Original Volume of Body given Volumetric Strain Calculator

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✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+10% -10%

✖Original Volume is the volume of soil before excavation.ⓘ Original Volume of Body given Volumetric Strain [V₀]

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Formula

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Original Volume of Body given Volumetric Strain

Formula

`"V"_{"0"} = "∆V"/"ε"_{"v"}`

Example

`"20m³"="50m³"/"2.5"`

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Original Volume of Body given Volumetric Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Original Volume = Change in Volume/Volumetric Strain
V₀ = ∆V/ε_v
This formula uses 3 Variables

Variables Used

Original Volume - (Measured in Cubic Meter) - Original Volume is the volume of soil before excavation.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 50 Cubic Meter --> 50 Cubic Meter No Conversion Required
Volumetric Strain: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₀ = ∆V/ε_v --> 50/2.5

Evaluating ... ...

V₀ = 20

STEP 3: Convert Result to Output's Unit

20 Cubic Meter --> No Conversion Required

FINAL ANSWER

20 Cubic Meter <-- Original Volume

(Calculation completed in 00.013 seconds)

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Credits

Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

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Original Volume of Body given Volumetric Strain

Go Original Volume = Change in Volume/Volumetric Strain

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Go Volumetric Strain = Change in Volume/Original Volume

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Go Stress = Force/Area

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Go Area = Force/Stress

Original Volume of Body given Volumetric Strain Formula

Original Volume = Change in Volume/Volumetric Strain
V₀ = ∆V/ε_v

What is elasticity?

The ability of an object or material to resume its normal shape after being stretched or compressed, stretchiness.

How to Calculate Original Volume of Body given Volumetric Strain?

Original Volume of Body given Volumetric Strain calculator uses Original Volume = Change in Volume/Volumetric Strain to calculate the Original Volume, The Original Volume of Body given Volumetric Strain formula is defined as the initial volume of the body before the force was applied. Original Volume is denoted by V₀ symbol.

How to calculate Original Volume of Body given Volumetric Strain using this online calculator? To use this online calculator for Original Volume of Body given Volumetric Strain, enter Change in Volume (∆V) & Volumetric Strain (ε_v) and hit the calculate button. Here is how the Original Volume of Body given Volumetric Strain calculation can be explained with given input values -> 20 = 50/2.5.

FAQ

What is Original Volume of Body given Volumetric Strain?

The Original Volume of Body given Volumetric Strain formula is defined as the initial volume of the body before the force was applied and is represented as V₀ = ∆V/ε_v or Original Volume = Change in Volume/Volumetric Strain. The Change in volume is difference of initial and final volume & The Volumetric Strain is the ratio of change in volume to original volume.

How to calculate Original Volume of Body given Volumetric Strain?

The Original Volume of Body given Volumetric Strain formula is defined as the initial volume of the body before the force was applied is calculated using Original Volume = Change in Volume/Volumetric Strain. To calculate Original Volume of Body given Volumetric Strain, you need Change in Volume (∆V) & Volumetric Strain (ε_v). With our tool, you need to enter the respective value for Change in Volume & Volumetric Strain 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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