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

✖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.ⓘ Height of Crack [h]			+10% -10%

✖Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.ⓘ Atmospheric Pressure given Pressure at any Point with Origin at Free Surface [P_atm]

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Formula

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

Formula

P atm = P Abs - ((\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2}) + ω \cdot h)

Example

99459.83 Pa = 100000 Pa - ((\frac{9.81 kN/m³}{[g]}) \cdot (0.5 \cdot {(2 rad/s \cdot 0.5 m)}^{2}) + 2 rad/s \cdot 20000 mm)

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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
Height of Crack: 20000 Millimeter --> 20 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_atm = P_Abs-((y/[g])*(0.5*(ω*d_r)^2)+ω*h) --> 100000-((9810/[g])*(0.5*(2*0.5)^2)+2*20)

Evaluating ... ...

P_atm = 99459.8291975343

STEP 3: Convert Result to Output's Unit

99459.8291975343 Pascal --> No Conversion Required

FINAL ANSWER

99459.8291975343 ≈ 99459.83 Pascal <-- Atmospheric Pressure

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Information Technology (IIIT), Bhopal

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

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

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

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

Equation of Free Surface of liquid

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

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

What is Atmospheric Pressure?

Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth. The standard atmosphere is a unit of pressure defined as 101,325 Pa, which is equivalent to 760 mm Hg, 29.9212 inches Hg, or 14.696 psi.

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

Atmospheric Pressure given Pressure at any Point with Origin at Free Surface calculator uses Atmospheric Pressure = Absolute Pressure-((Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)+Angular Velocity*Height of Crack) to calculate the Atmospheric Pressure, The Atmospheric Pressure given Pressure at any point with origin at free surface formula is defined as the pressure exerted by atmosphere on the surface of liquid. Atmospheric Pressure is denoted by P_atm symbol.

How to calculate Atmospheric Pressure given Pressure at any Point with Origin at Free Surface using this online calculator? To use this online calculator for Atmospheric Pressure given Pressure at any Point with Origin at Free Surface, enter Absolute Pressure (P_Abs), 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 Atmospheric Pressure given Pressure at any Point with Origin at Free Surface calculation can be explained with given input values -> 99459.83 = 100000-((9810/[g])*(0.5*(2*0.5)^2)+2*20).

FAQ

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

The Atmospheric Pressure given Pressure at any point with origin at free surface formula is defined as the pressure exerted by atmosphere on the surface of liquid and is represented as P_atm = P_Abs-((y/[g])*(0.5*(ω*d_r)^2)+ω*h) or Atmospheric Pressure = Absolute Pressure-((Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)+Angular Velocity*Height of Crack). 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 & 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 Atmospheric Pressure given Pressure at any Point with Origin at Free Surface?

The Atmospheric Pressure given Pressure at any point with origin at free surface formula is defined as the pressure exerted by atmosphere on the surface of liquid is calculated using Atmospheric Pressure = Absolute Pressure-((Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)+Angular Velocity*Height of Crack). To calculate Atmospheric Pressure given Pressure at any Point with Origin at Free Surface, you need Absolute Pressure (P_Abs), 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 Absolute 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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