Ocean Tide Amplitude using King's Dimensionless Variable Calculator

✖River or Freshwater Inflow to a Bay is the water that is less saline than marine water.ⓘ River or Freshwater Inflow to a Bay [Qr]			+10% -10%
✖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.ⓘ Tidal Period [T]			+10% -10%
✖King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly.ⓘ King’s Dimensionless Variable for Freshwater [Qr']			+10% -10%
✖Surface Area of Bay is defined as a small body of water set off from the main body.ⓘ Surface Area of Bay [A_b]			+10% -10%

✖Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.ⓘ Ocean Tide Amplitude using King's Dimensionless Variable [a_o]

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Ocean Tide Amplitude using King's Dimensionless Variable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay)
a_o = (Qr*T)/(Qr'*2*pi*A_b)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Ocean Tide Amplitude - (Measured in Meter) - Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.
River or Freshwater Inflow to a Bay - (Measured in Cubic Meter per Second) - River or Freshwater Inflow to a Bay is the water that is less saline than marine water.
Tidal Period - (Measured in Second) - 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.
King’s Dimensionless Variable for Freshwater - King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly.
Surface Area of Bay - (Measured in Square Meter) - Surface Area of Bay is defined as a small body of water set off from the main body.

STEP 1: Convert Input(s) to Base Unit

River or Freshwater Inflow to a Bay: 10 Cubic Meter per Minute --> 0.166666666666667 Cubic Meter per Second (Check conversion here)
Tidal Period: 130 Second --> 130 Second No Conversion Required
King’s Dimensionless Variable for Freshwater: 0.57 --> No Conversion Required
Surface Area of Bay: 1.5001 Square Meter --> 1.5001 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = (Qr*T)/(Qr'*2*pi*A_b) --> (0.166666666666667*130)/(0.57*2*pi*1.5001)

Evaluating ... ...

a_o = 4.03289733938721

STEP 3: Convert Result to Output's Unit

4.03289733938721 Meter --> No Conversion Required

FINAL ANSWER

4.03289733938721 ≈ 4.032897 Meter <-- Ocean Tide Amplitude

(Calculation completed in 00.021 seconds)

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< Effect of Freshwater Inflow Calculators

Ocean Tide Amplitude using King's Dimensionless Variable

LaTeX Go Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay)

River or Freshwater Inflow to Bay using King's Dimensionless Variable

LaTeX Go River or Freshwater Inflow to a Bay = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/Tidal Period

Tidal Period using King's Dimensionless Variable

LaTeX Go Tidal Period = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay

King's Dimensionless Variable

LaTeX Go King’s Dimensionless Variable for Freshwater = River or Freshwater Inflow to a Bay*Tidal Period/(2*pi*Ocean Tide Amplitude*Surface Area of Bay)

Ocean Tide Amplitude using King's Dimensionless Variable Formula

LaTeX Go

Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay)
a_o = (Qr*T)/(Qr'*2*pi*A_b)

What are the Effect of Freshwater Inflow?

If a significant amount of fresh water is introduced into the bay relative to the tidal prism of the inlet, there will be significant changes in bay tide range and velocity through the inlet. King (1974) included freshwater inflow into a Keulegan type model (which did not include the inertial term in the 1-D equation of motion).

How to Calculate Ocean Tide Amplitude using King's Dimensionless Variable?

Ocean Tide Amplitude using King's Dimensionless Variable calculator uses Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay) to calculate the Ocean Tide Amplitude, The Ocean Tide Amplitude using King's Dimensionless Variable is defined as the elevation of tidal high water above mean sea level. Ocean Tide Amplitude is denoted by a_o symbol.

How to calculate Ocean Tide Amplitude using King's Dimensionless Variable using this online calculator? To use this online calculator for Ocean Tide Amplitude using King's Dimensionless Variable, enter River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), King’s Dimensionless Variable for Freshwater (Qr') & Surface Area of Bay (A_b) and hit the calculate button. Here is how the Ocean Tide Amplitude using King's Dimensionless Variable calculation can be explained with given input values -> 4.033166 = (0.166666666666667*130)/(0.57*2*pi*1.5001).

FAQ

What is Ocean Tide Amplitude using King's Dimensionless Variable?

The Ocean Tide Amplitude using King's Dimensionless Variable is defined as the elevation of tidal high water above mean sea level and is represented as a_o = (Qr*T)/(Qr'*2*pi*A_b) or Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay). River or Freshwater Inflow to a Bay is the water that is less saline than marine water, 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, King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly & Surface Area of Bay is defined as a small body of water set off from the main body.

How to calculate Ocean Tide Amplitude using King's Dimensionless Variable?

The Ocean Tide Amplitude using King's Dimensionless Variable is defined as the elevation of tidal high water above mean sea level is calculated using Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay). To calculate Ocean Tide Amplitude using King's Dimensionless Variable, you need River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), King’s Dimensionless Variable for Freshwater (Qr') & Surface Area of Bay (A_b). With our tool, you need to enter the respective value for River or Freshwater Inflow to a Bay, Tidal Period, King’s Dimensionless Variable for Freshwater & Surface Area of Bay and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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