You are at a concert and you are located 91.2-m from the speakers. The frequency belting from the speakers are 291-Hz, if it takes 0.230-sec for the sound to reach your location what is the sounds wavelength?
To calculate the sound's wavelength, we can use the formula:
wavelength = speed of sound / frequency
First, we need to determine the speed of sound. The speed of sound depends on the medium it is traveling through and the temperature. At room temperature (approximately 20°C or 68°F), the speed of sound in dry air is about 343 meters per second.
Next, let's calculate the speed of sound:
speed of sound = 343 m/s
Now, we can insert the values into the formula:
wavelength = speed of sound / frequency
wavelength = 343 m/s / 291 Hz
wavelength ≈ 1.18 meters
Therefore, the sound's wavelength is approximately 1.18 meters.