Essentially, the wave velocity is the distance traveled with the aid of the waves in a given time frame.
To locate wave speed as it should be, you need to configure the subsequent equation:
Wave speed (v) = 𝑓λ
Where;
Suppose the wave frequency is 2000 Hz, and the wavelength is 0.25 m. How can we calculate the wave speed (v), wave period (T), and wavenumber (1/λ)?
Given:
Step 1: Calculate the Wave Speed (v)
The formula for wave speed is:
\( v = f \times \lambda \)
Substitute the values:
\( v = 2000 \times 0.25 \)
\( v = 500\ m/s \)
Step 2: Calculate the Wave Period (T)
The formula for the wave period is:
\( T = \dfrac{1}{f} \)
Substitute the value of \( f \):
\( T = \dfrac{1}{2000} \)
\( T = 0.0005\ s \)
Step 3: Calculate the Wavenumber (σ)
The formula for the wavenumber is:
\( \sigma = \dfrac{1}{\lambda} \)
Substitute the value of \( \lambda \):
\( \sigma = \dfrac{1}{0.25} \)
\( \sigma = 4\ m^{-1} \)
Using these formulas, we calculated the wave speed as 500 m/s, the wave period as 0.0005 s, and the wavenumber as 4 m-1. To save time, use a wave speed calculator for quick and precise results!
Our wave velocity calculator determines the wave speed to be 174 m/s.
The wavelength would be 2.5m which can additionally be calculated thru every other wavelength calculator. . Wavelength formula (λ) = 𝑓v can be obtained from the wave speed formula.
