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Significant Wave Height in SMB Prediction Method Formula

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Significant Wave Height for SMB Prediction Method is defined traditionally as the mean wave height of the highest third of the waves. Check FAQs

H sig = \frac{U^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot φ^{0.42})}{[g]}

H_sig - Significant Wave Height for SMB Prediction Method?U - Wind Speed?φ - Fetch Parameter?[g] - Gravitational acceleration on Earth?

Significant Wave Height in SMB Prediction Method Example

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Here is how the Significant Wave Height in SMB Prediction Method equation looks like with Values.

Here is how the Significant Wave Height in SMB Prediction Method equation looks like with Units.

Here is how the Significant Wave Height in SMB Prediction Method equation looks like.

0.0063 = \frac{4^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}{9.8066}

0.0063m = \frac{{4m/s}^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}{9.8066m/s²}

0.0063 = \frac{4^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}{9.8066}

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Significant Wave Height in SMB Prediction Method Solution

Follow our step by step solution on how to calculate Significant Wave Height in SMB Prediction Method?

FIRST Step Consider the formula

H sig = \frac{U^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot φ^{0.42})}{[g]}

Next Step Substitute values of Variables

∴

H sig = \frac{{4m/s}^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}{[g]}

Next Step Substitute values of Constants

∴

H sig = \frac{{4m/s}^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

H sig = \frac{4^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}{9.8066}

Next Step Evaluate

∴

H sig = 0.00627393700902667m

LAST Step Rounding Answer

∴

H sig = 0.0063m

Significant Wave Height in SMB Prediction Method Formula Elements

Variables

Constants

Functions

Significant Wave Height for SMB Prediction Method

Significant Wave Height for SMB Prediction Method is defined traditionally as the mean wave height of the highest third of the waves.

Symbol: H_sig

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Significant Wave Height for SMB Prediction Method

Wind Speed

Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed

Fetch Parameter

Fetch Parameter is often associated with the concept of fetch, which is the unobstructed distance over which the wind blows across a body of water in a constant direction.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fetch Parameter

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

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

Other formulas in SMB Prediction Method category

Go Wind Speed for Significant Wave Height in SMB Prediction Method

U = \sqrt{[g] \cdot \frac{H sig}{0.283 \cdot \tanh (0.0125 \cdot φ^{0.42})}}

Go Period of Significant Wave in SMB Prediction Method

T sig = \frac{U \cdot 7.540 \cdot \tanh (0.077 \cdot φ^{0.25})}{[g]}

Go Wind Speed given Period of Significant Wave in SMB Prediction Method

U = \frac{[g] \cdot T sig}{7.540 \cdot \tanh (0.077 \cdot φ^{0.25})}

Go Fetch Parameter in SMB Prediction Method

φ = \frac{[g] \cdot F l}{U^{2}}

How to Evaluate Significant Wave Height in SMB Prediction Method?

Significant Wave Height in SMB Prediction Method evaluator uses Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g] to evaluate the Significant Wave Height for SMB Prediction Method, The Significant Wave Height in SMB Prediction Method formula is defined as a semi-empirical method that has been used for the prediction of the significant wave height (H_s) in global watersheds. Significant Wave Height for SMB Prediction Method is denoted by H_sig symbol.

How to evaluate Significant Wave Height in SMB Prediction Method using this online evaluator? To use this online evaluator for Significant Wave Height in SMB Prediction Method, enter Wind Speed (U) & Fetch Parameter (φ) and hit the calculate button.

FAQs on Significant Wave Height in SMB Prediction Method

What is the formula to find Significant Wave Height in SMB Prediction Method?

The formula of Significant Wave Height in SMB Prediction Method is expressed as Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]. Here is an example- 0.006274 = (4^2*0.283*tanh(0.0125*1.22^0.42))/[g].

How to calculate Significant Wave Height in SMB Prediction Method?

With Wind Speed (U) & Fetch Parameter (φ) we can find Significant Wave Height in SMB Prediction Method using the formula - Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]. This formula also uses Gravitational acceleration on Earth constant(s) and Hyperbolic Tangent (tanh) function(s).

Can the Significant Wave Height in SMB Prediction Method be negative?

Yes, the Significant Wave Height in SMB Prediction Method, measured in Length can be negative.

Which unit is used to measure Significant Wave Height in SMB Prediction Method?

Significant Wave Height in SMB Prediction Method is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Significant Wave Height in SMB Prediction Method can be measured.

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