Mean Zero-upcrossing Period Calculator

✖Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.ⓘ Zero-th Moment of Wave Spectrum [m₀]			+10% -10%
✖Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.ⓘ Moment of Wave Spectrum 2 [m₂]			+10% -10%

✖Mean Zero-upcrossing Period is a point where the sign of a mathematical function changes, represented by an intercept of the axis (zero value) in the graph of the function.ⓘ Mean Zero-upcrossing Period [T'_Z]

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Mean Zero-upcrossing Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)
T'_Z = 2*pi*sqrt(m₀/m₂)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Mean Zero-upcrossing Period - (Measured in Second) - Mean Zero-upcrossing Period is a point where the sign of a mathematical function changes, represented by an intercept of the axis (zero value) in the graph of the function.
Zero-th Moment of Wave Spectrum - Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies.
Moment of Wave Spectrum 2 - Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.

STEP 1: Convert Input(s) to Base Unit

Zero-th Moment of Wave Spectrum: 265 --> No Conversion Required
Moment of Wave Spectrum 2: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T'_Z = 2*pi*sqrt(m₀/m₂) --> 2*pi*sqrt(265/1.4)

Evaluating ... ...

T'_Z = 86.4447828102455

STEP 3: Convert Result to Output's Unit

86.4447828102455 Second --> No Conversion Required

FINAL ANSWER

86.4447828102455 ≈ 86.44478 Second <-- Mean Zero-upcrossing Period

(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!

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NSS College of Engineering (NSSCE), Palakkad

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Mean Zero-upcrossing Period

LaTeX Go Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)

Mean Crest Period

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Mean Zero-upcrossing Period Formula

LaTeX Go

Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)
T'_Z = 2*pi*sqrt(m₀/m₂)

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How to Calculate Mean Zero-upcrossing Period?

Mean Zero-upcrossing Period calculator uses Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2) to calculate the Mean Zero-upcrossing Period, The Mean Zero-upcrossing Period formula refers to a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis (zero value) in the graph of the function. Mean Zero-upcrossing Period is denoted by T'_Z symbol.

How to calculate Mean Zero-upcrossing Period using this online calculator? To use this online calculator for Mean Zero-upcrossing Period, enter Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 2 (m₂) and hit the calculate button. Here is how the Mean Zero-upcrossing Period calculation can be explained with given input values -> 86.44478 = 2*pi*sqrt(265/1.4).

FAQ

What is Mean Zero-upcrossing Period?

The Mean Zero-upcrossing Period formula refers to a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis (zero value) in the graph of the function and is represented as T'_Z = 2*pi*sqrt(m₀/m₂) or Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2). Zero-th Moment of Wave Spectrum is a measure of the total energy contained in the wave spectrum. It represents the integral of the wave spectrum over all frequencies & Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.

How to calculate Mean Zero-upcrossing Period?

The Mean Zero-upcrossing Period formula refers to a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis (zero value) in the graph of the function is calculated using Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2). To calculate Mean Zero-upcrossing Period, you need Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 2 (m₂). With our tool, you need to enter the respective value for Zero-th Moment of Wave Spectrum & Moment of Wave Spectrum 2 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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