Time Interval Associated with Each Data Point given Return Period Calculator

✖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%
✖Cumulative Probability lesser than or equal to design significant wave height.ⓘ Cumulative Probability [PH_s]			+10% -10%

✖Time Interval associated with each data point, in years.ⓘ Time Interval Associated with Each Data Point given Return Period [t]

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Formula

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Time Interval Associated with Each Data Point given Return Period

Formula

`"t" = "T"_{"r"}*(1-"PH"_{"s"})`

Example

`"30"="50"*(1-"0.4")`

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Time Interval Associated with Each Data Point given Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Time Interval associated with each data point - Time Interval associated with each data point, in years.
Return Period of Wind - Return Period of wind is an average time or an estimated average time between events such as winds.
Cumulative Probability - Cumulative Probability lesser than or equal to design significant wave height.

STEP 1: Convert Input(s) to Base Unit

Return Period of Wind: 50 --> No Conversion Required
Cumulative Probability: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = T_r*(1-PH_s) --> 50*(1-0.4)

Evaluating ... ...

t = 30

STEP 3: Convert Result to Output's Unit

30 --> No Conversion Required

FINAL ANSWER

30 <-- Time Interval associated with each data point

(Calculation completed in 00.004 seconds)

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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

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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)

Time Interval Associated with Each Data Point given Return Period Formula

Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability)
t = T_r*(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 Time Interval Associated with Each Data Point given Return Period?

Time Interval Associated with Each Data Point given Return Period calculator uses Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability) to calculate the Time Interval associated with each data point, The Time Interval Associated with Each Data Point given Return Period formula is defined as a time parameter influencing the return period and encounter probability. Time Interval associated with each data point is denoted by t symbol.

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

FAQ

What is Time Interval Associated with Each Data Point given Return Period?

The Time Interval Associated with Each Data Point given Return Period formula is defined as a time parameter influencing the return period and encounter probability and is represented as t = T_r*(1-PH_s) or Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability). Return Period of wind is an average time or an estimated average time between events such as winds & Cumulative Probability lesser than or equal to design significant wave height.

How to calculate Time Interval Associated with Each Data Point given Return Period?

The Time Interval Associated with Each Data Point given Return Period formula is defined as a time parameter influencing the return period and encounter probability is calculated using Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability). To calculate Time Interval Associated with Each Data Point given Return Period, you need Return Period of Wind (T_r) & Cumulative Probability (PH_s). With our tool, you need to enter the respective value for Return Period of Wind & 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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