To determine the wavelength of the waves produced by an ultrasonic distance-measuring device with a frequency of 40 kHz, we can use the equation:
wavelength = speed of sound / frequency
In air, the speed of sound is approximately 343 meters per second at room temperature and normal atmospheric conditions.
Plugging in the values:
wavelength = 343 m/s / 40,000 Hz
Calculating the wavelength:
wavelength = 0.008575 meters or 8.575 millimeters
Therefore, the wavelength of the waves produced by the ultrasonic distance-measuring device with a frequency of 40 kHz in air is approximately 8.575 millimeters.