18. Suppose you are building a new house. While installing the hot water pipe to the shower, you can't find your tape measure. To measure the pipe, you close the bottom with your finger and blow across the top. You hear a loud resonance with frequency f = 282.1 hz (cycles/second). Since sound is a longitudinal wave, there must be a node at the closed bottom and an antinode at the top. Calculate the length of the pipe. The velocity of sound in the air is 340.0 m/s.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
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18. Suppose you are building a new house. While installing the hot water pipe to the shower, you can't find your tape measure. To measure the pipe, you close the bottom with your finger and blow across the top. You hear a loud resonance with frequency f = 282.1 hz (cycles/second). Since sound is a longitudinal wave, there must be a node at the closed bottom and an antinode at the top. Calculate the length of the pipe. The velocity of sound in the air is 340.0 m/s.
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