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%
✖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.ⓘ Height of Crack [h]			+10% -10%

✖Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).ⓘ Pressure at any Point with Origin at Free Surface [P_Abs]

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Pressure at any Point with Origin at Free Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

Absolute Pressure - (Measured in Pascal) - Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).
Atmospheric Pressure - (Measured in Pascal) - Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Atmospheric Pressure: 101325 Pascal --> 101325 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
Height of Crack: 20000 Millimeter --> 20 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Abs = P_atm+(y/[g])*(0.5*(ω*d_r)^2)-ω*h --> 101325+(9810/[g])*(0.5*(2*0.5)^2)-2*20

Evaluating ... ...

P_Abs = 101785.170802466

STEP 3: Convert Result to Output's Unit

101785.170802466 Pascal --> No Conversion Required

FINAL ANSWER

101785.170802466 ≈ 101785.2 Pascal <-- Absolute Pressure

(Calculation completed in 00.059 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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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])

Pressure at any Point with Origin at Free Surface Formula

LaTeX Go

What is Pressure?

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure is the pressure relative to the ambient pressure. Various units are used to express pressure.

How to Calculate Pressure at any Point with Origin at Free Surface?

Pressure at any Point with Origin at Free Surface calculator uses Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack to calculate the Absolute Pressure, The Pressure at any Point with Origin at Free Surface formula is defined as the pressure in rotating fluid about the axis. Absolute Pressure is denoted by P_Abs symbol.

How to calculate Pressure at any Point with Origin at Free Surface using this online calculator? To use this online calculator for Pressure at any Point with Origin at Free Surface, enter Atmospheric Pressure (P_atm), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Height of Crack (h) and hit the calculate button. Here is how the Pressure at any Point with Origin at Free Surface calculation can be explained with given input values -> 101785.2 = 101325+(9810/[g])*(0.5*(2*0.5)^2)-2*20.

FAQ

What is Pressure at any Point with Origin at Free Surface?

The Pressure at any Point with Origin at Free Surface formula is defined as the pressure in rotating fluid about the axis and is represented as P_Abs = P_atm+(y/[g])*(0.5*(ω*d_r)^2)-ω*h or Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack. Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth, 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 & 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.

How to calculate Pressure at any Point with Origin at Free Surface?

The Pressure at any Point with Origin at Free Surface formula is defined as the pressure in rotating fluid about the axis is calculated using Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack. To calculate Pressure at any Point with Origin at Free Surface, you need Atmospheric Pressure (P_atm), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Height of Crack (h). With our tool, you need to enter the respective value for Atmospheric Pressure, Specific Weight of Liquid, Angular Velocity, Radial Distance from Central Axis & Height of Crack 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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