Return Period given Cumulative Probability Calculator

✖Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid.ⓘ Time Interval associated with each Data Point [t]			+10% -10%
✖Cumulative Probability refers to the likelihood that the value of a random variable is within a given range lesser than or equal to design significant wave height.ⓘ Cumulative Probability [PH_s]			+10% -10%

✖Return Period of Wind is an average time or an estimated average time between events such as winds.ⓘ Return Period given Cumulative Probability [T_r]

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Return Period given Cumulative Probability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability)
T_r = t/(1-PH_s)
This formula uses 3 Variables

Variables Used

Return Period of Wind - Return Period of Wind is an average time or an estimated average time between events such as winds.
Time Interval associated with each Data Point - Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid.
Cumulative Probability - Cumulative Probability refers to the likelihood that the value of a random variable is within a given range lesser than or equal to design significant wave height.

STEP 1: Convert Input(s) to Base Unit

Time Interval associated with each Data Point: 30 --> No Conversion Required
Cumulative Probability: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = t/(1-PH_s) --> 30/(1-0.4)

Evaluating ... ...

T_r = 50

STEP 3: Convert Result to Output's Unit

50 --> No Conversion Required

FINAL ANSWER

50 <-- Return Period of Wind

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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)

Return Period given Cumulative Probability Formula

LaTeX Go

Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability)
T_r = t/(1-PH_s)

What is Return Period?

Extreme conditions in coastal engineering are often described in terms of return values and return periods. 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 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 Return Period given Cumulative Probability?

Return Period given Cumulative Probability calculator uses Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability) to calculate the Return Period of Wind, The Return Period given Cumulative Probability formula is defined as a recurrence interval or repeat interval, which is an average time or an estimated average time between events such as earthquakes, floods, landslides, or river discharge flows to occur. Return Period of Wind is denoted by T_r symbol.

How to calculate Return Period given Cumulative Probability using this online calculator? To use this online calculator for Return Period given Cumulative Probability, enter Time Interval associated with each Data Point (t) & Cumulative Probability (PH_s) and hit the calculate button. Here is how the Return Period given Cumulative Probability calculation can be explained with given input values -> 50 = 30/(1-0.4).

FAQ

What is Return Period given Cumulative Probability?

The Return Period given Cumulative Probability formula is defined as a recurrence interval or repeat interval, which is an average time or an estimated average time between events such as earthquakes, floods, landslides, or river discharge flows to occur and is represented as T_r = t/(1-PH_s) or Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability). Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid & Cumulative Probability refers to the likelihood that the value of a random variable is within a given range lesser than or equal to design significant wave height.

How to calculate Return Period given Cumulative Probability?

The Return Period given Cumulative Probability formula is defined as a recurrence interval or repeat interval, which is an average time or an estimated average time between events such as earthquakes, floods, landslides, or river discharge flows to occur is calculated using Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability). To calculate Return Period given Cumulative Probability, you need Time Interval associated with each Data Point (t) & Cumulative Probability (PH_s). With our tool, you need to enter the respective value for Time Interval associated with each Data Point & Cumulative Probability 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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