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Radial strain for rotating thin disc Formula

GoRadial strain for rotating thin disc given initial radial width of disc Formula

GoRadial strain on disc given stresses Formula

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Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object). Check FAQs

ε r = \frac{dr f - d r}{d r}

ε_r - Radial Strain?dr_f - Final Radial Width?d_r - Initial Radial Width?

Radial strain for rotating thin disc Example

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Here is how the Radial strain for rotating thin disc equation looks like with Values.

Here is how the Radial strain for rotating thin disc equation looks like with Units.

Here is how the Radial strain for rotating thin disc equation looks like.

2 = \frac{9 - 3}{3}

2 = \frac{9mm - 3mm}{3mm}

2 = \frac{9 - 3}{3}

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Radial strain for rotating thin disc Solution

Follow our step by step solution on how to calculate Radial strain for rotating thin disc?

FIRST Step Consider the formula

ε r = \frac{dr f - d r}{d r}

Next Step Substitute values of Variables

∴

ε r = \frac{9mm - 3mm}{3mm}

Next Step Convert Units

∴

ε r = \frac{0.009m - 0.003m}{0.003m}

Next Step Prepare to Evaluate

∴

ε r = \frac{0.009 - 0.003}{0.003}

LAST Step Evaluate

∴

ε r = 2

Radial strain for rotating thin disc Formula Elements

Variables

Radial Strain

Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Radial Strain

Final Radial Width

Final radial width refers to the change or the final measurement of the distance from the center of an object to its outer edge after some transformation or process.

Symbol: dr_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Final Radial Width

Initial Radial Width

Initial radial width the starting radial distance or width at a particular point or state.

Symbol: d_r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Radial Width

Other Formulas to find Radial Strain

Go Radial strain for rotating thin disc given initial radial width of disc

ε r = \frac{Δr}{d r}

Go Radial strain on disc given stresses

ε r = \frac{σ r - (𝛎 \cdot σ c)}{E}

Other formulas in Radial Stress and Strain category

Go Radial stress for disc given circumferential strain on disc

σ r = \frac{σ c - (e 1 \cdot E)}{𝛎}

Go Radial stress given initial radial width of disc

σ r = ((\frac{Δr}{d r}) \cdot E) + (𝛎 \cdot σ c)

Go Radial stress given radial strain on disc

σ r = (ε r \cdot E) + (𝛎 \cdot σ c)

Go Radial stress given radius of disc

σ r = \frac{σ c - ((\frac{ΔR}{r disc}) \cdot E)}{𝛎}

How to Evaluate Radial strain for rotating thin disc?

Radial strain for rotating thin disc evaluator uses Radial Strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width to evaluate the Radial Strain, Radial strain for rotating thin disc formula is defined as the measure of deformation experienced by a rotating disc in response to radial forces. It helps in understanding the material behavior under rotational stress conditions. Radial Strain is denoted by ε_r symbol.

How to evaluate Radial strain for rotating thin disc using this online evaluator? To use this online evaluator for Radial strain for rotating thin disc, enter Final Radial Width (dr_f) & Initial Radial Width (d_r) and hit the calculate button.

FAQs on Radial strain for rotating thin disc

What is the formula to find Radial strain for rotating thin disc?

The formula of Radial strain for rotating thin disc is expressed as Radial Strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width. Here is an example- 2 = (0.009-0.003)/0.003.

How to calculate Radial strain for rotating thin disc?

With Final Radial Width (dr_f) & Initial Radial Width (d_r) we can find Radial strain for rotating thin disc using the formula - Radial Strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width.

What are the other ways to Calculate Radial Strain?

Here are the different ways to Calculate Radial Strain-

Radial Strain=Increase in Radial Width/Initial Radial Width
Radial Strain=(Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc

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