Zero-Crossing Period Calculator

✖Record Length typically refers to the length of time over which data is collected or analyzed.ⓘ Record Length [T_r]			+10% -10%
✖Number of Zero-Upcrossings can be used to characterize the wave height distribution and provide insights into the energy spectrum of the waves.ⓘ Number of Zero-Upcrossings [N_Z]			+10% -10%

✖Zero-Crossing Period is the time of a point where the sign of a mathematical function changes.ⓘ Zero-Crossing Period [T_Z]

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Formula

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Zero-Crossing Period

Formula

`"T"_{"Z"} = "T"_{"r"}/"N"_{"Z"}`

Example

`"7s"="70s"/"10"`

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Zero-Crossing Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Zero-Crossing Period = Record Length/Number of Zero-Upcrossings
T_Z = T_r/N_Z
This formula uses 3 Variables

Variables Used

Zero-Crossing Period - (Measured in Second) - Zero-Crossing Period is the time of a point where the sign of a mathematical function changes.
Record Length - (Measured in Second) - Record Length typically refers to the length of time over which data is collected or analyzed.
Number of Zero-Upcrossings - Number of Zero-Upcrossings can be used to characterize the wave height distribution and provide insights into the energy spectrum of the waves.

STEP 1: Convert Input(s) to Base Unit

Record Length: 70 Second --> 70 Second No Conversion Required
Number of Zero-Upcrossings: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_Z = T_r/N_Z --> 70/10

Evaluating ... ...

T_Z = 7

STEP 3: Convert Result to Output's Unit

7 Second --> No Conversion Required

FINAL ANSWER

7 Second <-- Zero-Crossing Period

(Calculation completed in 00.020 seconds)

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Credits

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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< 12 Zero-Crossing Method Calculators

Probability that Wave Height is Lesser than or Equal to Design Wave Height

Go Probability = 1-(Number of Waves Higher than Design Wave Height/Wave Number)

Probability that Wave Height is Greater than or Equal to Design Wave Height

Go Probability = Number of Waves Higher than Design Wave Height/Wave Number

Significant Wave Height given Zero-th Moment

Go Significant Wave Height = 4*sqrt(Zero-th Moment of Wave Spectrum)

Number of Zero Up-Crossings given Zero-Crossing Period

Go Number of Zero-Upcrossings = Record Length/Zero-Crossing Period

Record Length given Zero-Crossing Period

Go Record Length = Zero-Crossing Period*Number of Zero-Upcrossings

Zero-Crossing Period

Go Zero-Crossing Period = Record Length/Number of Zero-Upcrossings

Number of Crests in Wave Record given Wave Crest Period

Go Number of Crests = Record Length/Wave Crest Period

Record Length given Wave Crest Period

Go Record Length = Wave Crest Period*Number of Crests

Wave Crest Period

Go Wave Crest Period = Record Length/Number of Crests

Zero-th Moment given Significant Wave Height

Go Zero-th Moment of Wave Spectrum = (Significant Wave Height/4)^2

Root Mean Square Surface Elevation given Significant Wave Height

Go RMS Surface Elevation = Significant Wave Height/4

Significant Wave Height given rms Surface Elevation

Go Significant Wave Height = 4*RMS Surface Elevation

Zero-Crossing Period Formula

Zero-Crossing Period = Record Length/Number of Zero-Upcrossings
T_Z = T_r/N_Z

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 Zero-Crossing Period?

Zero-Crossing Period calculator uses Zero-Crossing Period = Record Length/Number of Zero-Upcrossings to calculate the Zero-Crossing Period, The Zero-Crossing Period formula is defined as the 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. Zero-Crossing Period is denoted by T_Z symbol.

How to calculate Zero-Crossing Period using this online calculator? To use this online calculator for Zero-Crossing Period, enter Record Length (T_r) & Number of Zero-Upcrossings (N_Z) and hit the calculate button. Here is how the Zero-Crossing Period calculation can be explained with given input values -> 7 = 70/10.

FAQ

What is Zero-Crossing Period?

The Zero-Crossing Period formula is defined as the 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 = T_r/N_Z or Zero-Crossing Period = Record Length/Number of Zero-Upcrossings. Record Length typically refers to the length of time over which data is collected or analyzed & Number of Zero-Upcrossings can be used to characterize the wave height distribution and provide insights into the energy spectrum of the waves.

How to calculate Zero-Crossing Period?

The Zero-Crossing Period formula is defined as the 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 Zero-Crossing Period = Record Length/Number of Zero-Upcrossings. To calculate Zero-Crossing Period, you need Record Length (T_r) & Number of Zero-Upcrossings (N_Z). With our tool, you need to enter the respective value for Record Length & Number of Zero-Upcrossings 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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