Given: At 440 m/s, lambda of 22.2 mm, f=............Hz
To find the frequency (f) in hertz (Hz), we need to use the wave equation:
v = λ * f
Where:
v is the velocity of the wave (in meters per second),
λ (lambda) is the wavelength (in meters), and
f is the frequency (in hertz).
In this case, we have the following information:
v = 440 m/s
λ = 22.2 mm
First, we need to convert the wavelength from millimeters to meters since velocity is given in meters per second. There are 1000 millimeters in a meter, so:
λ = 22.2 mm * (1 m / 1000 mm) = 0.0222 m
Now, we can rearrange the wave equation to solve for frequency:
f = v / λ
Substituting the given values:
f = 440 m/s / 0.0222 m
Calculating:
f ≈ 19819.82 Hz
Therefore, the frequency (f) is approximately 19819.82 Hz.