Period of Oscillation Calculator

✖Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.ⓘ Keulegan-Carpenter Number [K_C]			+10% -10%
✖Length Scale for a typical coastal engineering flow situation.ⓘ Length Scale [L]			+10% -10%
✖Amplitude of Flow Velocity Oscillation or the amplitude of the object’s velocity, in case of an oscillating object.ⓘ Amplitude of Flow Velocity Oscillation [V_fv]			+10% -10%

✖The Time Period of Oscillations is the time taken by a complete cycle of the wave to pass a point.ⓘ Period of Oscillation [T]

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Formula

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Period of Oscillation

Formula

`"T" = ("K"_{"C"}*"L")/"V"_{"fv"}`

Example

`"60s"=("8"*"30m")/"4m/s"`

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Download Calculation of Forces on Ocean Structures Formulas PDF

Period of Oscillation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation
T = (K_C*L)/V_fv
This formula uses 4 Variables

Variables Used

Time Period of Oscillations - (Measured in Second) - The Time Period of Oscillations is the time taken by a complete cycle of the wave to pass a point.
Keulegan-Carpenter Number - Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.
Length Scale - (Measured in Meter) - Length Scale for a typical coastal engineering flow situation.
Amplitude of Flow Velocity Oscillation - (Measured in Meter per Second) - Amplitude of Flow Velocity Oscillation or the amplitude of the object’s velocity, in case of an oscillating object.

STEP 1: Convert Input(s) to Base Unit

Keulegan-Carpenter Number: 8 --> No Conversion Required
Length Scale: 30 Meter --> 30 Meter No Conversion Required
Amplitude of Flow Velocity Oscillation: 4 Meter per Second --> 4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (K_C*L)/V_fv --> (8*30)/4

Evaluating ... ...

T = 60

STEP 3: Convert Result to Output's Unit

60 Second --> No Conversion Required

FINAL ANSWER

60 Second <-- Time Period of Oscillations

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 11 The Keulegan-Carpenter Number Calculators

Amplitude of Flow Velocity Oscillation for Sinusoidal Motion of Fluid

Go Amplitude of Flow Velocity Oscillation = (Excursion Amplitude of Fluid Particles*2*pi)/Time Period of Oscillations

Period of Oscillation for Sinusoidal Motion of Fluid

Go Time Period of Oscillations = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation

Amplitude of Flow Velocity Oscillation

Go Amplitude of Flow Velocity Oscillation = (Keulegan-Carpenter Number*Length Scale)/Time Period of Oscillations

Characteristic Length Scale of Object

Go Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number

Keulegan-Carpenter Number

Go Keulegan-Carpenter Number = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Length Scale

Period of Oscillation

Go Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation

Excursion Amplitude of Fluid Particles in Oscillatory Flow given Displacement Parameter

Go Excursion Amplitude of Fluid Particles = Displacement Parameter*Length Scale

Characteristic Length Scale of Object given Displacement Parameter

Go Length Scale = Excursion Amplitude of Fluid Particles/Displacement Parameter

Displacement Parameter for Sediment Transport under Water Waves

Go Displacement Parameter = Excursion Amplitude of Fluid Particles/Length Scale

Displacement Parameter for Sediment Transport for Sinusoidal Motion of Fluid

Go Displacement Parameter = Keulegan-Carpenter Number/(2*pi)

Keulegan-Carpenter Number for Sinusoidal Motion of Fluid

Go Keulegan-Carpenter Number = 2*pi*Displacement Parameter

Period of Oscillation Formula

Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation
T = (K_C*L)/V_fv

What is Keulegan–Carpenter number?

In fluid dynamics, the Keulegan–Carpenter number, also called the period number, is a dimensionless quantity describing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow. Or similarly, for objects that oscillate in a fluid at rest.

What is The Morison (MOJS) equation?

In fluid dynamics, the "Morison equation" is a semi-empirical equation for the inline force on a body in oscillatory flow. It is sometimes called the "MOJS equation" after all four authors – Morison, O’Brien, Johnson and Schaaf –of the 1950 paper in which the equation was introduced.

How to Calculate Period of Oscillation?

Period of Oscillation calculator uses Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation to calculate the Time Period of Oscillations, The Period of oscillation is a repetitious oscillation influencing the amplitude of the object’s velocity, in case of an oscillating object. Time Period of Oscillations is denoted by T symbol.

How to calculate Period of Oscillation using this online calculator? To use this online calculator for Period of Oscillation, enter Keulegan-Carpenter Number (K_C), Length Scale (L) & Amplitude of Flow Velocity Oscillation (V_fv) and hit the calculate button. Here is how the Period of Oscillation calculation can be explained with given input values -> 60 = (8*30)/4.

FAQ

What is Period of Oscillation?

The Period of oscillation is a repetitious oscillation influencing the amplitude of the object’s velocity, in case of an oscillating object and is represented as T = (K_C*L)/V_fv or Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation. Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces, Length Scale for a typical coastal engineering flow situation & Amplitude of Flow Velocity Oscillation or the amplitude of the object’s velocity, in case of an oscillating object.

How to calculate Period of Oscillation?

The Period of oscillation is a repetitious oscillation influencing the amplitude of the object’s velocity, in case of an oscillating object is calculated using Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation. To calculate Period of Oscillation, you need Keulegan-Carpenter Number (K_C), Length Scale (L) & Amplitude of Flow Velocity Oscillation (V_fv). With our tool, you need to enter the respective value for Keulegan-Carpenter Number, Length Scale & Amplitude of Flow Velocity Oscillation 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 Time Period of Oscillations?

In this formula, Time Period of Oscillations uses Keulegan-Carpenter Number, Length Scale & Amplitude of Flow Velocity Oscillation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Time Period of Oscillations = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation

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