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 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
Patm = PAbs-((y/[g])*(0.5*(ω*dr)^2)+ω*h) --> 100000-((9810/[g])*(0.5*(2*0.5)^2)+2*20)
Evaluating ... ...
Patm = 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)

Credits

Creator Image
Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verifier Image
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

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])

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

​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)
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 formula is defined as the 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 -> 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 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 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 (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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!