Constant Angular Velocity given Equation of Free Surface of Liquid Calculator

✖Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.ⓘ Height of Crack [h]			+10% -10%
✖Distance from center to point refers to the length of line segment measured from the center of a body to a particular point.ⓘ Distance from Center to Point [d']			+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.ⓘ Constant Angular Velocity given Equation of Free Surface of Liquid [ω]

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Constant Angular Velocity given Equation of Free Surface of Liquid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2))
ω = sqrt(h*(2*[g])/(d'^2))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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.
Height of Crack - (Measured in Meter) - Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Distance from Center to Point - (Measured in Meter) - Distance from center to point refers to the length of line segment measured from the center of a body to a particular point.

STEP 1: Convert Input(s) to Base Unit

Height of Crack: 20000 Millimeter --> 20 Meter (Check conversion here)
Distance from Center to Point: 10000 Millimeter --> 10 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt(h*(2*[g])/(d'^2)) --> sqrt(20*(2*[g])/(10^2))

Evaluating ... ...

ω = 1.98057062484527

STEP 3: Convert Result to Output's Unit

1.98057062484527 Radian per Second --> No Conversion Required

FINAL ANSWER

1.98057062484527 ≈ 1.980571 Radian per Second <-- Angular Velocity

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical Calculators

Atmospheric Pressure given Pressure at any Point with Origin at Free Surface

LaTeX Go Atmospheric Pressure = Absolute Pressure-((Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)+Angular Velocity*Height of Crack)

Vertical Depth given Pressure at any point with Origin at Free Surface

LaTeX Go Height of Crack = (Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity

Constant Angular Velocity given Equation of Free Surface of Liquid

LaTeX Go Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2))

Equation of Free Surface of liquid

LaTeX Go Height of Crack = ((Angular Velocity*Distance from Center to Point)^2)/(2*[g])

Constant Angular Velocity given Equation of Free Surface of Liquid Formula

LaTeX Go

Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2))
ω = sqrt(h*(2*[g])/(d'^2))

What is Free Surface?

A Free surface is the surface of a fluid that is subject to zero parallel shear stress, such as the interface between two homogeneous fluids, for example liquid water and the air in the Earth's atmosphere.

How to Calculate Constant Angular Velocity given Equation of Free Surface of Liquid?

Constant Angular Velocity given Equation of Free Surface of Liquid calculator uses Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2)) to calculate the Angular Velocity, The Constant Angular Velocity given Equation of Free Surface of Liquid formula is defined as velocity with which fluid is rotating. Angular Velocity is denoted by ω symbol.

How to calculate Constant Angular Velocity given Equation of Free Surface of Liquid using this online calculator? To use this online calculator for Constant Angular Velocity given Equation of Free Surface of Liquid, enter Height of Crack (h) & Distance from Center to Point (d') and hit the calculate button. Here is how the Constant Angular Velocity given Equation of Free Surface of Liquid calculation can be explained with given input values -> 1.534143 = sqrt(20*(2*[g])/(10^2)).

FAQ

What is Constant Angular Velocity given Equation of Free Surface of Liquid?

The Constant Angular Velocity given Equation of Free Surface of Liquid formula is defined as velocity with which fluid is rotating and is represented as ω = sqrt(h*(2*[g])/(d'^2)) or Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2)). Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress & Distance from center to point refers to the length of line segment measured from the center of a body to a particular point.

How to calculate Constant Angular Velocity given Equation of Free Surface of Liquid?

The Constant Angular Velocity given Equation of Free Surface of Liquid formula is defined as velocity with which fluid is rotating is calculated using Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2)). To calculate Constant Angular Velocity given Equation of Free Surface of Liquid, you need Height of Crack (h) & Distance from Center to Point (d'). With our tool, you need to enter the respective value for Height of Crack & Distance from Center to Point 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 Angular Velocity?

In this formula, Angular Velocity uses Height of Crack & Distance from Center to Point. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis)

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