Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period Calculator

✖wind speed with r year return period is the wind speed in r year of return period.ⓘ Wind Speed with r Year Return Period [U_r]			+10% -10%
✖Standard Deviation of Maximum Monthly Wind Speeds.ⓘ Standard Deviation of Maximum Monthly Wind Speeds [σ_m]			+10% -10%
✖Return Period of wind is an average time or an estimated average time between events such as winds.ⓘ Return Period of Wind [T_r]			+10% -10%

✖Mean Value of Maximum Monthly Wind Speeds.ⓘ Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period [U_m]

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Formula

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Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period

Formula

`"U"_{"m"} = "U"_{"r"}-(0.78*"σ"_{"m"}*(ln(12*"T"_{"r"})-0.577))`

Example

`"17.52871m/s"="32.6m/s"-(0.78*"3.32"*(ln(12*"50")-0.577))`

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Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577))
U_m = U_r-(0.78*σ_m*(ln(12*T_r)-0.577))
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Mean Value of Maximum Monthly Wind Speeds - (Measured in Meter per Second) - Mean Value of Maximum Monthly Wind Speeds.
Wind Speed with r Year Return Period - (Measured in Meter per Second) - wind speed with r year return period is the wind speed in r year of return period.
Standard Deviation of Maximum Monthly Wind Speeds - Standard Deviation 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.

STEP 1: Convert Input(s) to Base Unit

Wind Speed with r Year Return Period: 32.6 Meter per Second --> 32.6 Meter per Second No Conversion Required
Standard Deviation of Maximum Monthly Wind Speeds: 3.32 --> No Conversion Required
Return Period of Wind: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_m = U_r-(0.78*σ_m*(ln(12*T_r)-0.577)) --> 32.6-(0.78*3.32*(ln(12*50)-0.577))

Evaluating ... ...

U_m = 17.5287101648523

STEP 3: Convert Result to Output's Unit

17.5287101648523 Meter per Second --> No Conversion Required

FINAL ANSWER

17.5287101648523 ≈ 17.52871 Meter per Second <-- Mean Value of Maximum Monthly Wind Speeds

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 9 Return Period and Encounter Probability Calculators

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

Go 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))

Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period

Go Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577))

Wind Speed with r-year Return Period

Go Wind Speed with r Year Return Period = Mean Value of Maximum Monthly Wind Speeds+0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)

Significant Wave Height for Free Long Waves

Go Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25

Velocity at Surface given Volume Flow Rate Per Unit of Ocean Width

Go Velocity at the Surface = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Depth of Frictional Influence

Encounter Probability

Go Encounter Probability = 1-(1-(Time Interval associated with each data point/Return Period of Wind))^(Desired Time Period)

Cumulative Probability of Design Significant Wave Height given Return Period

Go Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1)

Time Interval Associated with Each Data Point given Return Period

Go Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability)

Return Period given Cumulative Probability

Go Return Period of Wind = Time Interval associated with each data point/(1-Cumulative Probability)

Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period Formula

What is Return Period?

A Return Period, also known as a recurrence interval or repeat interval, is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.

What is Cumulative Probability?

A Cumulative Probability refers to the probability that the value of a random variable falls within a specified range. Frequently, cumulative probabilities refer to the probability that a random variable is less than or equal to a specified value.

How to Calculate Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period?

Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period calculator uses Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)) to calculate the Mean Value of Maximum Monthly Wind Speeds, The Mean Value of Maximum Monthly Wind Speeds for 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. Mean Value of Maximum Monthly Wind Speeds is denoted by U_m symbol.

How to calculate Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period using this online calculator? To use this online calculator for Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period, enter Wind Speed with r Year Return Period (U_r), Standard Deviation of Maximum Monthly Wind Speeds (σ_m) & Return Period of Wind (T_r) and hit the calculate button. Here is how the Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period calculation can be explained with given input values -> 17.52871 = 32.6-(0.78*3.32*(ln(12*50)-0.577)).

FAQ

What is Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period?

The Mean Value of Maximum Monthly Wind Speeds for 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 and is represented as U_m = U_r-(0.78*σ_m*(ln(12*T_r)-0.577)) or Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)). wind speed with r year return period is the wind speed in r year of return period, Standard Deviation of Maximum Monthly Wind Speeds & Return Period of wind is an average time or an estimated average time between events such as winds.

How to calculate Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period?

The Mean Value of Maximum Monthly Wind Speeds for 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 is calculated using Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)). To calculate Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period, you need Wind Speed with r Year Return Period (U_r), Standard Deviation of Maximum Monthly Wind Speeds (σ_m) & Return Period of Wind (T_r). With our tool, you need to enter the respective value for Wind Speed with r Year Return Period, Standard Deviation of Maximum Monthly Wind Speeds & Return Period of Wind and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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