FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Formula

Fx Copy

LaTeX Copy

Standard Deviation of Maximum Monthly Wind Speeds refers to the statistical measure that quantifies the amount of variation in the maximum wind speeds recorded each month over a specified period. Check FAQs

σ m = \frac{U r - U m}{0.78 \cdot (\ln (12 \cdot T r) - 0.577)}

σ_m - Standard Deviation of Maximum Monthly Wind Speeds?U_r - Wind Speed with r Year Return Period?U_m - Mean Value of Maximum Monthly Wind Speeds?T_r - Return Period of Wind?

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Example

With values

With units

Only example

Here is how the Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period equation looks like with Values.

Here is how the Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period equation looks like with Units.

Here is how the Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period equation looks like.

3.3263 = \frac{32.6 - 17.5}{0.78 \cdot (\ln (12 \cdot 50) - 0.577)}

3.3263 = \frac{32.6m/s - 17.5m/s}{0.78 \cdot (\ln (12 \cdot 50) - 0.577)}

3.3263 = \frac{32.6 - 17.5}{0.78 \cdot (\ln (12 \cdot 50) - 0.577)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Solution

Follow our step by step solution on how to calculate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

FIRST Step Consider the formula

σ m = \frac{U r - U m}{0.78 \cdot (\ln (12 \cdot T r) - 0.577)}

Next Step Substitute values of Variables

∴

σ m = \frac{32.6m/s - 17.5m/s}{0.78 \cdot (\ln (12 \cdot 50) - 0.577)}

Next Step Prepare to Evaluate

∴

σ m = \frac{32.6 - 17.5}{0.78 \cdot (\ln (12 \cdot 50) - 0.577)}

Next Step Evaluate

∴

σ m = 3.32632445851365

LAST Step Rounding Answer

∴

σ m = 3.3263

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Formula Elements

Variables

Functions

Standard Deviation of Maximum Monthly Wind Speeds

Standard Deviation of Maximum Monthly Wind Speeds refers to the statistical measure that quantifies the amount of variation in the maximum wind speeds recorded each month over a specified period.

Symbol: σ_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Deviation of Maximum Monthly Wind Speeds

Wind Speed with r Year Return Period

wind speed with r year Return Period refers to the need for wind speed return levels corresponding to return periods.

Symbol: U_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Wind Speed with r Year Return Period

Mean Value of Maximum Monthly Wind Speeds

Mean Value of Maximum Monthly Wind Speeds refers to the average of the highest wind speeds recorded each month over a specified period.

Symbol: U_m

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Value of Maximum Monthly Wind Speeds

Return Period of Wind

Return Period of Wind is an average time or an estimated average time between events such as winds.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Return Period of Wind

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Return Period and Encounter Probability category

Go Return Period given Cumulative Probability

T r = \frac{t}{1 - PH s}

Go Time Interval Associated with Each Data Point given Return Period

t = T r \cdot (1 - PH s)

Go Cumulative Probability of Design Significant Wave Height given Return Period

PH s = - ((\frac{t}{T r}) - 1)

Go Encounter Probability

P e = 1 - {(1 - (\frac{t}{T r}))}^{L}

How to Evaluate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period evaluator uses Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577)) to evaluate the Standard Deviation of Maximum Monthly Wind Speeds, The Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period formula is defined as a parameter influencing extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets. Standard Deviation of Maximum Monthly Wind Speeds is denoted by σ_m symbol.

How to evaluate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period using this online evaluator? To use this online evaluator for Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period, enter Wind Speed with r Year Return Period (U_r), Mean Value of Maximum Monthly Wind Speeds (U_m) & Return Period of Wind (T_r) and hit the calculate button.

FAQs on Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

What is the formula to find Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

The formula of Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period is expressed as Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577)). Here is an example- 3.326324 = (32.6-17.5)/(0.78*(ln(12*50)-0.577)).

How to calculate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

With Wind Speed with r Year Return Period (U_r), Mean Value of Maximum Monthly Wind Speeds (U_m) & Return Period of Wind (T_r) we can find Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period using the formula - Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577)). This formula also uses Natural Logarithm (ln) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Formula

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Example

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Solution

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Formula Elements

Other formulas in Return Period and Encounter Probability category

How to Evaluate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

FAQs on Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

Variable Name