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Wind Speed with r-year Return Period Formula

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

U r = U m + 0.78 \cdot σ m \cdot (\ln (12 \cdot T r) - 0.577)

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

Wind Speed with r-year Return Period Example

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Here is how the Wind Speed with r-year Return Period equation looks like with Values.

Here is how the Wind Speed with r-year Return Period equation looks like with Units.

Here is how the Wind Speed with r-year Return Period equation looks like.

32.5713 = 17.5 + 0.78 \cdot 3.32 \cdot (\ln (12 \cdot 50) - 0.577)

32.5713m/s = 17.5m/s + 0.78 \cdot 3.32 \cdot (\ln (12 \cdot 50) - 0.577)

32.5713 = 17.5 + 0.78 \cdot 3.32 \cdot (\ln (12 \cdot 50) - 0.577)

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Wind Speed with r-year Return Period Solution

Follow our step by step solution on how to calculate Wind Speed with r-year Return Period?

FIRST Step Consider the formula

U r = U m + 0.78 \cdot σ m \cdot (\ln (12 \cdot T r) - 0.577)

Next Step Substitute values of Variables

∴

U r = 17.5m/s + 0.78 \cdot 3.32 \cdot (\ln (12 \cdot 50) - 0.577)

Next Step Prepare to Evaluate

∴

U r = 17.5 + 0.78 \cdot 3.32 \cdot (\ln (12 \cdot 50) - 0.577)

Next Step Evaluate

∴

U r = 32.5712898351477m/s

LAST Step Rounding Answer

∴

U r = 32.5713m/s

Wind Speed with r-year Return Period Formula Elements

Variables

Functions

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

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

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 Wind Speed with r-year Return Period?

Wind Speed with r-year Return Period evaluator uses 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) to evaluate the Wind Speed with r Year Return Period, The Wind Speed with r-year Return Period formula is defined based on the assumption that extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets. Wind Speed with r Year Return Period is denoted by U_r symbol.

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

FAQs on Wind Speed with r-year Return Period

What is the formula to find Wind Speed with r-year Return Period?

The formula of Wind Speed with r-year Return Period is expressed as 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). Here is an example- 32.57129 = 17.5+0.78*3.32*(ln(12*50)-0.577).

How to calculate Wind Speed with r-year Return Period?

With Mean Value of Maximum Monthly Wind Speeds (U_m), Standard Deviation of Maximum Monthly Wind Speeds (σ_m) & Return Period of Wind (T_r) we can find Wind Speed with r-year Return Period using the formula - 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). This formula also uses Natural Logarithm (ln) function(s).

Can the Wind Speed with r-year Return Period be negative?

Yes, the Wind Speed with r-year Return Period, measured in Speed can be negative.

Which unit is used to measure Wind Speed with r-year Return Period?

Wind Speed with r-year Return Period 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 with r-year Return Period can be measured.

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Wind Speed with r-year Return Period Formula

Wind Speed with r-year Return Period Example

Wind Speed with r-year Return Period Solution

Wind Speed with r-year Return Period Formula Elements

Other formulas in Return Period and Encounter Probability category

How to Evaluate Wind Speed with r-year Return Period?

FAQs on Wind Speed with r-year Return Period

Variable Name