On a separate sheet of paper, solve the following problems. 1. If you shout across a canyon, and you hear the echo 3.00 seconds later, oT S how wide is the canyon? The speed of sound in the air is 343 m/s. emist

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter17: Traveling Waves
Section17.6: Energy Transport In Waves
Problem 17.6CE
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Reflective Sounds
If you shout down a long hallway, and hear the echo 0.25 second later, how
long is the hallway? The speed of sound in air at 20°C is about 343 m/s.
1. Read and Understand
What information are you given?
time for sound to travel down the hallway and back = 0.25 s
time for sound to travel the length of the hallway = 0.25 s/2 = 0.125 s
v = 343 m/s
2. Plan and Solve
What unknown are you trying to calculate?
length of hallway = ?
What mathematical expression can you use to calculate the unknown?
d=vxt
d = (343 m/s)(0.125 s) = 43 m
3. Look Back and Check
Is your answer reasonable?
Yes, the length is reasonable and the units indicate distance.
Math Practice
On a separate sheet of paper, solve the following problems.
1. If you shout across a canyon, and you hear the echo 3.00 seconds later,
how wide is the canyon? The speed of sound in the air is 343 m/s.
bus est
Transcribed Image Text:Reflective Sounds If you shout down a long hallway, and hear the echo 0.25 second later, how long is the hallway? The speed of sound in air at 20°C is about 343 m/s. 1. Read and Understand What information are you given? time for sound to travel down the hallway and back = 0.25 s time for sound to travel the length of the hallway = 0.25 s/2 = 0.125 s v = 343 m/s 2. Plan and Solve What unknown are you trying to calculate? length of hallway = ? What mathematical expression can you use to calculate the unknown? d=vxt d = (343 m/s)(0.125 s) = 43 m 3. Look Back and Check Is your answer reasonable? Yes, the length is reasonable and the units indicate distance. Math Practice On a separate sheet of paper, solve the following problems. 1. If you shout across a canyon, and you hear the echo 3.00 seconds later, how wide is the canyon? The speed of sound in the air is 343 m/s. bus est
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