Angular Velocity of Vortex using Depth of Parabola Calculator

✖The Depth of Parabola is considered for the free surface formed at the water.ⓘ Depth of Parabola [Z]			+10% -10%
✖Radius is a radial line from the focus to any point of a curve for 1st Radius.ⓘ Radius [r₁]			+10% -10%

✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity of Vortex using Depth of Parabola [ω]

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Formula

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Angular Velocity of Vortex using Depth of Parabola

Formula

ω = \sqrt{\frac{Z \cdot 2 \cdot 9.81}{{r 1}^{2}}}

Example

1.999835 rad/s = \sqrt{\frac{3185 cm \cdot 2 \cdot 9.81}{{1250 cm}^{2}}}

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Angular Velocity of Vortex using Depth of Parabola Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))
ω = sqrt((Z*2*9.81)/(r₁^2))
This formula uses 1 Functions, 3 Variables

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

Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Depth of Parabola - (Measured in Meter) - The Depth of Parabola is considered for the free surface formed at the water.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve for 1st Radius.

STEP 1: Convert Input(s) to Base Unit

Depth of Parabola: 3185 Centimeter --> 31.85 Meter (Check conversion here)
Radius: 1250 Centimeter --> 12.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt((Z*2*9.81)/(r₁^2)) --> sqrt((31.85*2*9.81)/(12.5^2))

Evaluating ... ...

ω = 1.99983519320968

STEP 3: Convert Result to Output's Unit

1.99983519320968 Radian per Second --> No Conversion Required

FINAL ANSWER

1.99983519320968 ≈ 1.999835 Radian per Second <-- Angular Velocity

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Kinematics of Flow Calculators

Resultant velocity for two velocity components

Go Resultant Velocity = sqrt((Velocity Component at U^2)+(Velocity Component at V^2))

Angular Velocity of Vortex using Depth of Parabola

Go Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))

Depth of Parabola formed at Free Surface of Water

Go Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81)

Rate of flow or discharge

Go Rate of Flow = Cross-Sectional Area*Average Velocity

Angular Velocity of Vortex using Depth of Parabola Formula

Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))
ω = sqrt((Z*2*9.81)/(r₁^2))

What is vortex flow?

It is defined as the flow of fluid along the curved path or the flow of a rotating mass of fluid. It is of two types, forced and free vortex flow.

How to maintain a forced vortex flow?

To maintain a forced vortex flow, it required a continuous supply of energy or external torque. All fluid particles rotate at the constant angular velocity ω as a solid body. Therefore, a flow of forced vortex is called a solid body rotation.

How to Calculate Angular Velocity of Vortex using Depth of Parabola?

Angular Velocity of Vortex using Depth of Parabola calculator uses Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2)) to calculate the Angular Velocity, The Angular Velocity of Vortex using Depth of Parabola is defined from the equation of forced vortex flow considering the depth of parabola formed at the free surface of water and tank radius. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity of Vortex using Depth of Parabola using this online calculator? To use this online calculator for Angular Velocity of Vortex using Depth of Parabola, enter Depth of Parabola (Z) & Radius (r₁) and hit the calculate button. Here is how the Angular Velocity of Vortex using Depth of Parabola calculation can be explained with given input values -> 1.372414 = sqrt((31.85*2*9.81)/(12.5^2)).

FAQ

What is Angular Velocity of Vortex using Depth of Parabola?

The Angular Velocity of Vortex using Depth of Parabola is defined from the equation of forced vortex flow considering the depth of parabola formed at the free surface of water and tank radius and is represented as ω = sqrt((Z*2*9.81)/(r₁^2)) or Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2)). The Depth of Parabola is considered for the free surface formed at the water & Radius is a radial line from the focus to any point of a curve for 1st Radius.

How to calculate Angular Velocity of Vortex using Depth of Parabola?

The Angular Velocity of Vortex using Depth of Parabola is defined from the equation of forced vortex flow considering the depth of parabola formed at the free surface of water and tank radius is calculated using Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2)). To calculate Angular Velocity of Vortex using Depth of Parabola, you need Depth of Parabola (Z) & Radius (r₁). With our tool, you need to enter the respective value for Depth of Parabola & Radius 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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