Radial Distance for Pressure at Any Point with Origin at Free Surface Calculator

✖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%
✖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%
✖Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.ⓘ Atmospheric Pressure [P_atm]			+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%

✖Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance for Pressure at Any Point with Origin at Free Surface [d_r]

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Radial Distance for Pressure at Any Point with Origin at Free Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
d_r = sqrt((2*[g]/y*(ω^2))*(P_Abs-P_atm+y*h))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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

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
Absolute Pressure: 100000 Pascal --> 100000 Pascal No Conversion Required
Atmospheric Pressure: 101325 Pascal --> 101325 Pascal No Conversion Required
Height of Crack: 20000 Millimeter --> 20 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_r = sqrt((2*[g]/y*(ω^2))*(P_Abs-P_atm+y*h)) --> sqrt((2*[g]/9810*(2^2))*(100000-101325+9810*20))

Evaluating ... ...

d_r = 39.4774317778619

STEP 3: Convert Result to Output's Unit

39.4774317778619 Meter --> No Conversion Required

FINAL ANSWER

39.4774317778619 ≈ 39.47743 Meter <-- Radial Distance from Central Axis

(Calculation completed in 00.004 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 M Naveen

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])

Radial Distance for 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 Radial Distance for Pressure at Any Point with Origin at Free Surface?

Radial Distance for Pressure at Any Point with Origin at Free Surface calculator uses 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)) to calculate the Radial Distance from Central Axis, The Radial Distance for Pressure at Any Point with Origin at Free Surface formula is defined as the distance at which pressure is calculated from axis of rotation. Radial Distance from Central Axis is denoted by d_r symbol.

How to calculate Radial Distance for Pressure at Any Point with Origin at Free Surface using this online calculator? To use this online calculator for Radial Distance for Pressure at Any Point with Origin at Free Surface, enter Specific Weight of Liquid (y), Angular Velocity (ω), Absolute Pressure (P_Abs), Atmospheric Pressure (P_atm) & Height of Crack (h) and hit the calculate button. Here is how the Radial Distance for Pressure at Any Point with Origin at Free Surface calculation can be explained with given input values -> 39.47743 = sqrt((2*[g]/9810*(2^2))*(100000-101325+9810*20)).

FAQ

What is Radial Distance for Pressure at Any Point with Origin at Free Surface?

The Radial Distance for Pressure at Any Point with Origin at Free Surface formula is defined as the distance at which pressure is calculated from axis of rotation and is represented as d_r = sqrt((2*[g]/y*(ω^2))*(P_Abs-P_atm+y*h)) or 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)). 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, Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure), Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth & 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 Radial Distance for Pressure at Any Point with Origin at Free Surface?

The Radial Distance for Pressure at Any Point with Origin at Free Surface formula is defined as the distance at which pressure is calculated from axis of rotation is calculated using 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)). To calculate Radial Distance for Pressure at Any Point with Origin at Free Surface, you need Specific Weight of Liquid (y), Angular Velocity (ω), Absolute Pressure (P_Abs), Atmospheric Pressure (P_atm) & Height of Crack (h). With our tool, you need to enter the respective value for Specific Weight of Liquid, Angular Velocity, Absolute Pressure, Atmospheric Pressure & Height of Crack 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 Radial Distance from Central Axis?

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

Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2)

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