Depth of Parabola formed at Free Surface of Water Calculator

✖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 [ω]			+10% -10%
✖Radius is a radial line from the focus to any point of a curve for 1st Radius.ⓘ Radius [r₁]			+10% -10%

✖The Depth of Parabola is considered for the free surface formed at the water.ⓘ Depth of Parabola formed at Free Surface of Water [Z]

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Formula

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Depth of Parabola formed at Free Surface of Water

Formula

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

Example

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

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Depth of Parabola formed at Free Surface of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Depth of Parabola - (Measured in Meter) - The Depth of Parabola is considered for the free surface formed at the water.
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.
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

Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Radius: 1250 Centimeter --> 12.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

Z = 31.855249745158

STEP 3: Convert Result to Output's Unit

31.855249745158 Meter -->3185.5249745158 Centimeter (Check conversion here)

FINAL ANSWER

3185.5249745158 ≈ 3185.525 Centimeter <-- Depth of Parabola

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Forces and Dynamics » Dynamics of Fluid Flow » Mechanical » Kinematics of Flow » Depth of Parabola formed at Free Surface of Water

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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

Depth of Parabola formed at Free Surface of Water Formula

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

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 Depth of Parabola formed at Free Surface of Water?

Depth of Parabola formed at Free Surface of Water calculator uses Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81) to calculate 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 calculate Depth of Parabola formed at Free Surface of Water using this online calculator? To use this online calculator for Depth of Parabola formed at Free Surface of Water, enter Angular Velocity (ω) & Radius (r₁) and hit the calculate button. Here is how the Depth of Parabola formed at Free Surface of Water calculation can be explained with given input values -> 318552.5 = ((2^2)*(12.5^2))/(2*9.81).

FAQ

What is Depth of Parabola formed at Free Surface of Water?

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 and is represented as Z = ((ω^2)*(r₁^2))/(2*9.81) or Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81). 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 & Radius is a radial line from the focus to any point of a curve for 1st Radius.

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

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 is calculated using Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81). To calculate Depth of Parabola formed at Free Surface of Water, you need Angular Velocity (ω) & Radius (r₁). With our tool, you need to enter the respective value for Angular Velocity & 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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