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Angular Velocity of Vortex using Depth of Parabola Formula

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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. Check FAQs

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

ω - Angular Velocity?Z - Depth of Parabola?r₁ - Radius?

Angular Velocity of Vortex using Depth of Parabola Example

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Here is how the Angular Velocity of Vortex using Depth of Parabola equation looks like with Values.

Here is how the Angular Velocity of Vortex using Depth of Parabola equation looks like with Units.

Here is how the Angular Velocity of Vortex using Depth of Parabola equation looks like.

1.9998 = \sqrt{\frac{3185 \cdot 2 \cdot 9.81}{1250^{2}}}

1.9998rad/s = \sqrt{\frac{3185cm \cdot 2 \cdot 9.81}{{1250cm}^{2}}}

1.9998 = \sqrt{\frac{3185 \cdot 2 \cdot 9.81}{1250^{2}}}

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Angular Velocity of Vortex using Depth of Parabola Solution

Follow our step by step solution on how to calculate Angular Velocity of Vortex using Depth of Parabola?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ω = \sqrt{\frac{3185cm \cdot 2 \cdot 9.81}{{1250cm}^{2}}}

Next Step Convert Units

∴

ω = \sqrt{\frac{31.85m \cdot 2 \cdot 9.81}{{12.5m}^{2}}}

Next Step Prepare to Evaluate

∴

ω = \sqrt{\frac{31.85 \cdot 2 \cdot 9.81}{{12.5}^{2}}}

Next Step Evaluate

∴

ω = 1.99983519320968rad/s

LAST Step Rounding Answer

∴

ω = 1.9998rad/s

Angular Velocity of Vortex using Depth of Parabola Formula Elements

Variables

Functions

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Depth of Parabola

The Depth of Parabola is considered for the free surface formed at the water.

Symbol: Z

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Depth of Parabola

Radius

Radius is a radial line from the focus to any point of a curve for 1st Radius.

Symbol: r₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius

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 Kinematics of Flow category

Go Rate of flow or discharge

Q = A cs \cdot v avg

Go Resultant velocity for two velocity components

V = \sqrt{(u^{2}) + (v^{2})}

Go Depth of Parabola formed at Free Surface of Water

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

Go Height or depth of paraboloid for volume of air

h c = (\frac{D^{2}}{2 \cdot ({r 1}^{2})}) \cdot (L - H i)

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

Angular Velocity of Vortex using Depth of Parabola evaluator uses Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2)) to evaluate 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 evaluate Angular Velocity of Vortex using Depth of Parabola using this online evaluator? To use this online evaluator for Angular Velocity of Vortex using Depth of Parabola, enter Depth of Parabola (Z) & Radius (r₁) and hit the calculate button.

FAQs on Angular Velocity of Vortex using Depth of Parabola

What is the formula to find Angular Velocity of Vortex using Depth of Parabola?

The formula of Angular Velocity of Vortex using Depth of Parabola is expressed as Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2)). Here is an example- 1.372414 = sqrt((31.85*2*9.81)/(12.5^2)).

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

With Depth of Parabola (Z) & Radius (r₁) we can find Angular Velocity of Vortex using Depth of Parabola using the formula - Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2)). This formula also uses Square Root (sqrt) function(s).

Can the Angular Velocity of Vortex using Depth of Parabola be negative?

Yes, the Angular Velocity of Vortex using Depth of Parabola, measured in Angular Velocity can be negative.

Which unit is used to measure Angular Velocity of Vortex using Depth of Parabola?

Angular Velocity of Vortex using Depth of Parabola is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity of Vortex using Depth of Parabola can be measured.

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