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

GoDensity of material of cylinder given hoop stress and tangential velocity Formula

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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. Check FAQs

ρ = \frac{σ θ}{ω \cdot r disc}

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

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

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Here is how the Density of cylinder material given hoop stress (for thin cylinder) equation looks like with Values.

Here is how the Density of cylinder material given hoop stress (for thin cylinder) equation looks like with Units.

Here is how the Density of cylinder material given hoop stress (for thin cylinder) equation looks like.

1.6071 = \frac{18}{11.2 \cdot 1000}

1.6071kg/m³ = \frac{18N/m²}{11.2rad/s \cdot 1000mm}

1.6071 = \frac{18}{11.2 \cdot 1000}

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

Follow our step by step solution on how to calculate Density of cylinder material given hoop stress (for thin cylinder)?

FIRST Step Consider the formula

ρ = \frac{σ θ}{ω \cdot r disc}

Next Step Substitute values of Variables

∴

ρ = \frac{18N/m²}{11.2rad/s \cdot 1000mm}

Next Step Convert Units

∴

ρ = \frac{18Pa}{11.2rad/s \cdot 1m}

Next Step Prepare to Evaluate

∴

ρ = \frac{18}{11.2 \cdot 1}

Next Step Evaluate

∴

ρ = 1.60714285714286kg/m³

LAST Step Rounding Answer

∴

ρ = 1.6071kg/m³

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

Variables

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

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

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

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

Other Formulas to find Density Of Disc

Go Density of material of cylinder given hoop stress and tangential velocity

ρ = \frac{σ θ}{v t}

Other formulas in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

Go Mean radius of cylinder given hoop stress in thin cylinder

r disc = \frac{σ θ}{ρ \cdot ω}

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

Density of cylinder material given hoop stress (for thin cylinder) evaluator uses Density of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius) to evaluate the Density Of Disc, Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a relationship that connects the material density to the hoop stress and angular velocity, providing insights into the mechanical properties of rotating thin cylinders. Density Of Disc is denoted by ρ symbol.

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

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

What is the formula to find Density of cylinder material given hoop stress (for thin cylinder)?

The formula of Density of cylinder material given hoop stress (for thin cylinder) is expressed as Density of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius). Here is an example- 1.607143 = 18/(11.2*1).

How to calculate Density of cylinder material given hoop stress (for thin cylinder)?

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

What are the other ways to Calculate Density Of Disc?

Here are the different ways to Calculate Density Of Disc-

Density of Disc=Hoop Stress in Disc/Tangential Velocity

Can the Density of cylinder material given hoop stress (for thin cylinder) be negative?

No, the Density of cylinder material given hoop stress (for thin cylinder), measured in Density cannot be negative.

Which unit is used to measure Density of cylinder material given hoop stress (for thin cylinder)?

Density of cylinder material given hoop stress (for thin cylinder) is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of cylinder material given hoop stress (for thin cylinder) can be measured.

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

​GoDensity of material of cylinder given hoop stress and tangential velocity Formula

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

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

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

Other Formulas to find Density Of Disc

Other formulas in Relation of Parameters category

How to Evaluate Density of cylinder material given hoop stress (for thin cylinder)?

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

Variable Name

GoDensity of material of cylinder given hoop stress and tangential velocity Formula