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Wind Speed for Significant Wave Height in SMB Prediction Method Formula

GoWind Speed given Period of Significant Wave in SMB Prediction Method Formula

GoWind Speed given Fetch Parameter in SMB Prediction Method Formula

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

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

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

Wind Speed for Significant Wave Height in SMB Prediction Method Example

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

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

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

4.0083 = \sqrt{9.8066 \cdot \frac{0.0063}{0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}}

4.0083m/s = \sqrt{9.8066m/s² \cdot \frac{0.0063m}{0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}}

4.0083 = \sqrt{9.8066 \cdot \frac{0.0063}{0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}}

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Wind Speed for Significant Wave Height in SMB Prediction Method Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U = \sqrt{[g] \cdot \frac{0.0063m}{0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}}

Next Step Substitute values of Constants

∴

U = \sqrt{9.8066m/s² \cdot \frac{0.0063m}{0.283 \cdot \tanh (0.0125 \cdot {1.22}^{0.42})}}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

U = 4.00829972615228m/s

LAST Step Rounding Answer

∴

U = 4.0083m/s

Wind Speed for Significant Wave Height in SMB Prediction Method Formula Elements

Variables

Constants

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 to find Wind Speed

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 Wind Speed given Fetch Parameter in SMB Prediction Method

U = \sqrt{[g] \cdot \frac{F l}{φ}}

Go Wind Speed given Duration of Wind in SMB Prediction Method

U = \frac{[g] \cdot d}{6.5882 \cdot \exp ({(0.0161 \cdot ({\ln (φ)}^{2}) - 0.3692 \cdot \ln (φ) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (φ))}

Other formulas in SMB Prediction Method category

Go Significant Wave Height in SMB Prediction Method

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

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 Fetch Parameter in SMB Prediction Method

φ = \frac{[g] \cdot F l}{U^{2}}

Go Fetch Length given Fetch Parameter in SMB Prediction Method

F l = \frac{φ \cdot U^{2}}{[g]}

How to Evaluate Wind Speed for Significant Wave Height in SMB Prediction Method?

Wind Speed for Significant Wave Height in SMB Prediction Method evaluator uses Wind Speed = sqrt([g]*Significant Wave Height for SMB Prediction Method/(0.283*tanh(0.0125*Fetch Parameter^0.42))) to evaluate the Wind Speed, The Wind Speed for Significant Wave Height in SMB Prediction Method formula is defined as a crucial parameter determining wave height, aiding in forecasting wave conditions accurately. Wind Speed is denoted by U symbol.

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

FAQs on Wind Speed for Significant Wave Height in SMB Prediction Method

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

The formula of Wind Speed for Significant Wave Height in SMB Prediction Method is expressed as Wind Speed = sqrt([g]*Significant Wave Height for SMB Prediction Method/(0.283*tanh(0.0125*Fetch Parameter^0.42))). Here is an example- 4.0083 = sqrt([g]*0.0063/(0.283*tanh(0.0125*1.22^0.42))).

How to calculate Wind Speed for Significant Wave Height in SMB Prediction Method?

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

What are the other ways to Calculate Wind Speed?

Here are the different ways to Calculate Wind Speed-

Wind Speed=([g]*Significant Wave Period)/(7.540*tanh(0.077*Fetch Parameter^0.25))
Wind Speed=sqrt([g]*Fetch Length/Fetch Parameter)
Wind Speed=([g]*Duration of the Wind)/(6.5882*exp((0.0161*(ln(Fetch Parameter)^2)-0.3692*ln(Fetch Parameter)+2.2024)^0.5+0.8798*ln(Fetch Parameter)))

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

No, the Wind Speed for Significant Wave Height in SMB Prediction Method, measured in Speed cannot be negative.

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

Wind Speed for Significant Wave Height in SMB Prediction Method is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Wind Speed for Significant Wave Height in SMB Prediction Method can be measured.

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