Period of Oscillation for Sinusoidal Motion of Fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Period of Oscillations = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation
T = (A*2*pi)/Vfv
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Excursion Amplitude of Fluid Particles - Excursion Amplitude of Fluid Particles in oscillatory flow is defined as a parameter influencing the sediment transport under water waves.
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
Excursion Amplitude of Fluid Particles: 40 --> 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 = (A*2*pi)/Vfv --> (40*2*pi)/4
Evaluating ... ...
T = 62.8318530717959
STEP 3: Convert Result to Output's Unit
62.8318530717959 Second --> No Conversion Required
FINAL ANSWER
62.8318530717959 62.83185 Second <-- Time Period of Oscillations
(Calculation completed in 00.004 seconds)

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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 for Sinusoidal Motion of Fluid Formula

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

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 for Sinusoidal Motion of Fluid?

Period of Oscillation for Sinusoidal Motion of Fluid calculator uses Time Period of Oscillations = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation to calculate the Time Period of Oscillations, The Period of oscillation for sinusoidal motion of fluid 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 for Sinusoidal Motion of Fluid using this online calculator? To use this online calculator for Period of Oscillation for Sinusoidal Motion of Fluid, enter Excursion Amplitude of Fluid Particles (A) & Amplitude of Flow Velocity Oscillation (Vfv) and hit the calculate button. Here is how the Period of Oscillation for Sinusoidal Motion of Fluid calculation can be explained with given input values -> 62.83185 = (40*2*pi)/4.

FAQ

What is Period of Oscillation for Sinusoidal Motion of Fluid?
The Period of oscillation for sinusoidal motion of fluid is a repetitious oscillation influencing the amplitude of the object’s velocity, in case of an oscillating object and is represented as T = (A*2*pi)/Vfv or Time Period of Oscillations = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation. Excursion Amplitude of Fluid Particles in oscillatory flow is defined as a parameter influencing the sediment transport under water waves & 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 for Sinusoidal Motion of Fluid?
The Period of oscillation for sinusoidal motion of fluid 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 = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation. To calculate Period of Oscillation for Sinusoidal Motion of Fluid, you need Excursion Amplitude of Fluid Particles (A) & Amplitude of Flow Velocity Oscillation (Vfv). With our tool, you need to enter the respective value for Excursion Amplitude of Fluid Particles & 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 Excursion Amplitude of Fluid Particles & 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 = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation
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