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Ocean Wavelength

Ocean Wavelength Equation:

\[ \lambda = \frac{g T^2}{2 \pi} \]

seconds

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1. What is Ocean Wavelength?

Ocean wavelength (λ) is the distance between two successive wave crests or troughs in deep water waves. It is a fundamental property that determines many wave characteristics and behaviors.

2. How Does the Calculator Work?

The calculator uses the deep water wavelength equation:

\[ \lambda = \frac{g T^2}{2 \pi} \]

Where:

Explanation: This equation applies to deep water waves where water depth is greater than half the wavelength. The relationship shows that wavelength increases with the square of the wave period.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is crucial for maritime navigation, coastal engineering, offshore operations, and understanding wave energy distribution. It helps predict wave behavior, interference patterns, and potential impacts on marine structures.

4. Using the Calculator

Tips: Enter the wave period in seconds. The period must be a positive value greater than zero. The calculator assumes standard gravity (9.81 m/s²) and deep water conditions.

5. Frequently Asked Questions (FAQ)

Q1: What defines "deep water" for this equation?
A: Deep water conditions exist when water depth is greater than half the wavelength (d > λ/2). In shallower water, different equations apply.

Q2: How does wavelength relate to wave speed?
A: In deep water, wave speed (c) = λ/T = gT/(2π). Wavelength and wave speed both increase with wave period.

Q3: What are typical ocean wavelength values?
A: Ocean wavelengths typically range from 10-200 meters for wind waves, up to 400+ meters for swell waves, and can exceed 1000 meters for tsunamis.

Q4: Does this equation work for all wave types?
A: This specific equation applies only to surface gravity waves in deep water. Different equations are needed for shallow water waves, capillary waves, or other wave types.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the idealized deep water case. Real-world accuracy depends on how well conditions match the deep water assumption and measurement precision of the wave period.

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