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Length of cylindrical shell given change in volume of cylindrical shell Formula

GoLength of cylindrical shell given change in length of cylindrical shell Formula

GoLength of thin cylindrical strain given volumetric strain Formula

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Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end. Check FAQs

L cylinder = \frac{(\frac{∆V}{\frac{π}{4}}) - (ΔL \cdot (D^{2}))}{2 \cdot D \cdot ∆d}

L_cylinder - Length Of Cylindrical Shell?∆V - Change in Volume?ΔL - Change in Length?D - Diameter of Shell?∆d - Change in Diameter?π - Archimedes' constant?

Length of cylindrical shell given change in volume of cylindrical shell Example

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Here is how the Length of cylindrical shell given change in volume of cylindrical shell equation looks like with Values.

Here is how the Length of cylindrical shell given change in volume of cylindrical shell equation looks like with Units.

Here is how the Length of cylindrical shell given change in volume of cylindrical shell equation looks like.

296928.0581 = \frac{(\frac{56}{\frac{3.1416}{4}}) - (1100 \cdot (2200^{2}))}{2 \cdot 2200 \cdot 50.5}

296928.0581mm = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (1100mm \cdot ({2200mm}^{2}))}{2 \cdot 2200mm \cdot 50.5mm}

296928.0581 = \frac{(\frac{56}{\frac{3.1416}{4}}) - (1100 \cdot (2200^{2}))}{2 \cdot 2200 \cdot 50.5}

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Length of cylindrical shell given change in volume of cylindrical shell Solution

Follow our step by step solution on how to calculate Length of cylindrical shell given change in volume of cylindrical shell?

FIRST Step Consider the formula

L cylinder = \frac{(\frac{∆V}{\frac{π}{4}}) - (ΔL \cdot (D^{2}))}{2 \cdot D \cdot ∆d}

Next Step Substitute values of Variables

∴

L cylinder = \frac{(\frac{56m³}{\frac{π}{4}}) - (1100mm \cdot ({2200mm}^{2}))}{2 \cdot 2200mm \cdot 50.5mm}

Next Step Substitute values of Constants

∴

L cylinder = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (1100mm \cdot ({2200mm}^{2}))}{2 \cdot 2200mm \cdot 50.5mm}

Next Step Convert Units

∴

L cylinder = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (1.1m \cdot ({2.2m}^{2}))}{2 \cdot 2.2m \cdot 0.0505m}

Next Step Prepare to Evaluate

∴

L cylinder = \frac{(\frac{56}{\frac{3.1416}{4}}) - (1.1 \cdot ({2.2}^{2}))}{2 \cdot 2.2 \cdot 0.0505}

Next Step Evaluate

∴

L cylinder = 296.928058079069m

Next Step Convert to Output's Unit

∴

L cylinder = 296928.058079069mm

LAST Step Rounding Answer

∴

L cylinder = 296928.0581mm

Length of cylindrical shell given change in volume of cylindrical shell Formula Elements

Variables

Constants

Length Of Cylindrical Shell

Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

Symbol: L_cylinder

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length Of Cylindrical Shell

Change in Volume

The Change in volume is difference of initial and final volume.

Symbol: ∆V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Change in Volume

Change in Length

Change in Length is after the application of force, change in the dimensions of the object.

Symbol: ΔL

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Length

Diameter of Shell

Diameter of Shell is the maximum width of cylinder in transverse direction.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shell

Change in Diameter

The Change in Diameter is the difference between the initial and final diameter.

Symbol: ∆d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Diameter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Length Of Cylindrical Shell

Go Length of cylindrical shell given change in length of cylindrical shell

L cylinder = \frac{ΔL \cdot (2 \cdot t \cdot E)}{((P i \cdot D)) \cdot ((\frac{1}{2}) - 𝛎)}

Go Length of thin cylindrical strain given volumetric strain

L cylinder = \frac{ΔL}{ε v - (2 \cdot \frac{∆d}{D})}

Other formulas in Stress and Strain category

Go Hoop stress given circumferential strain

σ θ = (e 1 \cdot E) + (𝛎 \cdot σ l)

Go Longitudinal stress given circumferential strain

σ l = \frac{σ θ - (e 1 \cdot E)}{𝛎}

Go Internal fluid pressure given circumferential strain

P i = \frac{e 1 \cdot (2 \cdot t \cdot E)}{((D i)) \cdot ((\frac{1}{2}) - 𝛎)}

Go Internal diameter of thin cylindrical vessel given circumferential strain

D i = \frac{e 1 \cdot (2 \cdot t \cdot E)}{((P i)) \cdot ((\frac{1}{2}) - 𝛎)}

How to Evaluate Length of cylindrical shell given change in volume of cylindrical shell?

Length of cylindrical shell given change in volume of cylindrical shell evaluator uses Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter) to evaluate the Length Of Cylindrical Shell, The Length of cylindrical shell given change in volume of cylindrical shell formula is defined as the measurement or extent of something from end to end. Length Of Cylindrical Shell is denoted by L_cylinder symbol.

How to evaluate Length of cylindrical shell given change in volume of cylindrical shell using this online evaluator? To use this online evaluator for Length of cylindrical shell given change in volume of cylindrical shell, enter Change in Volume (∆V), Change in Length (ΔL), Diameter of Shell (D) & Change in Diameter (∆d) and hit the calculate button.

FAQs on Length of cylindrical shell given change in volume of cylindrical shell

What is the formula to find Length of cylindrical shell given change in volume of cylindrical shell?

The formula of Length of cylindrical shell given change in volume of cylindrical shell is expressed as Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter). Here is an example- 3E+8 = ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*0.0505).

How to calculate Length of cylindrical shell given change in volume of cylindrical shell?

With Change in Volume (∆V), Change in Length (ΔL), Diameter of Shell (D) & Change in Diameter (∆d) we can find Length of cylindrical shell given change in volume of cylindrical shell using the formula - Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter). This formula also uses Archimedes' constant .

What are the other ways to Calculate Length Of Cylindrical Shell?

Here are the different ways to Calculate Length Of Cylindrical Shell-

Length Of Cylindrical Shell=(Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio))
Length Of Cylindrical Shell=Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))

Can the Length of cylindrical shell given change in volume of cylindrical shell be negative?

No, the Length of cylindrical shell given change in volume of cylindrical shell, measured in Length cannot be negative.

Which unit is used to measure Length of cylindrical shell given change in volume of cylindrical shell?

Length of cylindrical shell given change in volume of cylindrical shell is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of cylindrical shell given change in volume of cylindrical shell can be measured.

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Length of cylindrical shell given change in volume of cylindrical shell Formula

​GoLength of cylindrical shell given change in length of cylindrical shell Formula

​GoLength of thin cylindrical strain given volumetric strain Formula

Length of cylindrical shell given change in volume of cylindrical shell Example

Length of cylindrical shell given change in volume of cylindrical shell Solution

Length of cylindrical shell given change in volume of cylindrical shell Formula Elements

Other Formulas to find Length Of Cylindrical Shell

Other formulas in Stress and Strain category

How to Evaluate Length of cylindrical shell given change in volume of cylindrical shell?

FAQs on Length of cylindrical shell given change in volume of cylindrical shell

Variable Name

GoLength of cylindrical shell given change in length of cylindrical shell Formula

GoLength of thin cylindrical strain given volumetric strain Formula