Length of Prism given Total Pressure by Volume of Prism Calculator

✖Total pressure refers to the combined pressure exerted by both static pressure and dynamic pressure in a fluid system.ⓘ Total Pressure [P_T]			+10% -10%
✖Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.ⓘ Specific Weight of Liquid in Piezometer [S]			+10% -10%
✖Vertical Depth h1 can be represented as the depth below the free surface of the liquid.ⓘ Vertical Depth h1 [h₁]			+10% -10%
✖Vertical Depth h2 can be described as the depth below the free surface of the liquid.ⓘ Vertical Depth h2 [D_h2]			+10% -10%
✖Breadth of Section can be described as the dimension(breadth) of the section.ⓘ Breadth of Section [b]			+10% -10%

✖Length of Prism is the length of the section and is the term used for identifying the size of any object or section.ⓘ Length of Prism given Total Pressure by Volume of Prism [L]

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Formula

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Length of Prism given Total Pressure by Volume of Prism

Formula

`"L" = 2*"P"_{"T"}/("S"*("h"_{"1"}+"D"_{"h2"}))*"b"_{""}`

Example

`"0.0028m"=2*"105Pa"/("0.75kN/m³"*("50m"+"50m"))*"1000mm"`

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Length of Prism given Total Pressure by Volume of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section
L = 2*P_T/(S*(h₁+D_h2))*b
This formula uses 6 Variables

Variables Used

Length of Prism - (Measured in Meter) - Length of Prism is the length of the section and is the term used for identifying the size of any object or section.
Total Pressure - (Measured in Pascal) - Total pressure refers to the combined pressure exerted by both static pressure and dynamic pressure in a fluid system.
Specific Weight of Liquid in Piezometer - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.
Vertical Depth h1 - (Measured in Meter) - Vertical Depth h1 can be represented as the depth below the free surface of the liquid.
Vertical Depth h2 - (Measured in Meter) - Vertical Depth h2 can be described as the depth below the free surface of the liquid.
Breadth of Section - (Measured in Meter) - Breadth of Section can be described as the dimension(breadth) of the section.

STEP 1: Convert Input(s) to Base Unit

Total Pressure: 105 Pascal --> 105 Pascal No Conversion Required
Specific Weight of Liquid in Piezometer: 0.75 Kilonewton per Cubic Meter --> 750 Newton per Cubic Meter (Check conversion here)
Vertical Depth h1: 50 Meter --> 50 Meter No Conversion Required
Vertical Depth h2: 50 Meter --> 50 Meter No Conversion Required
Breadth of Section: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 2*P_T/(S*(h₁+D_h2))*b --> 2*105/(750*(50+50))*1

Evaluating ... ...

L = 0.0028

STEP 3: Convert Result to Output's Unit

0.0028 Meter --> No Conversion Required

FINAL ANSWER

0.0028 Meter <-- Length of Prism

(Calculation completed in 00.004 seconds)

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< 7 Pressure Diagram Calculators

Depth of Center of Pressure

Go Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3)

Total Pressure by Volume of Prism

Go Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism

Length of Prism given Total Pressure by Volume of Prism

Go Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section

Vertical Depth given Pressure Intensity for Bottom Edge of Plane Surface

Go Vertical Depth h2 = Pressure Intensity/Specific Weight of Liquid in Piezometer

Vertical Depth given Pressure Intensity for Top Edge of Plane Surface

Go Vertical Depth h1 = Pressure Intensity/Specific Weight of Liquid in Piezometer

Pressure Intensity for Bottom Edge of Plane Surface

Go Pressure 2 = Specific Weight of Liquid in Piezometer*Vertical Depth h2

Pressure Intensity for Top Edge of Plane Surface

Go Pressure 1 = Specific Weight of Liquid in Piezometer*Vertical Depth h1

Length of Prism given Total Pressure by Volume of Prism Formula

Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section
L = 2*P_T/(S*(h₁+D_h2))*b

What is meant by Specific Weight?

Specific Weight is the weight of a substance per unit volume in absolute units equal to the density multiplied by the acceleration of gravity.

How to Calculate Length of Prism given Total Pressure by Volume of Prism?

Length of Prism given Total Pressure by Volume of Prism calculator uses Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section to calculate the Length of Prism, The Length of Prism given Total Pressure by Volume of Prism is the length of the section and is the term used for identifying the size of any object or section. Length of Prism is denoted by L symbol.

How to calculate Length of Prism given Total Pressure by Volume of Prism using this online calculator? To use this online calculator for Length of Prism given Total Pressure by Volume of Prism, enter Total Pressure (P_T), Specific Weight of Liquid in Piezometer (S), Vertical Depth h1 (h₁), Vertical Depth h2 (D_h2) & Breadth of Section (b) and hit the calculate button. Here is how the Length of Prism given Total Pressure by Volume of Prism calculation can be explained with given input values -> 0.0028 = 2*105/(750*(50+50))*1.

FAQ

What is Length of Prism given Total Pressure by Volume of Prism?

The Length of Prism given Total Pressure by Volume of Prism is the length of the section and is the term used for identifying the size of any object or section and is represented as L = 2*P_T/(S*(h₁+D_h2))*b or Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section. Total pressure refers to the combined pressure exerted by both static pressure and dynamic pressure in a fluid system, Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V, Vertical Depth h1 can be represented as the depth below the free surface of the liquid, Vertical Depth h2 can be described as the depth below the free surface of the liquid & Breadth of Section can be described as the dimension(breadth) of the section.

How to calculate Length of Prism given Total Pressure by Volume of Prism?

The Length of Prism given Total Pressure by Volume of Prism is the length of the section and is the term used for identifying the size of any object or section is calculated using Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section. To calculate Length of Prism given Total Pressure by Volume of Prism, you need Total Pressure (P_T), Specific Weight of Liquid in Piezometer (S), Vertical Depth h1 (h₁), Vertical Depth h2 (D_h2) & Breadth of Section (b). With our tool, you need to enter the respective value for Total Pressure, Specific Weight of Liquid in Piezometer, Vertical Depth h1, Vertical Depth h2 & Breadth of Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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