Compute the wavelength in air of ultrasound with a frequency of 50 kHz if the speed of sound is 344 m/s.
v = f*lambda
where v is the speed of sound, f is the frequency, and lambda is the wavelength
Thanks, but I don't understand. Am I going to muliply 50*344?
To compute the wavelength of ultrasound, we can use the equation:
Wavelength = Speed of Sound / Frequency
Let's substitute the given values into the equation:
Wavelength = 344 m/s / 50 kHz
However, we need to convert the frequency from kHz to Hz since the speed of sound is given in meters per second. 1 kHz is equal to 1000 Hz.
Wavelength = 344 m/s / (50,000 Hz / 1 kHz)
Wavelength = 344 m/s / 50,000 Hz * 1 kHz
Wavelength = 344 m/s / 50,000,000 Hz
Now, let's compute the wavelength:
Wavelength = 0.00688 meters or 6.88 mm
Therefore, the wavelength of ultrasound with a frequency of 50 kHz in air is approximately 6.88 mm.
To compute the wavelength, we can use the formula:
Wavelength = Speed of Sound / Frequency
First, we need to convert the frequency from kHz to Hz:
50 kHz = 50,000 Hz
Now, we can substitute the values into the formula:
Wavelength = 344 m/s / 50,000 Hz
Calculating this, we find:
Wavelength = 0.00688 meters (or 6.88 mm)
Therefore, the wavelength in air of the ultrasound with a frequency of 50 kHz is 6.88 mm.