(a) What is the wavelength of a 450 Hz tone in air?
To find the wavelength of a sound wave in air, you can use the formula:
wavelength = speed of sound / frequency
The speed of sound in air is approximately 343 meters per second at room temperature and normal atmospheric pressure.
Given that the frequency of the tone is 450 Hz, we can substitute these values into the formula:
wavelength = 343 m/s / 450 Hz
Calculating this equation gives us the answer: the wavelength of a 450 Hz tone in air is approximately 0.762 meters or 76.2 centimeters.