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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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Radius of disc is the distance from the center of the disc to any point on its edge (circumference). Check FAQs

r disc = \frac{σ θ}{ρ \cdot ω}

r_disc - Radius of Disc?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

Radius of Disc

Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

Symbol: r_disc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Disc

Hoop Stress in Disc

Hoop stress in disc is the stress that acts along the circumference of a disc, particularly when it is subjected to internal or external forces.

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 refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Disc

Angular Velocity

Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Other Formulas to find Radius of Disc

Go Radius of disc given circumferential strain for rotating thin disc

r disc = \frac{ΔR}{e 1}

Go Radius of disc given stresses on disc

r disc = \frac{ΔR}{\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 Radius of Disc, 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. Radius of Disc 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 Radius of Disc?

Here are the different ways to Calculate Radius of Disc-

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 Radius of Disc

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