Change in Diameter given Volumetric Strain of Sphere Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_v]			+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 Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter given Volumetric Strain of Sphere [δ_dia]

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Formula

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Change in Diameter given Volumetric Strain of Sphere

Formula

`"δ"_{"dia"} = "ε"_{"v"}*"Φ"/3`

Example

`"0.000168m"="0.0001"*"5.05m"/3`

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Change in Diameter given Volumetric Strain of Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
Volumetric Strain - The Volumetric Strain is the ratio of change in volume to original volume.
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

Volumetric Strain: 0.0001 --> No Conversion Required
Diameter of Sphere: 5.05 Meter --> 5.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_dia = ε_v*Φ/3 --> 0.0001*5.05/3

Evaluating ... ...

δ_dia = 0.000168333333333333

STEP 3: Convert Result to Output's Unit

0.000168333333333333 Meter --> No Conversion Required

FINAL ANSWER

0.000168333333333333 ≈ 0.000168 Meter <-- Change in Diameter

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Volumetric Strain of Sphere Calculators

Diameter of Sphere using Volumetric Strain of sphere

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

Change in Diameter given Volumetric Strain of Sphere

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

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

Change in Diameter given Volumetric Strain of Sphere Formula

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

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 volume 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 Change in Diameter given Volumetric Strain of Sphere?

Change in Diameter given Volumetric Strain of Sphere calculator uses Change in Diameter = Volumetric Strain*Diameter of Sphere/3 to calculate the Change in Diameter, The Change in Diameter given Volumetric Strain of Sphere formula is defined as the elongation in diameter. Change in Diameter is denoted by δ_dia symbol.

How to calculate Change in Diameter given Volumetric Strain of Sphere using this online calculator? To use this online calculator for Change in Diameter given Volumetric Strain of Sphere, enter Volumetric Strain (ε_v) & Diameter of Sphere (Φ) and hit the calculate button. Here is how the Change in Diameter given Volumetric Strain of Sphere calculation can be explained with given input values -> 0.000168 = 0.0001*5.05/3.

FAQ

What is Change in Diameter given Volumetric Strain of Sphere?

The Change in Diameter given Volumetric Strain of Sphere formula is defined as the elongation in diameter and is represented as δ_dia = ε_v*Φ/3 or Change in Diameter = Volumetric Strain*Diameter of Sphere/3. The Volumetric Strain is the ratio of change in volume to original volume & 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 Change in Diameter given Volumetric Strain of Sphere?

The Change in Diameter given Volumetric Strain of Sphere formula is defined as the elongation in diameter is calculated using Change in Diameter = Volumetric Strain*Diameter of Sphere/3. To calculate Change in Diameter given Volumetric Strain of Sphere, you need Volumetric Strain (ε_v) & Diameter of Sphere (Φ). With our tool, you need to enter the respective value for Volumetric Strain & Diameter of Sphere 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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