Radius of disc given circumferential strain for rotating thin disc Calculator

✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in radius [R_i]			+10% -10%
✖Circumferential strain represents the change in length.ⓘ Circumferential strain [e₁]			+10% -10%

✖Disc Radius is a radial line from the focus to any point of a curve.ⓘ Radius of disc given circumferential strain for rotating thin disc [r_disc]

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Formula

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Radius of disc given circumferential strain for rotating thin disc

Formula

r disc = \frac{R i}{e 1}

Example

2.6 mm = \frac{6.5 mm}{2.5}

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Radius of disc given circumferential strain for rotating thin disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Disc Radius = Increase in radius/Circumferential strain
r_disc = R_i/e₁
This formula uses 3 Variables

Variables Used

Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.
Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Circumferential strain - Circumferential strain represents the change in length.

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 = R_i/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 <-- Disc Radius

(Calculation completed in 00.019 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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Birsa Institute of Technology (BIT), Sindri

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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*Disc Radius)

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

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

Radius of disc given circumferential strain for rotating thin disc Formula

Disc Radius = Increase in radius/Circumferential strain
r_disc = R_i/e₁

What is the allowable stress?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

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 Disc Radius = Increase in radius/Circumferential strain to calculate the Disc Radius, The Radius of disc given circumferential strain for rotating thin disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Disc Radius 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 (R_i) & 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?

The Radius of disc given circumferential strain for rotating thin disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as r_disc = R_i/e₁ or Disc Radius = Increase in radius/Circumferential strain. Increase in radius is the increase in inner radius of outer cylinder of compound cylinder & Circumferential strain represents the change in length.

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

The Radius of disc given circumferential strain for rotating thin disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Disc Radius = Increase in radius/Circumferential strain. To calculate Radius of disc given circumferential strain for rotating thin disc, you need Increase in radius (R_i) & 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 Disc Radius?

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

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

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