resonance resembling an air column open at one end (the top of the chimney) and closed at the other end (the bottom of the chimney where the furnace is located). Checking with the weather app on your phone you determine the air temperature to be 15 °C. You also recall reading in your local newspaper that the height of the smokestack is 12 m. Doing some quick mental calculations you determine the resonant sound to be the result of the 3rd overtone standing wave pattern within the air column. When completing the following word problems make sure that you include an equation, substitution with units and final answer with appropriate units. Significant digits are NOT required. Questions: 1. Sketch the positions of the nodes and antinodes representing the 3rd overtone standing wave pattern in the smokestack air column. 2. Based on the standing wave pattern in the smokestack, what is the relationship between the length of the air column and the number of wavelengths? 3. What is the speed of sound in air based on the air temperature provided?
Wave and Sounds Physics
Recently a company built a factory near your home. One windy day while walking past the factory you notice a very low pitch sound resonating from the smokestack attached to the factory. You conclude that the sound is the result of air column resonance resembling an air column open at one end (the top of the chimney) and closed at the other end (the bottom of the chimney where the furnace is located). Checking with the weather app on your phone you determine the air temperature to be 15 °C. You also recall reading in your local newspaper that the height of the smokestack is 12 m. Doing some quick mental calculations you determine the resonant sound to be the result of the 3rd overtone standing wave pattern within the air column.
When completing the following word problems make sure that you include an equation, substitution with units and final answer with appropriate units. Significant digits are NOT required.
Questions:
1. Sketch the positions of the nodes and antinodes representing the 3rd overtone standing wave pattern in the smokestack air column.
2. Based on the standing wave pattern in the smokestack, what is the relationship between the length of the air column and the number of wavelengths?
3. What is the speed of sound in air based on the air temperature provided?
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