Tidal Period Given Total Maximum Discharge For Total Of All Inlets Calculator

Formula Used:

\[ T = \frac{2 \times \pi \times a_o \times V_{max} \times A_b}{Q_{max}} \]

Ocean Tide Amplitude (a₀):

Maximum Velocity in the Inlet Throat (V_max):

m/s

Surface Area of Bay (A_b):

m²

Maximum Discharge of Total Inlets (Q_max):

m³/s

Tidal Period (T):

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1. What is Tidal Period?

Tidal Period is the time taken for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as "tidal day" and it's slightly longer than a solar day.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{2 \times \pi \times a_o \times V_{max} \times A_b}{Q_{max}} \]

Where:

\( T \) — Tidal Period (seconds)
\( \pi \) — Archimedes' constant (≈3.1416)
\( a_o \) — Ocean Tide Amplitude (meters)
\( V_{max} \) — Maximum Velocity in the Inlet Throat (m/s)
\( A_b \) — Surface Area of Bay (m²)
\( Q_{max} \) — Maximum Discharge of Total Inlets (m³/s)

Explanation: This formula calculates the tidal period based on the relationship between tidal amplitude, inlet velocity, bay surface area, and maximum discharge through inlets.

3. Importance of Tidal Period Calculation

Details: Accurate tidal period calculation is crucial for coastal engineering, navigation planning, tidal energy projects, and understanding coastal ecosystem dynamics.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for length, m/s for velocity, m² for area, and m³/s for discharge). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for tidal periods?
A: Most locations experience tidal periods of approximately 12 hours and 25 minutes for semi-diurnal tides, or 24 hours and 50 minutes for diurnal tides.

Q2: How does bay surface area affect tidal period?
A: Larger bay surface areas generally result in longer tidal periods due to increased water volume that needs to flow through the inlets.

Q3: What factors influence maximum velocity in the inlet throat?
A: Inlet geometry, tidal range, and bottom friction are the primary factors affecting maximum velocity in the inlet throat.

Q4: How accurate is this calculation method?
A: This formula provides a good approximation for simple tidal systems but may need adjustment for complex geometries or significant friction effects.

Q5: Can this formula be used for any tidal system?
A: This formula works best for systems with well-defined inlets and bays where the assumptions of the model hold true.