Cumulative Probability of Design Significant Wave Height given Return Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1)
PHs = -((t/Tr)-1)
This formula uses 3 Variables
Variables Used
Cumulative Probability - Cumulative Probability lesser than or equal to design significant wave height.
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.
STEP 1: Convert Input(s) to Base Unit
Time Interval associated with each data point: 30 --> No Conversion Required
Return Period of Wind: 50 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PHs = -((t/Tr)-1) --> -((30/50)-1)
Evaluating ... ...
PHs = 0.4
STEP 3: Convert Result to Output's Unit
0.4 --> No Conversion Required
FINAL ANSWER
0.4 <-- Cumulative Probability
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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)

Cumulative Probability of Design Significant Wave Height given Return Period Formula

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

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 Cumulative Probability of Design Significant Wave Height given Return Period?

Cumulative Probability of Design Significant Wave Height given Return Period calculator uses Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1) to calculate the Cumulative Probability, The Cumulative Probability of Design Significant Wave Height given Return Period formula is defined as the reference to the probability that the value of a random variable falls within a specified range that significant wave height is lesser than or equal to design significant wave height. Cumulative Probability is denoted by PHs symbol.

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

FAQ

What is Cumulative Probability of Design Significant Wave Height given Return Period?
The Cumulative Probability of Design Significant Wave Height given Return Period formula is defined as the reference to the probability that the value of a random variable falls within a specified range that significant wave height is lesser than or equal to design significant wave height and is represented as PHs = -((t/Tr)-1) or Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1). Time Interval associated with each data point, in years & Return Period of wind is an average time or an estimated average time between events such as winds.
How to calculate Cumulative Probability of Design Significant Wave Height given Return Period?
The Cumulative Probability of Design Significant Wave Height given Return Period formula is defined as the reference to the probability that the value of a random variable falls within a specified range that significant wave height is lesser than or equal to design significant wave height is calculated using Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1). To calculate Cumulative Probability of Design Significant Wave Height given Return Period, you need Time Interval associated with each data point (t) & Return Period of Wind (Tr). With our tool, you need to enter the respective value for Time Interval associated with each data point & 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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