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Shear Stress at Water Surface given Water Surface Slope Formula

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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. Check FAQs

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

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

Shear Stress at Water Surface given Water Surface Slope Example

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Here is how the Shear Stress at Water Surface given Water Surface Slope equation looks like with Values.

Here is how the Shear Stress at Water Surface given Water Surface Slope equation looks like with Units.

Here is how the Shear Stress at Water Surface given Water Surface Slope equation looks like.

0.6652 = \frac{3.7E-5 \cdot 1000 \cdot 9.8066 \cdot 11}{6}

0.6652N/m² = \frac{3.7E-5 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 11m}{6}

0.6652 = \frac{3.7E-5 \cdot 1000 \cdot 9.8066 \cdot 11}{6}

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Shear Stress at Water Surface given Water Surface Slope Solution

Follow our step by step solution on how to calculate Shear Stress at Water Surface given Water Surface Slope?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \frac{3.7E-5 \cdot 1000kg/m³ \cdot [g] \cdot 11m}{6}

Next Step Substitute values of Constants

∴

τ = \frac{3.7E-5 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 11m}{6}

Next Step Prepare to Evaluate

∴

τ = \frac{3.7E-5 \cdot 1000 \cdot 9.8066 \cdot 11}{6}

Next Step Evaluate

∴

τ = 0.665217758333333Pa

Next Step Convert to Output's Unit

∴

τ = 0.665217758333333N/m²

LAST Step Rounding Answer

∴

τ = 0.6652N/m²

Shear Stress at Water Surface given Water Surface Slope Formula Elements

Variables

Constants

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

The Water Surface Slope describes how it inclines or changes with distance. It's pivotal in understanding water flow in channels like rivers or pipes, influencing the speed and behavior of the water.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Water Surface Slope

Density of Water

Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Water

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 Eckman

Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.

Symbol: Δ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient Eckman

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 Methods to Predict Channel Shoaling category

Go Transport Ratio

t r = {(\frac{d 1}{d 2})}^{\frac{5}{2}}

Go Depth before Dredging given Transport Ratio

d 1 = d 2 \cdot {t r}^{\frac{2}{5}}

Go Depth after Dredging given Transport Ratio

d 2 = \frac{d 1}{{t r}^{\frac{2}{5}}}

Go Density of Water given Water Surface Slope

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

How to Evaluate Shear Stress at Water Surface given Water Surface Slope?

Shear Stress at Water Surface given Water Surface Slope evaluator uses Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman to evaluate the Shear Stress at the Water Surface, The Shear Stress at Water Surface given Water Surface Slope formula is defined as a measure of the force of friction from a fluid acting on a body in the path of that fluid. Shear Stress at the Water Surface is denoted by τ symbol.

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

FAQs on Shear Stress at Water Surface given Water Surface Slope

What is the formula to find Shear Stress at Water Surface given Water Surface Slope?

The formula of Shear Stress at Water Surface given Water Surface Slope is expressed as Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman. Here is an example- 0.604743 = (3.7E-05*1000*[g]*11)/6.

How to calculate Shear Stress at Water Surface given Water Surface Slope?

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

Can the Shear Stress at Water Surface given Water Surface Slope be negative?

No, the Shear Stress at Water Surface given Water Surface Slope, measured in Pressure cannot be negative.

Which unit is used to measure Shear Stress at Water Surface given Water Surface Slope?

Shear Stress at Water Surface given Water Surface Slope is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Shear Stress at Water Surface given Water Surface Slope can be measured.

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Shear Stress at Water Surface given Water Surface Slope Formula

Shear Stress at Water Surface given Water Surface Slope Example

Shear Stress at Water Surface given Water Surface Slope Solution

Shear Stress at Water Surface given Water Surface Slope Formula Elements

Other formulas in Methods to Predict Channel Shoaling category

How to Evaluate Shear Stress at Water Surface given Water Surface Slope?

FAQs on Shear Stress at Water Surface given Water Surface Slope

Variable Name