Final answer:
A wave travels with speed 210 m/s, its wave number is 1.70 rad/m, a) the wavelength move is 3.71 m and b) the frequency is 56.6 Hz
Step-by-step explanation:
To find the wavelength (λ) of the wave, we can use the formula:
λ = v/f
Where
λ is the wavelength
v is the wave speed
f is the frequency.
In this case, the wave speed is given as 210 m/s and the wave number is given as 1.70 rad/m.
The wave number is related to the wavelength by the equation:
k = 2π/λ
where
k is the wave number
λ is the wavelength.
Therefore,
k = 1.70 rad/m = 2π/λ
Solving for λ, we find:
λ = 2π/1.70 rad/m = 3.71 m
The frequency can then be calculated using the equation:
f = v/λ
Substituting the values, we get:
f = 210 m/s / 3.71 m = 56.6 Hz
So therefore a) the wavelength of the wave is 3.71 m and b) frequency is 56.6 Hz