Vertical Depth below Free Surface given Pressure at point in Liquid Calculator

✖Absolute Pressure for Both Direction refers to any pressure detected above the absolute zero of pressure.ⓘ Absolute Pressure for Both Direction [P_ab,H]			+10% -10%
✖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%
✖Constant Vertical Acceleration refers to the vertical upward acceleration of tank.ⓘ Constant Vertical Acceleration [α_v]			+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.ⓘ Vertical Depth below Free Surface given Pressure at point in Liquid [h]

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Vertical Depth below Free Surface given Pressure at point in Liquid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g]))
h = (P_ab,H-P_atm)/(y*(1+α_v/[g]))
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

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.
Absolute Pressure for Both Direction - (Measured in Pascal) - Absolute Pressure for Both Direction refers to any pressure detected above the absolute zero of 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.
Constant Vertical Acceleration - (Measured in Meter per Square Second) - Constant Vertical Acceleration refers to the vertical upward acceleration of tank.

STEP 1: Convert Input(s) to Base Unit

Absolute Pressure for Both Direction: 300000 Pascal --> 300000 Pascal No Conversion Required
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)
Constant Vertical Acceleration: 10.03 Meter per Square Second --> 10.03 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (P_ab,H-P_atm)/(y*(1+α_v/[g])) --> (300000-101325)/(9810*(1+10.03/[g]))

Evaluating ... ...

h = 10.012131827527

STEP 3: Convert Result to Output's Unit

10.012131827527 Meter -->10012.131827527 Millimeter (Check conversion here)

FINAL ANSWER

10012.131827527 ≈ 10012.13 Millimeter <-- Height of Crack

(Calculation completed in 00.021 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Liquid Containers Subjected To Constant Vertical Acceleration Calculators

Vertical Depth below Free Surface given Pressure at point in Liquid

LaTeX Go Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g]))

Specific Weight of Liquid given Pressure at point in Liquid

LaTeX Go Specific Weight of Liquid = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Height of Crack*(1+Constant Vertical Acceleration/[g]))

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration

LaTeX Go Atmospheric Pressure = Absolute Pressure for Both Direction+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g])

Pressure at Any Point in Liquids

LaTeX Go Absolute Pressure for Both Direction = Atmospheric Pressure+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g])

Vertical Depth below Free Surface given Pressure at point in Liquid Formula

LaTeX Go

Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g]))
h = (P_ab,H-P_atm)/(y*(1+α_v/[g]))

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 Vertical Depth below Free Surface given Pressure at point in Liquid?

Vertical Depth below Free Surface given Pressure at point in Liquid calculator uses Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g])) to calculate the Height of Crack, The Vertical Depth below Free Surface given Pressure at point in liquid formula is defined as the depth at which pressure is calculated. Height of Crack is denoted by h symbol.

How to calculate Vertical Depth below Free Surface given Pressure at point in Liquid using this online calculator? To use this online calculator for Vertical Depth below Free Surface given Pressure at point in Liquid, enter Absolute Pressure for Both Direction (P_ab,H), Atmospheric Pressure (P_atm), Specific Weight of Liquid (y) & Constant Vertical Acceleration (α_v) and hit the calculate button. Here is how the Vertical Depth below Free Surface given Pressure at point in Liquid calculation can be explained with given input values -> 1E+7 = (300000-101325)/(9810*(1+10.03/[g])).

FAQ

What is Vertical Depth below Free Surface given Pressure at point in Liquid?

The Vertical Depth below Free Surface given Pressure at point in liquid formula is defined as the depth at which pressure is calculated and is represented as h = (P_ab,H-P_atm)/(y*(1+α_v/[g])) or Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g])). Absolute Pressure for Both Direction refers to any pressure detected above the absolute zero of pressure, 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 & Constant Vertical Acceleration refers to the vertical upward acceleration of tank.

How to calculate Vertical Depth below Free Surface given Pressure at point in Liquid?

The Vertical Depth below Free Surface given Pressure at point in liquid formula is defined as the depth at which pressure is calculated is calculated using Height of Crack = (Absolute Pressure for Both Direction-Atmospheric Pressure)/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g])). To calculate Vertical Depth below Free Surface given Pressure at point in Liquid, you need Absolute Pressure for Both Direction (P_ab,H), Atmospheric Pressure (P_atm), Specific Weight of Liquid (y) & Constant Vertical Acceleration (α_v). With our tool, you need to enter the respective value for Absolute Pressure for Both Direction, Atmospheric Pressure, Specific Weight of Liquid & Constant Vertical Acceleration 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 Height of Crack?

In this formula, Height of Crack uses Absolute Pressure for Both Direction, Atmospheric Pressure, Specific Weight of Liquid & Constant Vertical Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of Crack = Gauge Pressure for Vertical/(Specific Weight of Liquid*(1+Constant Vertical Acceleration/[g]))

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