FormulaDen.com

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

Density of disc material given Radial stress in solid disc and outer radius Formula

GoDensity of material given Circumferential stress at center of solid disc Formula

GoDensity of material given constant at boundary condition for circular disc Formula

Fx Copy

LaTeX Copy

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{8 \cdot σ r}{(ω^{2}) \cdot (3 + 𝛎) \cdot (({r outer}^{2}) - (r^{2}))})

ρ - Density Of Disc?σ_r - Radial Stress?ω - Angular Velocity?𝛎 - Poisson's Ratio?r_outer - Outer Radius Disc?r - Radius of Element?

Density of disc material given Radial stress in solid disc and outer radius Example

With values

With units

Only example

Here is how the Density of disc material given Radial stress in solid disc and outer radius equation looks like with Values.

Here is how the Density of disc material given Radial stress in solid disc and outer radius equation looks like with Units.

Here is how the Density of disc material given Radial stress in solid disc and outer radius equation looks like.

2.386 = (\frac{8 \cdot 100}{({11.2}^{2}) \cdot (3 + 0.3) \cdot ((900^{2}) - (5^{2}))})

2.386kg/m³ = (\frac{8 \cdot 100N/m²}{({11.2rad/s}^{2}) \cdot (3 + 0.3) \cdot (({900mm}^{2}) - ({5mm}^{2}))})

2.386 = (\frac{8 \cdot 100}{({11.2}^{2}) \cdot (3 + 0.3) \cdot ((900^{2}) - (5^{2}))})

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 disc material given Radial stress in solid disc and outer radius

Density of disc material given Radial stress in solid disc and outer radius Solution

Follow our step by step solution on how to calculate Density of disc material given Radial stress in solid disc and outer radius?

FIRST Step Consider the formula

ρ = (\frac{8 \cdot σ r}{(ω^{2}) \cdot (3 + 𝛎) \cdot (({r outer}^{2}) - (r^{2}))})

Next Step Substitute values of Variables

∴

ρ = (\frac{8 \cdot 100N/m²}{({11.2rad/s}^{2}) \cdot (3 + 0.3) \cdot (({900mm}^{2}) - ({5mm}^{2}))})

Next Step Convert Units

∴

ρ = (\frac{8 \cdot 100Pa}{({11.2rad/s}^{2}) \cdot (3 + 0.3) \cdot (({0.9m}^{2}) - ({0.005m}^{2}))})

Next Step Prepare to Evaluate

∴

ρ = (\frac{8 \cdot 100}{({11.2}^{2}) \cdot (3 + 0.3) \cdot (({0.9}^{2}) - ({0.005}^{2}))})

Next Step Evaluate

∴

ρ = 2.38598872595513kg/m³

LAST Step Rounding Answer

∴

ρ = 2.386kg/m³

Density of disc material given Radial stress in solid disc and outer radius 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

Radial Stress

Radial Stress induced by a bending moment in a member of constant cross section.

Symbol: σ_r

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Radial Stress

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

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 10.

Formulas to find Poisson's Ratio

Outer Radius Disc

Outer Radius Disc is the radius of the larger of the two concentric circles that form its boundary.

Symbol: r_outer

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Radius Disc

Radius of Element

The Radius of Element is the radius of the element considered in the disc at radius r from the centre.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Element

Other Formulas to find Density Of Disc

Go Density of material given Circumferential stress at center of solid disc

ρ = (\frac{8 \cdot σ c}{(ω^{2}) \cdot (3 + 𝛎) \cdot ({r outer}^{2})})

Go Density of material given constant at boundary condition for circular disc

ρ = \frac{8 \cdot C 1}{(ω^{2}) \cdot ({r outer}^{2}) \cdot (3 + 𝛎)}

Go Density of material given Circumferential stress in solid disc

ρ = \frac{((\frac{C 1}{2}) - σ c) \cdot 8}{(ω^{2}) \cdot ({r disc}^{2}) \cdot ((3 \cdot 𝛎) + 1)}

Go Density of material given Circumferential stress and Outer radius

ρ = (\frac{8 \cdot σ c}{((ω^{2})) \cdot (((3 + 𝛎) \cdot {r outer}^{2}) - (1 + (3 \cdot 𝛎) \cdot r^{2}))})

How to Evaluate Density of disc material given Radial stress in solid disc and outer radius?

Density of disc material given Radial stress in solid disc and outer radius evaluator uses Density Of Disc = ((8*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*((Outer Radius Disc^2)-(Radius of Element^2)))) to evaluate the Density Of Disc, The Density of disc material given Radial stress in solid disc and outer radius formula is defined as a measure of mass per volume. An object made from a comparatively dense material (such as iron) will have less volume than an object of equal mass made from some less dense substance (such as water). Density Of Disc is denoted by ρ symbol.

How to evaluate Density of disc material given Radial stress in solid disc and outer radius using this online evaluator? To use this online evaluator for Density of disc material given Radial stress in solid disc and outer radius, enter Radial Stress (σ_r), Angular Velocity (ω), Poisson's Ratio (𝛎), Outer Radius Disc (r_outer) & Radius of Element (r) and hit the calculate button.

FAQs on Density of disc material given Radial stress in solid disc and outer radius

What is the formula to find Density of disc material given Radial stress in solid disc and outer radius?

The formula of Density of disc material given Radial stress in solid disc and outer radius is expressed as Density Of Disc = ((8*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*((Outer Radius Disc^2)-(Radius of Element^2)))). Here is an example- 2.385989 = ((8*100)/((11.2^2)*(3+0.3)*((0.9^2)-(0.005^2)))).

How to calculate Density of disc material given Radial stress in solid disc and outer radius?

With Radial Stress (σ_r), Angular Velocity (ω), Poisson's Ratio (𝛎), Outer Radius Disc (r_outer) & Radius of Element (r) we can find Density of disc material given Radial stress in solid disc and outer radius using the formula - Density Of Disc = ((8*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*((Outer Radius Disc^2)-(Radius of Element^2)))).

What are the other ways to Calculate Density Of Disc?

Here are the different ways to Calculate Density Of Disc-

Density Of Disc=((8*Circumferential Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*(Outer Radius Disc^2)))
Density Of Disc=(8*Constant at boundary condition)/((Angular Velocity^2)*(Outer Radius Disc^2)*(3+Poisson's Ratio))
Density Of Disc=(((Constant at boundary condition/2)-Circumferential Stress)*8)/((Angular Velocity^2)*(Disc Radius^2)*((3*Poisson's Ratio)+1))

Can the Density of disc material given Radial stress in solid disc and outer radius be negative?

No, the Density of disc material given Radial stress in solid disc and outer radius, measured in Density cannot be negative.

Which unit is used to measure Density of disc material given Radial stress in solid disc and outer radius?

Density of disc material given Radial stress in solid disc and outer radius 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 disc material given Radial stress in solid disc and outer radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Density of disc material given Radial stress in solid disc and outer radius Formula

​GoDensity of material given Circumferential stress at center of solid disc Formula

​GoDensity of material given constant at boundary condition for circular disc Formula

Density of disc material given Radial stress in solid disc and outer radius Example

Density of disc material given Radial stress in solid disc and outer radius Solution

Density of disc material given Radial stress in solid disc and outer radius Formula Elements

Other Formulas to find Density Of Disc

How to Evaluate Density of disc material given Radial stress in solid disc and outer radius?

FAQs on Density of disc material given Radial stress in solid disc and outer radius

Variable Name

GoDensity of material given Circumferential stress at center of solid disc Formula

GoDensity of material given constant at boundary condition for circular disc Formula