A sound wave produced by a clock chime is heard 571-m away 1.1-sec later. If the clock's sound is 434-Hz, what is the sound wave's wavelength?
V = 571m/1.1s = 519 m/s.
L = V/F = 519/434 = 1.2 m.
To calculate the wavelength of the sound wave, we can use the formula:
wavelength = speed / frequency
where the speed of sound is approximately 343 meters per second.
First, we need to find the time taken by the sound wave to travel the distance of 571 meters. We are given that the sound is heard 1.1 seconds later, so the time taken by the sound wave is 1.1 seconds.
Now, we can use the formula
speed = distance / time
to find the speed of the sound wave:
speed = 571 meters / 1.1 seconds
speed ≈ 519.1 meters per second
Next, we can substitute the values in the wavelength formula:
wavelength = speed / frequency
wavelength = 519.1 meters per second / 434 Hz
wavelength ≈ 1.197 meters
Therefore, the sound wave's wavelength is approximately 1.197 meters.