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Depth of Parabola formed at Free Surface of Water Formula

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

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

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

Depth of Parabola formed at Free Surface of Water Example

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Here is how the Depth of Parabola formed at Free Surface of Water equation looks like with Values.

Here is how the Depth of Parabola formed at Free Surface of Water equation looks like with Units.

Here is how the Depth of Parabola formed at Free Surface of Water equation looks like.

3185.525 = \frac{(2^{2}) \cdot (1250^{2})}{2 \cdot 9.81}

3185.525cm = \frac{({2rad/s}^{2}) \cdot ({1250cm}^{2})}{2 \cdot 9.81}

3185.525 = \frac{(2^{2}) \cdot (1250^{2})}{2 \cdot 9.81}

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Depth of Parabola formed at Free Surface of Water Solution

Follow our step by step solution on how to calculate Depth of Parabola formed at Free Surface of Water?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z = \frac{({2rad/s}^{2}) \cdot ({1250cm}^{2})}{2 \cdot 9.81}

Next Step Convert Units

∴

Z = \frac{({2rad/s}^{2}) \cdot ({12.5m}^{2})}{2 \cdot 9.81}

Next Step Prepare to Evaluate

∴

Z = \frac{(2^{2}) \cdot ({12.5}^{2})}{2 \cdot 9.81}

Next Step Evaluate

∴

Z = 31.855249745158m

Next Step Convert to Output's Unit

∴

Z = 3185.5249745158cm

LAST Step Rounding Answer

∴

Z = 3185.525cm

Depth of Parabola formed at Free Surface of Water Formula Elements

Variables

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

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

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

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 Angular Velocity of Vortex using Depth of Parabola

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

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 Depth of Parabola formed at Free Surface of Water?

Depth of Parabola formed at Free Surface of Water evaluator uses Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81) to evaluate the Depth of Parabola, The Depth of Parabola formed at Free Surface of Water is defined from the equation of forced vortex flow considering the angular velocity and tank radius. Depth of Parabola is denoted by Z symbol.

How to evaluate Depth of Parabola formed at Free Surface of Water using this online evaluator? To use this online evaluator for Depth of Parabola formed at Free Surface of Water, enter Angular Velocity (ω) & Radius (r₁) and hit the calculate button.

FAQs on Depth of Parabola formed at Free Surface of Water

What is the formula to find Depth of Parabola formed at Free Surface of Water?

The formula of Depth of Parabola formed at Free Surface of Water is expressed as Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81). Here is an example- 318552.5 = ((2^2)*(12.5^2))/(2*9.81).

How to calculate Depth of Parabola formed at Free Surface of Water?

With Angular Velocity (ω) & Radius (r₁) we can find Depth of Parabola formed at Free Surface of Water using the formula - Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81).

Can the Depth of Parabola formed at Free Surface of Water be negative?

Yes, the Depth of Parabola formed at Free Surface of Water, measured in Length can be negative.

Which unit is used to measure Depth of Parabola formed at Free Surface of Water?

Depth of Parabola formed at Free Surface of Water is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Depth of Parabola formed at Free Surface of Water can be measured.

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