Radius of disc given circumferential strain for rotating thin disc Calculator

✖Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.ⓘ Increase in Radius [ΔR]			+10% -10%
✖Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.ⓘ Circumferential Strain [e₁]			+10% -10%

✖Radius of disc is the distance from the center of the disc to any point on its edge (circumference).ⓘ Radius of disc given circumferential strain for rotating thin disc [r_disc]

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Radius of disc given circumferential strain for rotating thin disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Disc = Increase in Radius/Circumferential Strain
r_disc = ΔR/e₁
This formula uses 3 Variables

Variables Used

Radius of Disc - (Measured in Meter) - Radius of disc is the distance from the center of the disc to any point on its edge (circumference).
Increase in Radius - (Measured in Meter) - Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.
Circumferential Strain - Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.

STEP 1: Convert Input(s) to Base Unit

Increase in Radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Circumferential Strain: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_disc = ΔR/e₁ --> 0.0065/2.5

Evaluating ... ...

r_disc = 0.0026

STEP 3: Convert Result to Output's Unit

0.0026 Meter -->2.6 Millimeter (Check conversion here)

FINAL ANSWER

2.6 Millimeter <-- Radius of Disc

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Radius of disc given circumferential strain for rotating thin disc

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National Institute Of Technology (NIT), Hamirpur

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

Go Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc)

Density of cylinder material given hoop stress (for thin cylinder)

Go Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)

Mean radius of cylinder given hoop stress in thin cylinder

Go Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity)

Hoop stress in thin cylinder

Go Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

Radius of disc given circumferential strain for rotating thin disc Formula

Radius of Disc = Increase in Radius/Circumferential Strain
r_disc = ΔR/e₁

What is the Allowable Stress?

Allowable stress, also known as allowable strength, is the maximum stress that a material or structure can safely withstand without experiencing failure or permanent deformation. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

What is Compression Stress Force?

Compression stress force is the stress that squeezes something. It is the stress component perpendicular to a given surface, such as a fault plane, that results from forces applied perpendicular to the surface or from remote forces transmitted through the surrounding rock.

How to Calculate Radius of disc given circumferential strain for rotating thin disc?

Radius of disc given circumferential strain for rotating thin disc calculator uses Radius of Disc = Increase in Radius/Circumferential Strain to calculate the Radius of Disc, Radius of disc given circumferential strain for rotating thin disc formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied circumferential strain, reflecting the material's deformation under rotational forces. Radius of Disc is denoted by r_disc symbol.

How to calculate Radius of disc given circumferential strain for rotating thin disc using this online calculator? To use this online calculator for Radius of disc given circumferential strain for rotating thin disc, enter Increase in Radius (ΔR) & Circumferential Strain (e₁) and hit the calculate button. Here is how the Radius of disc given circumferential strain for rotating thin disc calculation can be explained with given input values -> 2600 = 0.0065/2.5.

FAQ

What is Radius of disc given circumferential strain for rotating thin disc?

Radius of disc given circumferential strain for rotating thin disc formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied circumferential strain, reflecting the material's deformation under rotational forces and is represented as r_disc = ΔR/e₁ or Radius of Disc = Increase in Radius/Circumferential Strain. Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors & Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.

How to calculate Radius of disc given circumferential strain for rotating thin disc?

Radius of disc given circumferential strain for rotating thin disc formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied circumferential strain, reflecting the material's deformation under rotational forces is calculated using Radius of Disc = Increase in Radius/Circumferential Strain. To calculate Radius of disc given circumferential strain for rotating thin disc, you need Increase in Radius (ΔR) & Circumferential Strain (e₁). With our tool, you need to enter the respective value for Increase in Radius & Circumferential Strain 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 Radius of Disc?

In this formula, Radius of Disc uses Increase in Radius & Circumferential Strain. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity)
Radius of Disc = Increase in Radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc)

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