Technical Calculator

Wave Speed Calculator

Enter the wave frequency and the wavelength in the tool and the calculator will calculate the wave speed.

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How to locate velocity of a Wave?

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; 

Example:

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)?

Solution:

Given:

  • Wave frequency (f) = 2000 Hz
  • Wavelength (λ) = 0.25 m

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!

FAQs:

what's the rate of a Wave with a Frequency of 2 Hz and a Wavelength of 87 m?

Our wave velocity calculator determines the wave speed to be 174 m/s.

what's the Wavelength of a Wave that has a speed of 350 meters/2nd and a Frequency of a hundred and forty Hertz?

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.