FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

Fx Copy

LaTeX Copy

Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout. 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 - Radius of Disc?

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

With values

With units

Only example

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}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Density of cylinder material given hoop stress (for thin cylinder)

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 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

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

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

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

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*Radius of Disc) 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) & Radius of Disc (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*Radius of Disc). 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) & Radius of Disc (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*Radius of Disc).

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.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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