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Significant Wave Period from Bretschneider Empirical Relationships Formula

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Wave Period is the time it takes for successive wave crests or troughs to pass a fixed point. Check FAQs

T = \frac{U \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{[g] \cdot F l}{U^{2}})}^{0.25})}{[g]}

T - Wave Period?U - Wind Speed?F_l - Fetch Length?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?

Significant Wave Period from Bretschneider Empirical Relationships Example

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Here is how the Significant Wave Period from Bretschneider Empirical Relationships equation looks like with Values.

Here is how the Significant Wave Period from Bretschneider Empirical Relationships equation looks like with Units.

Here is how the Significant Wave Period from Bretschneider Empirical Relationships equation looks like.

0.6227 = \frac{25 \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{9.8066 \cdot 2}{25^{2}})}^{0.25})}{9.8066}

0.6227s = \frac{25m/s \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{9.8066m/s² \cdot 2m}{{25m/s}^{2}})}^{0.25})}{9.8066m/s²}

0.6227 = \frac{25 \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{9.8066 \cdot 2}{25^{2}})}^{0.25})}{9.8066}

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Significant Wave Period from Bretschneider Empirical Relationships Solution

Follow our step by step solution on how to calculate Significant Wave Period from Bretschneider Empirical Relationships?

FIRST Step Consider the formula

T = \frac{U \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{[g] \cdot F l}{U^{2}})}^{0.25})}{[g]}

Next Step Substitute values of Variables

∴

T = \frac{25m/s \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{[g] \cdot 2m}{{25m/s}^{2}})}^{0.25})}{[g]}

Next Step Substitute values of Constants

∴

T = \frac{25m/s \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{9.8066m/s² \cdot 2m}{{25m/s}^{2}})}^{0.25})}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

T = \frac{25 \cdot 7.54 \cdot \tanh (0.077 \cdot {(\frac{9.8066 \cdot 2}{25^{2}})}^{0.25})}{9.8066}

Next Step Evaluate

∴

T = 0.622726083804836s

LAST Step Rounding Answer

∴

T = 0.6227s

Significant Wave Period from Bretschneider Empirical Relationships Formula Elements

Variables

Constants

Functions

Wave Period

Wave Period is the time it takes for successive wave crests or troughs to pass a fixed point.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Wave Period

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 Length

Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

Symbol: F_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fetch Length

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

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 Predicting Waves in Deep Water category

Go Significant Wave Height from Bretschneider Empirical Relationships

H dw = \frac{U^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot {(\frac{[g] \cdot F l}{U^{2}})}^{0.42})}{[g]}

Go Wave Number given Wavelength, Wave Period and Water Depth

k = \frac{a \tanh (\frac{L \cdot ω}{[g] \cdot T})}{d}

Go Water Depth given Wavelength, Wave Period and Wave Number

d = \frac{a \tanh (\frac{L \cdot ω}{[g] \cdot T})}{k}

How to Evaluate Significant Wave Period from Bretschneider Empirical Relationships?

Significant Wave Period from Bretschneider Empirical Relationships evaluator uses Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g] to evaluate the Wave Period, The Significant Wave Period from Bretschneider Empirical Relationships formula is defined as the duration between successive significant wave crests or troughs estimated using empirical equations developed by Bretschneider for modelling wave characteristics in marine or coastal environments. Wave Period is denoted by T symbol.

How to evaluate Significant Wave Period from Bretschneider Empirical Relationships using this online evaluator? To use this online evaluator for Significant Wave Period from Bretschneider Empirical Relationships, enter Wind Speed (U) & Fetch Length (F_l) and hit the calculate button.

FAQs on Significant Wave Period from Bretschneider Empirical Relationships

What is the formula to find Significant Wave Period from Bretschneider Empirical Relationships?

The formula of Significant Wave Period from Bretschneider Empirical Relationships is expressed as Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]. Here is an example- 0.622726 = (25*7.54*tanh(0.077*(([g]*2)/25^2)^0.25))/[g].

How to calculate Significant Wave Period from Bretschneider Empirical Relationships?

With Wind Speed (U) & Fetch Length (F_l) we can find Significant Wave Period from Bretschneider Empirical Relationships using the formula - Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]. This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth constant(s) and Hyperbolic Tangent Function function(s).

Can the Significant Wave Period from Bretschneider Empirical Relationships be negative?

No, the Significant Wave Period from Bretschneider Empirical Relationships, measured in Time cannot be negative.

Which unit is used to measure Significant Wave Period from Bretschneider Empirical Relationships?

Significant Wave Period from Bretschneider Empirical Relationships is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Significant Wave Period from Bretschneider Empirical Relationships can be measured.

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Significant Wave Period from Bretschneider Empirical Relationships Formula

Significant Wave Period from Bretschneider Empirical Relationships Example

Significant Wave Period from Bretschneider Empirical Relationships Solution

Significant Wave Period from Bretschneider Empirical Relationships Formula Elements

Other formulas in Predicting Waves in Deep Water category

How to Evaluate Significant Wave Period from Bretschneider Empirical Relationships?

FAQs on Significant Wave Period from Bretschneider Empirical Relationships

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