A wave has angular frequency 34.3 rad/s and wavelength 2.37 m. What is its wave number?
Wave number is usually defined as
k = 2 pi/(wavelength)
In this case it would be 2.65 m^-1
The angular frequency has nothing to do with it. The wave in question in this case is not electromagnetic because the speed is much too slow, 12.9 m/s.
To find the wave number, we can use the formula:
Wave number (k) = 2π / wavelength
Given that the angular frequency (ω) is 34.3 rad/s and the wavelength (λ) is 2.37 m, we can substitute these values into the formula to find the wave number:
k = 2π / 2.37
First, let's calculate 2π, which is approximately 6.28:
k = 6.28 / 2.37
Now, divide 6.28 by 2.37:
k ≈ 2.65
Therefore, the wave number of the given wave is approximately 2.65 rad/m.