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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

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Density of disc typically refers to the mass per unit volume of the disc material. It is a measure of how much mass is contained in a given volume of the 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

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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}))})

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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 typically refers to the mass per unit volume of the disc material. It is a measure of how much mass is contained in a given volume of the disc.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Of Disc

Radial Stress

Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.

Symbol: σ_r

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Radial Stress

Angular Velocity

Angular velocity is a measure of how quickly an object rotates or revolves around a central point or axis, describes the rate of change of the angular position of the object with respect to 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 a measure of the deformation of a material in directions perpendicular to the direction of loading. It is defined as the negative ratio of transverse strain to axial strain.

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 distance from the center of the disc to its outer edge or boundary.

Symbol: r_outer

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Radius Disc

Radius of Element

Radius of element often referred to as the atomic radius, is a measure of the size of an atom, typically defined as the distance from the center of the nucleus to the outermost shell of electrons.

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.

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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