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Mean Zero-upcrossing Period Formula

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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. Check FAQs

T' Z = 2 \cdot π \cdot \sqrt{\frac{m 0}{m 2}}

T'_Z - Mean Zero-upcrossing Period?m₀ - Zero-th Moment of Wave Spectrum?m₂ - Moment of Wave Spectrum 2?π - Archimedes' constant?

Mean Zero-upcrossing Period Example

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Here is how the Mean Zero-upcrossing Period equation looks like with Values.

Here is how the Mean Zero-upcrossing Period equation looks like with Units.

Here is how the Mean Zero-upcrossing Period equation looks like.

86.4448 = 2 \cdot 3.1416 \cdot \sqrt{\frac{265}{1.4}}

86.4448s = 2 \cdot 3.1416 \cdot \sqrt{\frac{265}{1.4}}

86.4448 = 2 \cdot 3.1416 \cdot \sqrt{\frac{265}{1.4}}

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Mean Zero-upcrossing Period Solution

Follow our step by step solution on how to calculate Mean Zero-upcrossing Period?

FIRST Step Consider the formula

T' Z = 2 \cdot π \cdot \sqrt{\frac{m 0}{m 2}}

Next Step Substitute values of Variables

∴

T' Z = 2 \cdot π \cdot \sqrt{\frac{265}{1.4}}

Next Step Substitute values of Constants

∴

T' Z = 2 \cdot 3.1416 \cdot \sqrt{\frac{265}{1.4}}

Next Step Prepare to Evaluate

∴

T' Z = 2 \cdot 3.1416 \cdot \sqrt{\frac{265}{1.4}}

Next Step Evaluate

∴

T' Z = 86.4447828102455s

LAST Step Rounding Answer

∴

T' Z = 86.4448s

Mean Zero-upcrossing Period Formula Elements

Variables

Constants

Functions

Mean Zero-upcrossing Period

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.

Symbol: T'_Z

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Mean Zero-upcrossing Period

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.

Symbol: m₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Zero-th Moment of Wave Spectrum

Moment of Wave Spectrum 2

Moment of Wave Spectrum 2 in terms of cyclic frequency are used to characterize its shape and intensity.

Symbol: m₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Moment of Wave Spectrum 2

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Wave Period Distribution and Wave Spectrum category

Go Probability Density of Wave Period

p = 2.7 \cdot (\frac{P^{3}}{T'}) \cdot \exp (- 0.675 \cdot {(\frac{P}{T'})}^{4})

Go Mean Crest Period

T c = 2 \cdot π \cdot (\frac{m 2}{m 4})

Go Most Probable Maximum Wave Period

T max = 2 \cdot \frac{\sqrt{1 + v^{2}}}{1} + \sqrt{1 + (16 \cdot \frac{v^{2}}{π} \cdot H^{2})}

Go Wave Component Amplitude

a = \sqrt{0.5 \cdot \sqrt{{a n}^{2} + {b n}^{2}}}

How to Evaluate Mean Zero-upcrossing Period?

Mean Zero-upcrossing Period evaluator uses Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2) to evaluate 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 evaluate Mean Zero-upcrossing Period using this online evaluator? To use this online evaluator for Mean Zero-upcrossing Period, enter Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 2 (m₂) and hit the calculate button.

FAQs on Mean Zero-upcrossing Period

What is the formula to find Mean Zero-upcrossing Period?

The formula of Mean Zero-upcrossing Period is expressed as Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2). Here is an example- 86.44478 = 2*pi*sqrt(265/1.4).

How to calculate Mean Zero-upcrossing Period?

With Zero-th Moment of Wave Spectrum (m₀) & Moment of Wave Spectrum 2 (m₂) we can find Mean Zero-upcrossing Period using the formula - Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Mean Zero-upcrossing Period be negative?

Yes, the Mean Zero-upcrossing Period, measured in Time can be negative.

Which unit is used to measure Mean Zero-upcrossing Period?

Mean Zero-upcrossing Period is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Mean Zero-upcrossing Period can be measured.

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Mean Zero-upcrossing Period Formula

Mean Zero-upcrossing Period Example

Mean Zero-upcrossing Period Solution

Mean Zero-upcrossing Period Formula Elements

Other formulas in Wave Period Distribution and Wave Spectrum category

How to Evaluate Mean Zero-upcrossing Period?

FAQs on Mean Zero-upcrossing Period

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