If a tuning fork puts out a tone at 440 Hz, what is its wavelength in air at 25 degrees?
To calculate the wavelength of a sound wave in air, you can use the formula:
Wavelength = Speed of Sound / Frequency
First, let's determine the speed of sound in air at 25 degrees Celsius. The speed of sound in air can be approximated using the following formula:
Speed of Sound = 331.4 m/s + (0.6 m/s/°C) × Temperature
Plugging in the temperature of 25 degrees Celsius, we have:
Speed of Sound = 331.4 m/s + (0.6 m/s/°C) × 25 °C
= 331.4 m/s + (0.6 m/s/°C) × 25 °C
= 331.4 m/s + 15 m/s
= 346.4 m/s
Now, we can calculate the wavelength using the frequency of the tuning fork, which is 440 Hz:
Wavelength = Speed of Sound / Frequency
= 346.4 m/s / 440 Hz
≈ 0.79 meters
Therefore, the wavelength of the sound wave produced by the tuning fork at 440 Hz in air at 25 degrees Celsius would be approximately 0.79 meters.