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Depth given Water Surface Slope Formula

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Eckman Constant Depth is the depth in water where the effect of wind-induced movement lessens, influencing currents and turbulence within this specific layer of the ocean. Check FAQs

h = \frac{Δ \cdot τ}{β \cdot ρ water \cdot [g]}

h - Eckman Constant Depth?Δ - Coefficient of Eckman?τ - Shear Stress at the Water Surface?β - Water Surface Slope?ρ_water - Water Density?[g] - Gravitational acceleration on Earth?

Depth given Water Surface Slope Example

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Here is how the Depth given Water Surface Slope equation looks like with Values.

Here is how the Depth given Water Surface Slope equation looks like with Units.

Here is how the Depth given Water Surface Slope equation looks like.

11.9167 = \frac{1.49 \cdot 0.6}{7.7E-6 \cdot 1000 \cdot 9.8066}

11.9167m = \frac{1.49 \cdot 0.6N/m²}{7.7E-6 \cdot 1000kg/m³ \cdot 9.8066m/s²}

11.9167 = \frac{1.49 \cdot 0.6}{7.7E-6 \cdot 1000 \cdot 9.8066}

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Depth given Water Surface Slope Solution

Follow our step by step solution on how to calculate Depth given Water Surface Slope?

FIRST Step Consider the formula

h = \frac{Δ \cdot τ}{β \cdot ρ water \cdot [g]}

Next Step Substitute values of Variables

∴

h = \frac{1.49 \cdot 0.6N/m²}{7.7E-6 \cdot 1000kg/m³ \cdot [g]}

Next Step Substitute values of Constants

∴

h = \frac{1.49 \cdot 0.6N/m²}{7.7E-6 \cdot 1000kg/m³ \cdot 9.8066m/s²}

Next Step Convert Units

∴

h = \frac{1.49 \cdot 0.6Pa}{7.7E-6 \cdot 1000kg/m³ \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

h = \frac{1.49 \cdot 0.6}{7.7E-6 \cdot 1000 \cdot 9.8066}

Next Step Evaluate

∴

h = 11.9166835869578m

LAST Step Rounding Answer

∴

h = 11.9167m

Depth given Water Surface Slope Formula Elements

Variables

Constants

Eckman Constant Depth

Eckman Constant Depth is the depth in water where the effect of wind-induced movement lessens, influencing currents and turbulence within this specific layer of the ocean.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Eckman Constant Depth

Coefficient of Eckman

Coefficient of Eckman is a multiplier or factor that measures a particular property.

Symbol: Δ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Eckman

Shear Stress at the Water Surface

Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface.

Symbol: τ

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress at the Water Surface

Water Surface Slope

Water Surface Slope is the change in elevation of water level over a horizontal distance, indicating its gradient or incline.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Water Surface Slope

Water Density

Water Density is mass per unit of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Bay Superelevation category

Go Superelevation

Δ BS = a o \cdot (\frac{\sin (2 \cdot π \cdot \frac{t}{T})}{1 - \cos (2 \cdot π \cdot \frac{t}{T})})

Go Tidal Amplitude in Ocean

a o = \frac{Δ BS}{\frac{\sin (2 \cdot π \cdot \frac{t}{T})}{1 - \cos (2 \cdot π \cdot \frac{t}{T})}}

Go Superelevation due to Varying Entrance Channel Cross-Section

S = a o \cdot (1 - (\frac{{(\frac{a B}{a o})}^{2}}{4 \cdot (\frac{D t}{a o})}) - (\frac{a o}{m \cdot W}) \cdot (0.5 - (\frac{a B}{a o}) \cdot \cos (k) - ((\frac{3}{2}) \cdot {(\frac{a B}{a o})}^{2}) + 4 \cdot {(\frac{D t}{a o})}^{2}))

How to Evaluate Depth given Water Surface Slope?

Depth given Water Surface Slope evaluator uses Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g]) to evaluate the Eckman Constant Depth, The Depth given Water Surface Slope formula is defined as a parameter defined by Eckman (1905) considering the problem of an enclosed sea of finite, constant depth. Eckman Constant Depth is denoted by h symbol.

How to evaluate Depth given Water Surface Slope using this online evaluator? To use this online evaluator for Depth given Water Surface Slope, enter Coefficient of Eckman (Δ), Shear Stress at the Water Surface (τ), Water Surface Slope (β) & Water Density (ρ_water) and hit the calculate button.

FAQs on Depth given Water Surface Slope

What is the formula to find Depth given Water Surface Slope?

The formula of Depth given Water Surface Slope is expressed as Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g]). Here is an example- 11.91668 = (1.49*0.6)/(7.65E-06*1000*[g]).

How to calculate Depth given Water Surface Slope?

With Coefficient of Eckman (Δ), Shear Stress at the Water Surface (τ), Water Surface Slope (β) & Water Density (ρ_water) we can find Depth given Water Surface Slope using the formula - Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Depth given Water Surface Slope be negative?

No, the Depth given Water Surface Slope, measured in Length cannot be negative.

Which unit is used to measure Depth given Water Surface Slope?

Depth given Water Surface Slope is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth given Water Surface Slope can be measured.

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Depth given Water Surface Slope Formula

Depth given Water Surface Slope Example

Depth given Water Surface Slope Solution

Depth given Water Surface Slope Formula Elements

Other formulas in Bay Superelevation category

How to Evaluate Depth given Water Surface Slope?

FAQs on Depth given Water Surface Slope

Variable Name