Weighing Factor for Angular Frequency greater than One Calculator

✖Coast Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).ⓘ Coast Wave Angular Frequency [ω^,]

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✖Weighing Factor for Angular Frequency is a weight given to a data point to assign it a lighter, or heavier, importance in a group.ⓘ Weighing Factor for Angular Frequency greater than One [φ^,]

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Formula

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Weighing Factor for Angular Frequency greater than One

Formula

`"φ"^{","} = 1-0.5*(2-"ω"^{","})^2`

Example

`"0.56755"=1-0.5*(2-"2.93rad/s")^2`

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Weighing Factor for Angular Frequency greater than One Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2
φ^, = 1-0.5*(2-ω^,)^2
This formula uses 2 Variables

Variables Used

Weighing Factor for Angular Frequency - Weighing Factor for Angular Frequency is a weight given to a data point to assign it a lighter, or heavier, importance in a group.
Coast Wave Angular Frequency - (Measured in Radian per Second) - Coast Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).

STEP 1: Convert Input(s) to Base Unit

Coast Wave Angular Frequency: 2.93 Radian per Second --> 2.93 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ^, = 1-0.5*(2-ω^,)^2 --> 1-0.5*(2-2.93)^2

Evaluating ... ...

φ^, = 0.56755

STEP 3: Convert Result to Output's Unit

0.56755 --> No Conversion Required

FINAL ANSWER

0.56755 <-- Weighing Factor for Angular Frequency

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 19 Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas

Go Frequency Energy Spectrum = ((Dimensionless Scaling Parameter*[g]^2)/((2*pi)^4*Wave Frequency^5))*(exp(-1.25*(Wave Frequency/Frequency at Spectral Peak)^-4)*Peak Enhancement Factor)^exp(-((Wave Frequency/Frequency at Spectral Peak)-1)^2/(2*Standard Deviation^2))

Frequency of Spectral Peak

Go Frequency at Spectral Peak = ([g]*18.8*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.33)/(2*pi*Wind Speed at Height of 10 m)

Frequency of Spectral Peak Given Wind Speed

Go Frequency at Spectral Peak = ([g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5))/(2*pi*Wind Speed at Height of 10 m)

Wind Speed given Maximum Controlling Parameter for Angular Distribution

Go Wind Speed at Height of 10 m = [g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5)/(2*pi*Frequency at Spectral Peak)

Maximum Controlling Parameter for Angular Distribution

Go Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter

Go Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5

Fetch Length given Scaling Parameter

Go Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]

Scaling Parameter

Go Dimensionless Scaling Parameter = 0.076*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.22

Dimensionless Time

Go Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity

Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components

Go Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)

Significant Wave Height of Higher Frequency Component

Go Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)

Significant Wave Height of Lower Frequency Component

Go Significant Wave Height 1 = sqrt(Significant Wave Height^2-Significant Wave Height 2^2)

Fetch Length given Frequency at Spectral Peak

Go Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

Frequency at Spectral Peak

Go Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33

Shape Factor for Higher Frequency Component

Go Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)

Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

Go Wind Speed = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

Go Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5

Weighing Factor for Angular Frequency greater than One

Go Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2

Weighing Factor for Angular Frequency Lesser than or Equal to One

Go Weighing Factor = 0.5*Wave Angular Frequency^2

Weighing Factor for Angular Frequency greater than One Formula

Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2
φ^, = 1-0.5*(2-ω^,)^2

What are the Characteristics of Progressive Waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Weighing Factor for Angular Frequency greater than One?

Weighing Factor for Angular Frequency greater than One calculator uses Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2 to calculate the Weighing Factor for Angular Frequency, The Weighing Factor for Angular Frequency greater than One is defined as a weight given to a data point to assign it a lighter, or heavier, importance in a group. Weighing Factor for Angular Frequency is denoted by φ^, symbol.

How to calculate Weighing Factor for Angular Frequency greater than One using this online calculator? To use this online calculator for Weighing Factor for Angular Frequency greater than One, enter Coast Wave Angular Frequency (ω^,) and hit the calculate button. Here is how the Weighing Factor for Angular Frequency greater than One calculation can be explained with given input values -> 0.56755 = 1-0.5*(2-2.93)^2.

FAQ

What is Weighing Factor for Angular Frequency greater than One?

The Weighing Factor for Angular Frequency greater than One is defined as a weight given to a data point to assign it a lighter, or heavier, importance in a group and is represented as φ^, = 1-0.5*(2-ω^,)^2 or Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2. Coast Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).

How to calculate Weighing Factor for Angular Frequency greater than One?

The Weighing Factor for Angular Frequency greater than One is defined as a weight given to a data point to assign it a lighter, or heavier, importance in a group is calculated using Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2. To calculate Weighing Factor for Angular Frequency greater than One, you need Coast Wave Angular Frequency (ω^,). With our tool, you need to enter the respective value for Coast Wave Angular Frequency 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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