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)
Tr = t/(1-PHs)
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, in years.
Cumulative Probability - Cumulative Probability 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
Tr = t/(1-PHs) --> 30/(1-0.4)
Evaluating ... ...
Tr = 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)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

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)

Return Period given Cumulative Probability Formula

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

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 Tr 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 (PHs) 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 Tr = t/(1-PHs) or Return Period of Wind = Time Interval associated with each data point/(1-Cumulative Probability). Time Interval associated with each data point, in years & Cumulative Probability 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 (PHs). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!