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

✖Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.ⓘ Atmospheric Pressure [P_atm]			+10% -10%
✖Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).ⓘ Absolute Pressure [P_Abs]			+10% -10%
✖The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.ⓘ Specific Weight of Liquid [y]			+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 [ω]			+10% -10%
✖Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Central Axis [d_r]			+10% -10%

✖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.ⓘ Vertical Depth given Pressure at any point with Origin at Free Surface [h]

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

STEP 0: Pre-Calculation Summary

Formula Used

Height of Crack = (Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity
h = (P_atm-P_Abs+(y/[g])*(0.5*(ω*d_r)^2))/ω
This formula uses 1 Constants, 6 Variables

Constants Used

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

Variables Used

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.
Atmospheric Pressure - (Measured in Pascal) - Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.
Absolute Pressure - (Measured in Pascal) - Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.
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.
Radial Distance from Central Axis - (Measured in Meter) - Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.

STEP 1: Convert Input(s) to Base Unit

Atmospheric Pressure: 101325 Pascal --> 101325 Pascal No Conversion Required
Absolute Pressure: 100000 Pascal --> 100000 Pascal No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Radial Distance from Central Axis: 0.5 Meter --> 0.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (P_atm-P_Abs+(y/[g])*(0.5*(ω*d_r)^2))/ω --> (101325-100000+(9810/[g])*(0.5*(2*0.5)^2))/2

Evaluating ... ...

h = 912.585401232837

STEP 3: Convert Result to Output's Unit

912.585401232837 Meter -->912585.401232837 Millimeter (Check conversion here)

FINAL ANSWER

912585.401232837 ≈ 912585.4 Millimeter <-- Height of Crack

(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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National Institute of Technology (NIT), Warangal

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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])

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

LaTeX Go

What is Atmospheric Pressure?

That pressure is called atmospheric pressure, or air pressure. It is the force exerted on a surface by the air above it as gravity pulls it to Earth. Atmospheric pressure is commonly measured with a barometer. Atmospheric pressure drops as altitude increases.

How to Calculate Vertical Depth given Pressure at any point with Origin at Free Surface?

Vertical Depth given Pressure at any point with Origin at Free Surface calculator uses Height of Crack = (Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity to calculate the Height of Crack, The Vertical depth given pressure at any point with origin at free surface formula is defined as the depth or rise of fluid at a distance x from origin or axis of rotation. Height of Crack is denoted by h symbol.

How to calculate Vertical Depth given Pressure at any point with Origin at Free Surface using this online calculator? To use this online calculator for Vertical Depth given Pressure at any point with Origin at Free Surface, enter Atmospheric Pressure (P_atm), Absolute Pressure (P_Abs), Specific Weight of Liquid (y), Angular Velocity (ω) & Radial Distance from Central Axis (d_r) and hit the calculate button. Here is how the Vertical Depth given Pressure at any point with Origin at Free Surface calculation can be explained with given input values -> 9.1E+8 = (101325-100000+(9810/[g])*(0.5*(2*0.5)^2))/2.

FAQ

What is Vertical Depth given Pressure at any point with Origin at Free Surface?

The Vertical depth given pressure at any point with origin at free surface formula is defined as the depth or rise of fluid at a distance x from origin or axis of rotation and is represented as h = (P_atm-P_Abs+(y/[g])*(0.5*(ω*d_r)^2))/ω or Height of Crack = (Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity. Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth, Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure), The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3, 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 & Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Vertical Depth given Pressure at any point with Origin at Free Surface?

The Vertical depth given pressure at any point with origin at free surface formula is defined as the depth or rise of fluid at a distance x from origin or axis of rotation is calculated using Height of Crack = (Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity. To calculate Vertical Depth given Pressure at any point with Origin at Free Surface, you need Atmospheric Pressure (P_atm), Absolute Pressure (P_Abs), Specific Weight of Liquid (y), Angular Velocity (ω) & Radial Distance from Central Axis (d_r). With our tool, you need to enter the respective value for Atmospheric Pressure, Absolute Pressure, Specific Weight of Liquid, Angular Velocity & Radial Distance from Central Axis 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 Height of Crack?

In this formula, Height of Crack uses Atmospheric Pressure, Absolute Pressure, Specific Weight of Liquid, Angular Velocity & Radial Distance from Central Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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