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*FC/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 is 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 is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
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 is 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: 100 Millimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = sqrt(2*FC/y*B) --> sqrt(2*45621/9810*0.1)
Evaluating ... ...
h = 0.964412641517761
STEP 3: Convert Result to Output's Unit
0.964412641517761 Meter -->964.412641517761 Millimeter (Check conversion here)
FINAL ANSWER
964.412641517761 964.4126 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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11 Liquid Containers Subjected To Constant Horizontal Acceleration Calculators

Width of Tank Perpendicular to Motion given Total Force Exerted at Any Section of Tank
Go Width of Section = 2*Force on Cylinder/(Specific Weight of Liquid*Height of Crack*Height of Crack)
Specific Weight of Liquid given Total Force exerted at any Section of Container
Go Specific Weight of Liquid = 2*Force on Cylinder/(Width of Section*Height of Crack*Height of Crack)
Vertical Depth below Free Surface given Total Force exerted at any Section of Container
Go Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section)
Pressure at Any Points in Liquid
Go Absolute Pressure for Both Direction = Atmospheric Pressure+Specific Weight of Liquid*Height of Crack
Total Force Exerted at Any Section on Container
Go Force on Cylinder = 0.5*Specific Weight of Liquid*Width of Section*Height of Crack^2
Angle of Inclination of Free Surface
Go Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])
Constant Horizontal Acceleration given Angle of Inclination of Free Surface
Go Constant Horizontal Acceleration = tan(Angle of Inclination)*[g]
Constant Horizontal Acceleration given Slope of Surface of Constant Pressure
Go Constant Horizontal Acceleration = Slope of Surface of Constant Pressure*[g]
Vertical Depth below Surface for Gauge Pressure at any point in Liquid
Go Height of Crack = Gauge Pressure for Horizontal/Specific Weight of Liquid
Specific Weight of liquid for Gauge Pressure at point in liquid
Go Specific Weight of Liquid = Gauge Pressure for Horizontal/Height of Crack
Gauge Pressure at Any Point in Liquid with Height
Go Gauge Pressure for Horizontal = Specific Weight of Liquid*Height of Crack

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

Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section)
h = sqrt(2*FC/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 (FC), 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 -> 0.964413 = sqrt(2*45621/9810*0.1).

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*FC/y*B) or Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section). Force on Cylinder is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, 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 is 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 (FC), 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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