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Mean radius of cylinder given hoop stress in thin cylinder Formula

GoRadius of disc given circumferential strain for rotating thin disc Formula

GoRadius of disc given stresses on disc Formula

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Disc Radius is a radial line from the focus to any point of a curve. Check FAQs

r disc = \frac{σ θ}{ρ \cdot ω}

r_disc - Disc Radius?σ_θ - Hoop Stress in Disc?ρ - Density Of Disc?ω - Angular Velocity?

Mean radius of cylinder given hoop stress in thin cylinder Example

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Here is how the Mean radius of cylinder given hoop stress in thin cylinder equation looks like with Values.

Here is how the Mean radius of cylinder given hoop stress in thin cylinder equation looks like with Units.

Here is how the Mean radius of cylinder given hoop stress in thin cylinder equation looks like.

803.5714 = \frac{18}{2 \cdot 11.2}

803.5714mm = \frac{18N/m²}{2kg/m³ \cdot 11.2rad/s}

803.5714 = \frac{18}{2 \cdot 11.2}

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Strength of Materials » fx Mean radius of cylinder given hoop stress in thin cylinder

Mean radius of cylinder given hoop stress in thin cylinder Solution

Follow our step by step solution on how to calculate Mean radius of cylinder given hoop stress in thin cylinder?

FIRST Step Consider the formula

r disc = \frac{σ θ}{ρ \cdot ω}

Next Step Substitute values of Variables

∴

r disc = \frac{18N/m²}{2kg/m³ \cdot 11.2rad/s}

Next Step Convert Units

∴

r disc = \frac{18Pa}{2kg/m³ \cdot 11.2rad/s}

Next Step Prepare to Evaluate

∴

r disc = \frac{18}{2 \cdot 11.2}

Next Step Evaluate

∴

r disc = 0.803571428571429m

Next Step Convert to Output's Unit

∴

r disc = 803.571428571429mm

LAST Step Rounding Answer

∴

r disc = 803.5714mm

Mean radius of cylinder given hoop stress in thin cylinder Formula Elements

Variables

Disc Radius

Disc Radius is a radial line from the focus to any point of a curve.

Symbol: r_disc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Disc Radius

Hoop Stress in Disc

Hoop Stress in Disc is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Hoop Stress in Disc

Density Of Disc

Density Of Disc shows the denseness of disc in a specific given area. This is taken as mass per unit volume of a given disc.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Of Disc

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Other Formulas to find Disc Radius

Go Radius of disc given circumferential strain for rotating thin disc

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

Go Radius of disc given stresses on disc

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

Other formulas in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

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

ρ = \frac{σ θ}{ω \cdot r disc}

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

ω = \frac{σ θ}{ρ \cdot r disc}

Go Hoop stress in thin cylinder given tangential velocity of cylinder

σ θ = v t \cdot ρ

How to Evaluate Mean radius of cylinder given hoop stress in thin cylinder?

Mean radius of cylinder given hoop stress in thin cylinder evaluator uses Radius of Disc = Hoop Stress in Disc/(Density Of Disc*Angular Velocity) to evaluate the Disc Radius, Mean radius of cylinder given hoop stress in thin cylinder formula is defined as a relationship that describes the radius of a rotating thin cylinder based on the hoop stress, density, and angular velocity, ensuring structural integrity under rotational forces. Disc Radius is denoted by r_disc symbol.

How to evaluate Mean radius of cylinder given hoop stress in thin cylinder using this online evaluator? To use this online evaluator for Mean radius of cylinder given hoop stress in thin cylinder, enter Hoop Stress in Disc (σ_θ), Density Of Disc (ρ) & Angular Velocity (ω) and hit the calculate button.

FAQs on Mean radius of cylinder given hoop stress in thin cylinder

What is the formula to find Mean radius of cylinder given hoop stress in thin cylinder?

The formula of Mean radius of cylinder given hoop stress in thin cylinder is expressed as Radius of Disc = Hoop Stress in Disc/(Density Of Disc*Angular Velocity). Here is an example- 803571.4 = 18/(2*11.2).

How to calculate Mean radius of cylinder given hoop stress in thin cylinder?

With Hoop Stress in Disc (σ_θ), Density Of Disc (ρ) & Angular Velocity (ω) we can find Mean radius of cylinder given hoop stress in thin cylinder using the formula - Radius of Disc = Hoop Stress in Disc/(Density Of Disc*Angular Velocity).

What are the other ways to Calculate Disc Radius?

Here are the different ways to Calculate Disc Radius-

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

Can the Mean radius of cylinder given hoop stress in thin cylinder be negative?

No, the Mean radius of cylinder given hoop stress in thin cylinder, measured in Length cannot be negative.

Which unit is used to measure Mean radius of cylinder given hoop stress in thin cylinder?

Mean radius of cylinder given hoop stress in thin cylinder is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean radius of cylinder given hoop stress in thin cylinder can be measured.

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Mean radius of cylinder given hoop stress in thin cylinder Formula

​GoRadius of disc given circumferential strain for rotating thin disc Formula

​GoRadius of disc given stresses on disc Formula

Mean radius of cylinder given hoop stress in thin cylinder Example

Mean radius of cylinder given hoop stress in thin cylinder Solution

Mean radius of cylinder given hoop stress in thin cylinder Formula Elements

Other Formulas to find Disc Radius

Other formulas in Relation of Parameters category

How to Evaluate Mean radius of cylinder given hoop stress in thin cylinder?

FAQs on Mean radius of cylinder given hoop stress in thin cylinder

Variable Name

GoRadius of disc given circumferential strain for rotating thin disc Formula

GoRadius of disc given stresses on disc Formula