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))
Um = Ur-(0.78*σm*(ln(12*Tr)-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 refers to the average of the highest wind speeds recorded each month over a specified period.
Wind Speed with r Year Return Period - (Measured in Meter per Second) - wind speed with r year Return Period refers to the need for wind speed return levels corresponding to return periods.
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.
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
Um = Ur-(0.78*σm*(ln(12*Tr)-0.577)) --> 32.6-(0.78*3.32*(ln(12*50)-0.577))
Evaluating ... ...
Um = 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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Return Period and Encounter Probability Calculators

Encounter Probability
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Time Interval associated with each Data Point = Return Period of Wind*(1-Cumulative Probability)
Return Period given Cumulative Probability
​ LaTeX ​ 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

​LaTeX ​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))
Um = Ur-(0.78*σm*(ln(12*Tr)-0.577))

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 Um 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 (Ur), Standard Deviation of Maximum Monthly Wind Speeds m) & Return Period of Wind (Tr) 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 Um = Ur-(0.78*σm*(ln(12*Tr)-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 refers to the need for wind speed return levels corresponding to return periods, 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 & 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 (Ur), Standard Deviation of Maximum Monthly Wind Speeds m) & Return Period of Wind (Tr). 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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