Final circumference given circumferential strain for rotating thin disc Calculator

✖Circumferential strain represents the change in length.ⓘ Circumferential strain [e₁]			+10% -10%
✖Initial circumference is the initial circumference value of disc, as under no stress.ⓘ Initial circumference [C_initial]			+10% -10%

✖Final Circumference is the final circumference value of disc as increased due to strain on disc.ⓘ Final circumference given circumferential strain for rotating thin disc [C₂]

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Formula

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Final circumference given circumferential strain for rotating thin disc

Formula

`"C"_{"2"} = ("e"_{"1"}+1)*"C"_{"initial"}`

Example

`"8.4mm"=("2.5"+1)*"2.4mm"`

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Final circumference given circumferential strain for rotating thin disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Final Circumference = (Circumferential strain+1)*Initial circumference
C₂ = (e₁+1)*C_initial
This formula uses 3 Variables

Variables Used

Final Circumference - (Measured in Meter) - Final Circumference is the final circumference value of disc as increased due to strain on disc.
Circumferential strain - Circumferential strain represents the change in length.
Initial circumference - (Measured in Meter) - Initial circumference is the initial circumference value of disc, as under no stress.

STEP 1: Convert Input(s) to Base Unit

Circumferential strain: 2.5 --> No Conversion Required
Initial circumference: 2.4 Millimeter --> 0.0024 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C₂ = (e₁+1)*C_initial --> (2.5+1)*0.0024

Evaluating ... ...

C₂ = 0.0084

STEP 3: Convert Result to Output's Unit

0.0084 Meter -->8.4 Millimeter (Check conversion here)

FINAL ANSWER

8.4 Millimeter <-- Final Circumference

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Final circumference given circumferential strain for rotating thin disc

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 21 Expression for Stresses in Rotating Thin Disc Calculators

Poisson's ratio given initial radial width of disc

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

Modulus of elasticity given initial radial width of disc

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

Modulus of elasticity given radius of disc

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

Increase in radius of disc given stresses

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

Radius of disc given stresses on disc

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

Poisson's ratio given radius of disc

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

Poisson's ratio given circumferential strain on disc

Go Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)

Modulus of elasticity given circumferential strain on disc

Go Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential strain

Poisson's ratio given radial strain on disc

Go Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

Modulus of elasticity given radial strain on disc

Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain

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

Initial circumference given circumferential strain for rotating thin disc

Go Initial circumference = Final Circumference/(Circumferential strain+1)

Final circumference given circumferential strain for rotating thin disc

Go Final Circumference = (Circumferential strain+1)*Initial circumference

Tangential velocity of cylinder given hoop stress in thin cylinder

Go Tangential Velocity = Hoop Stress in Disc/(Density Of Disc)

Density of material of cylinder given hoop stress and tangential velocity

Go Density Of Disc = Hoop Stress in Disc/Tangential Velocity

Hoop stress in thin cylinder given tangential velocity of cylinder

Go Hoop Stress in Disc = Tangential Velocity*Density Of Disc

Increase in radius given circumferential strain for rotating thin disc

Go Increase in radius = Circumferential strain*Disc Radius

Radius of disc given circumferential strain for rotating thin disc

Go Disc Radius = Increase in radius/Circumferential strain

Final circumference given circumferential strain for rotating thin disc Formula

Final Circumference = (Circumferential strain+1)*Initial circumference
C₂ = (e₁+1)*C_initial

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 Final circumference given circumferential strain for rotating thin disc?

Final circumference given circumferential strain for rotating thin disc calculator uses Final Circumference = (Circumferential strain+1)*Initial circumference to calculate the Final Circumference, The Final circumference given circumferential strain for rotating thin disc formula is defined as the linear distance of a circle's edge. Final Circumference is denoted by C₂ symbol.

How to calculate Final circumference given circumferential strain for rotating thin disc using this online calculator? To use this online calculator for Final circumference given circumferential strain for rotating thin disc, enter Circumferential strain (e₁) & Initial circumference (C_initial) and hit the calculate button. Here is how the Final circumference given circumferential strain for rotating thin disc calculation can be explained with given input values -> 8400 = (2.5+1)*0.0024.

FAQ

What is Final circumference given circumferential strain for rotating thin disc?

The Final circumference given circumferential strain for rotating thin disc formula is defined as the linear distance of a circle's edge and is represented as C₂ = (e₁+1)*C_initial or Final Circumference = (Circumferential strain+1)*Initial circumference. Circumferential strain represents the change in length & Initial circumference is the initial circumference value of disc, as under no stress.

How to calculate Final circumference given circumferential strain for rotating thin disc?

The Final circumference given circumferential strain for rotating thin disc formula is defined as the linear distance of a circle's edge is calculated using Final Circumference = (Circumferential strain+1)*Initial circumference. To calculate Final circumference given circumferential strain for rotating thin disc, you need Circumferential strain (e₁) & Initial circumference (C_initial). With our tool, you need to enter the respective value for Circumferential strain & Initial circumference 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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