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)
Patm = PAbs-((y/[g])*(0.5*(ω*dr)^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 is labeled when any pressure is detected above the absolute zero of 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 is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Height of Crack - (Measured in Meter) - Height of Crack is 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: 12000 Millimeter --> 12 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Patm = PAbs-((y/[g])*(0.5*(ω*dr)^2)+ω*h) --> 100000-((9810/[g])*(0.5*(2*0.5)^2)+2*12)
Evaluating ... ...
Patm = 99475.8291975343
STEP 3: Convert Result to Output's Unit
99475.8291975343 Pascal --> No Conversion Required
FINAL ANSWER
99475.8291975343 99475.83 Pascal <-- Atmospheric Pressure
(Calculation completed in 00.004 seconds)

Credits

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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9 Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical Calculators

Radial Distance for Pressure at Any Point with Origin at Free Surface
Go Radial Distance from Central Axis = sqrt((2*[g]/Specific Weight of Liquid*(Angular Velocity^2))*(Absolute Pressure-Atmospheric Pressure+Specific Weight of Liquid*Height of Crack))
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
Pressure at any Point with Origin at Free Surface
Go Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack
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))
Constant Angular Velocity given Centripetal acceleration at radial distance r from axis
Go Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis)
Equation of Free Surface of liquid
Go Height of Crack = ((Angular Velocity*Distance from Center to Point)^2)/(2*[g])
Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis
Go Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis
Radial Distance given Centripetal Acceleration from Axis
Go Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2)

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

Atmospheric Pressure = Absolute Pressure-((Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)+Angular Velocity*Height of Crack)
Patm = PAbs-((y/[g])*(0.5*(ω*dr)^2)+ω*h)

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 is defined as pressure exerted by atmosphere on the surface of liquid. Atmospheric Pressure is denoted by Patm 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 (PAbs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (dr) & 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 -> 99475.81 = 100000-((9810/[g])*(0.5*(2*0.5)^2)+2*12).

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 is defined as pressure exerted by atmosphere on the surface of liquid and is represented as Patm = PAbs-((y/[g])*(0.5*(ω*dr)^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 is labeled when any pressure is detected above the absolute zero of 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 is defined as distance between whisker sensor's pivot point to whisker-object contact point & Height of Crack is 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 is defined as 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 (PAbs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (dr) & 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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