Weighing Factor for Angular Frequency greater than One Solution

STEP 0: Pre-Calculation Summary
Formula Used
Weighing Factor = 1-0.5*(2-Wave Angular Frequency)^2
φ = 1-0.5*(2-ω)^2
This formula uses 2 Variables
Variables Used
Weighing Factor - Weighing Factor is a weight given to a data point to assign it a lighter, or heavier, importance in a group.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
STEP 1: Convert Input(s) to Base Unit
Wave Angular Frequency: 6.2 Radian per Second --> 6.2 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*(2-6.2)^2
Evaluating ... ...
φ = -7.82
STEP 3: Convert Result to Output's Unit
-7.82 --> No Conversion Required
FINAL ANSWER
-7.82 <-- Weighing Factor
(Calculation completed in 00.020 seconds)

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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)
Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak
Go Wind Speed at Height of 10 m = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)
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)
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 = 1-0.5*(2-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 = 1-0.5*(2-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 = 1-0.5*(2-Wave Angular Frequency)^2 to calculate the Weighing Factor, The Weighing Factor for angular frequency greater than one is a weight given to a data point to assign it a lighter, or heavier, importance in a group. Weighing Factor 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 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 -> -7.82 = 1-0.5*(2-6.2)^2.

FAQ

What is Weighing Factor for Angular Frequency greater than One?
The Weighing Factor for angular frequency greater than one is 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 = 1-0.5*(2-Wave Angular Frequency)^2. Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
How to calculate Weighing Factor for Angular Frequency greater than One?
The Weighing Factor for angular frequency greater than one is a weight given to a data point to assign it a lighter, or heavier, importance in a group is calculated using Weighing Factor = 1-0.5*(2-Wave Angular Frequency)^2. To calculate Weighing Factor for Angular Frequency greater than One, you need Wave Angular Frequency (ω). With our tool, you need to enter the respective value for Wave Angular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Weighing Factor?
In this formula, Weighing Factor uses Wave Angular Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Weighing Factor = 0.5*Wave Angular Frequency^2
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