Wavelength Formula:
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Deep Water Wavelength refers to the wavelength of ocean waves as they propagate through water depths that are considered deep relative to the wave height. It represents the distance between two consecutive wave crests or troughs.
The calculator uses the wavelength formula:
Where:
Explanation: The wave number represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance. This formula converts wave number to wavelength.
Details: Accurate wavelength calculation is crucial for coastal engineering, wave energy studies, navigation safety, and understanding wave behavior in deep water conditions.
Tips: Enter the wave number in radians per meter. The value must be positive and greater than zero for valid calculation.
Q1: What is the relationship between wave number and wavelength?
A: Wave number and wavelength are inversely proportional. Higher wave numbers correspond to shorter wavelengths, and vice versa.
Q2: What are typical values for wave numbers in ocean waves?
A: Wave numbers typically range from 0.01 to 1.0 rad/m for ocean waves, depending on wave period and water depth.
Q3: How does water depth affect wavelength?
A: In deep water, wavelength is determined solely by wave period. In shallow water, wavelength decreases as depth decreases.
Q4: What's the difference between wave number and frequency?
A: Wave number represents spatial frequency (cycles per unit distance), while frequency represents temporal frequency (cycles per unit time).
Q5: Can this formula be used for all water depths?
A: This specific formula \( \lambda = \frac{2\pi}{k} \) is valid for all depths, but the relationship between wave number and wave period changes with depth.