🌊 About Tidal Height Calculator

The Tidal Height Calculator helps estimate the current sea level relative to mean sea level by modeling tides as a smooth, repeating wave. It is designed for educational, planning, and general marine awareness purposes where official tide tables are unavailable.

This calculator uses a sinusoidal tide approximation, which closely represents real-world tidal behavior caused by gravitational interactions between the Earth, Moon, and Sun.

⚙️ How It Works

Mean Sea Level is used as the baseline reference.
Tidal Range determines how much the sea level rises and falls.
Time Since High Tide defines the position within the tidal cycle.
Tidal Period sets the full duration of one tide cycle (typically ~12.42 hours).

The calculator applies a cosine-based wave equation to determine the instantaneous tidal height.

🧮 Formula Used

Tidal Height=Mean Sea Level+Tidal Range2×cos⁡(2π×Time Since High TideTidal Period)\text{Tidal Height} = \text{Mean Sea Level} + \frac{\text{Tidal Range}}{2} \times \cos\left(\frac{2\pi \times \text{Time Since High Tide}}{\text{Tidal Period}}\right)Tidal Height=Mean Sea Level+2Tidal Range×cos(Tidal Period2π×Time Since High Tide)

📌 Interpretation of Results

High Tide – Sea level near its maximum
Mid Tide – Transition phase between high and low tide
Low Tide – Sea level near its minimum

🎯 Who Should Use This Tool

🌊 Marine science students
🚤 Boaters and sailors (basic estimation)
🏗️ Coastal planners
📚 Teachers & educators
🧪 Physics and oceanography learners

⚠️ Important Note

This calculator provides an approximation.
For navigation, safety, or engineering work, always rely on official tide tables from authorized agencies.

🧪 Example Calculation

Input

Mean Sea Level: 0 m
Tidal Range: 2 m
Time Since High Tide: 3 hrs
Tidal Period: 12.42 hrs

Output

Current Tidal Height: ≈ 0.05 m
Tide State: Mid Tide

❓ Frequently Asked Questions

Is this calculator accurate?

It is scientifically valid for general estimation and learning, but not a replacement for official tidal predictions.

Why is 12.42 hours used as default?

12.42 hours is the average lunar semidiurnal tidal period.

Can I use this for fishing or boating?

Yes, for rough planning, but not for safety-critical decisions.