Vertical Depth below Free Surface given Total Force exerted at any Section of Container Calculator

✖Force on Cylinder refers to the pressure, load, or any external force exerted on a cylindrical object, such as a pipe or a mechanical cylinder.ⓘ Force on Cylinder [F_C]			+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%
✖Width of Section refers to the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Section [B]			+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 Total Force exerted at any Section of Container [h]

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Vertical Depth below Free Surface given Total Force exerted at any Section of Container Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section)
h = sqrt(2*F_C/y*B)
This formula uses 1 Functions, 4 Variables

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

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.
Force on Cylinder - (Measured in Newton) - Force on Cylinder refers to the pressure, load, or any external force exerted on a cylindrical object, such as a pipe or a mechanical cylinder.
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.
Width of Section - (Measured in Meter) - Width of Section refers to the width of the rectangular cross-section of the beam parallel to the axis in consideration.

STEP 1: Convert Input(s) to Base Unit

Force on Cylinder: 45621 Newton --> 45621 Newton No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Width of Section: 24 Millimeter --> 0.024 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(2*F_C/y*B) --> sqrt(2*45621/9810*0.024)

Evaluating ... ...

h = 0.472463774641637

STEP 3: Convert Result to Output's Unit

0.472463774641637 Meter -->472.463774641637 Millimeter (Check conversion here)

FINAL ANSWER

472.463774641637 ≈ 472.4638 Millimeter <-- Height of Crack

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Liquid Containers Subjected To Constant Horizontal Acceleration Calculators

Pressure at Any Points in Liquid

LaTeX Go Absolute Pressure for Both Direction = Atmospheric Pressure+Specific Weight of Liquid*Height of Crack

Constant Horizontal Acceleration given Slope of Surface of Constant Pressure

LaTeX Go Constant Horizontal Acceleration = Absolute Frequency*[g]*Slope of Surface of Constant Pressure

Angle of Inclination of Free Surface

LaTeX Go Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])

Constant Horizontal Acceleration given Angle of Inclination of Free Surface

LaTeX Go Constant Horizontal Acceleration = tan(Angle of Inclination)*[g]

Vertical Depth below Free Surface given Total Force exerted at any Section of Container Formula

LaTeX Go

Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section)
h = sqrt(2*F_C/y*B)

What is Free Surface?

A Free surface is the surface of a fluid that is subject to zero parallel shear stress, such as the interface between two homogeneous fluids, for example liquid water and the air in the Earth's atmosphere.

How to Calculate Vertical Depth below Free Surface given Total Force exerted at any Section of Container?

Vertical Depth below Free Surface given Total Force exerted at any Section of Container calculator uses Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section) to calculate the Height of Crack, The Vertical Depth below Free Surface given Total Force exerted at any Section of Container is defined as the depth of water at a particular section. Height of Crack is denoted by h symbol.

How to calculate Vertical Depth below Free Surface given Total Force exerted at any Section of Container using this online calculator? To use this online calculator for Vertical Depth below Free Surface given Total Force exerted at any Section of Container, enter Force on Cylinder (F_C), Specific Weight of Liquid (y) & Width of Section (B) and hit the calculate button. Here is how the Vertical Depth below Free Surface given Total Force exerted at any Section of Container calculation can be explained with given input values -> 472463.8 = sqrt(2*45621/9810*0.024).

FAQ

What is Vertical Depth below Free Surface given Total Force exerted at any Section of Container?

The Vertical Depth below Free Surface given Total Force exerted at any Section of Container is defined as the depth of water at a particular section and is represented as h = sqrt(2*F_C/y*B) or Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section). Force on Cylinder refers to the pressure, load, or any external force exerted on a cylindrical object, such as a pipe or a mechanical cylinder, 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 & Width of Section refers to the width of the rectangular cross-section of the beam parallel to the axis in consideration.

How to calculate Vertical Depth below Free Surface given Total Force exerted at any Section of Container?

The Vertical Depth below Free Surface given Total Force exerted at any Section of Container is defined as the depth of water at a particular section is calculated using Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section). To calculate Vertical Depth below Free Surface given Total Force exerted at any Section of Container, you need Force on Cylinder (F_C), Specific Weight of Liquid (y) & Width of Section (B). With our tool, you need to enter the respective value for Force on Cylinder, Specific Weight of Liquid & Width of Section 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 Force on Cylinder, Specific Weight of Liquid & Width of Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of Crack = Gauge Pressure for Horizontal/Specific Weight of Liquid

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