Volumetric Strain of sphere Calculator

✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [δ_dia]			+10% -10%
✖The Diameter of Sphere is the longest straight line through a sphere, connecting two points of a sphere and passing through its center.ⓘ Diameter of Sphere [Φ]			+10% -10%

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain of sphere [ε_v]

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Formula

✖

Volumetric Strain of sphere

Formula

`"ε"_{"v"} = 3*"δ"_{"dia"}/"Φ"`

Example

`"0.03"=3*"0.0505m"/"5.05m"`

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Volumetric Strain of sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Strain = 3*Change in Diameter/Diameter of Sphere
ε_v = 3*δ_dia/Φ
This formula uses 3 Variables

Variables Used

Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere is the longest straight line through a sphere, connecting two points of a sphere and passing through its center.

STEP 1: Convert Input(s) to Base Unit

Change in Diameter: 0.0505 Meter --> 0.0505 Meter No Conversion Required
Diameter of Sphere: 5.05 Meter --> 5.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = 3*δ_dia/Φ --> 3*0.0505/5.05

Evaluating ... ...

ε_v = 0.03

STEP 3: Convert Result to Output's Unit

0.03 --> No Conversion Required

FINAL ANSWER

0.03 <-- Volumetric Strain

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Volumetric Strain of Sphere Calculators

Change in Diameter given Volumetric Strain of Sphere

Go Change in Diameter = Volumetric Strain*Diameter of Sphere/3

Diameter of Sphere using Volumetric Strain of sphere

Go Diameter of Sphere = 3*Change in Diameter/Volumetric Strain

Volumetric Strain of sphere

Go Volumetric Strain = 3*Change in Diameter/Diameter of Sphere

Volumetric Strain of Sphere given Lateral Strain

Go Volumetric Strain = 3*Lateral Strain

Strain given Volumetric Strain of Sphere

Go Lateral Strain = Volumetric Strain/3

Volumetric Strain of sphere Formula

Volumetric Strain = 3*Change in Diameter/Diameter of Sphere
ε_v = 3*δ_dia/Φ

What is volumetric strain?

Volumetric strain of a deformed body is defined as the ratio of the change in volume of the body to the deformation to its original volume. If V is the original volum and dV the change in volume occurred due to the deformation, the volumetric strain ev induced is given by. ev=dV/V.

How to Calculate Volumetric Strain of sphere?

Volumetric Strain of sphere calculator uses Volumetric Strain = 3*Change in Diameter/Diameter of Sphere to calculate the Volumetric Strain, The Volumetric Strain of Sphere formula is defined as the change in volume of sphere per unit original volume. Volumetric Strain is denoted by ε_v symbol.

How to calculate Volumetric Strain of sphere using this online calculator? To use this online calculator for Volumetric Strain of sphere, enter Change in Diameter (δ_dia) & Diameter of Sphere (Φ) and hit the calculate button. Here is how the Volumetric Strain of sphere calculation can be explained with given input values -> 0.03 = 3*0.0505/5.05.

FAQ

What is Volumetric Strain of sphere?

The Volumetric Strain of Sphere formula is defined as the change in volume of sphere per unit original volume and is represented as ε_v = 3*δ_dia/Φ or Volumetric Strain = 3*Change in Diameter/Diameter of Sphere. The Change in Diameter is the difference between the initial and final diameter & The Diameter of Sphere is the longest straight line through a sphere, connecting two points of a sphere and passing through its center.

How to calculate Volumetric Strain of sphere?

The Volumetric Strain of Sphere formula is defined as the change in volume of sphere per unit original volume is calculated using Volumetric Strain = 3*Change in Diameter/Diameter of Sphere. To calculate Volumetric Strain of sphere, you need Change in Diameter (δ_dia) & Diameter of Sphere (Φ). With our tool, you need to enter the respective value for Change in Diameter & Diameter of Sphere 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 Volumetric Strain?

In this formula, Volumetric Strain uses Change in Diameter & Diameter of Sphere. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volumetric Strain = 3*Lateral Strain

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