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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=(8σr(ω2)(3+𝛎)(router2))
ρ - Density Of Disc?σr - Radial Stress?ω - Angular Velocity?𝛎 - Poisson's Ratio?router - Outer Radius Disc?

Density of material given maximum radial stress in solid disc Example

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Here is how the Density of material given maximum radial stress in solid disc equation looks like with Values.

Here is how the Density of material given maximum radial stress in solid disc equation looks like with Units.

Here is how the Density of material given maximum radial stress in solid disc equation looks like.

2.3859Edit=(8100Edit(11.2Edit2)(3+0.3Edit)(900Edit2))
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Density of material given maximum radial stress in solid disc Solution

Follow our step by step solution on how to calculate Density of material given maximum radial stress in solid disc?

FIRST Step Consider the formula
ρ=(8σr(ω2)(3+𝛎)(router2))
Next Step Substitute values of Variables
ρ=(8100N/m²(11.2rad/s2)(3+0.3)(900mm2))
Next Step Convert Units
ρ=(8100Pa(11.2rad/s2)(3+0.3)(0.9m2))
Next Step Prepare to Evaluate
ρ=(8100(11.22)(3+0.3)(0.92))
Next Step Evaluate
ρ=2.38591508432778kg/m³
LAST Step Rounding Answer
ρ=2.3859kg/m³

Density of material given maximum radial stress in solid disc 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.
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: σr
Measurement: PressureUnit: N/m²
Note: Value should be greater than 0.
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.
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.
Outer Radius Disc
Outer radius disc is the distance from the center of the disc to its outer edge or boundary.
Symbol: router
Measurement: LengthUnit: mm
Note: Value can be positive or negative.

Other Formulas to find Density Of Disc

​Go Density of disc material given Radial stress in solid disc and outer radius
ρ=(8σr(ω2)(3+𝛎)((router2)-(R2)))
​Go Density of material given Circumferential stress at center of solid disc
ρ=(8σc(ω2)(3+𝛎)(router2))
​Go Density of material given constant at boundary condition for circular disc
ρ=8C1(ω2)(router2)(3+𝛎)
​Go Density of material given Circumferential stress in solid disc
ρ=((C12)-σc)8(ω2)(rdisc2)((3𝛎)+1)

How to Evaluate Density of material given maximum radial stress in solid disc?

Density of material given maximum radial stress in solid disc evaluator uses Density Of Disc = ((8*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*(Outer Radius Disc^2))) to evaluate the Density Of Disc, The Density of material given maximum radial stress in solid disc 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 material given maximum radial stress in solid disc using this online evaluator? To use this online evaluator for Density of material given maximum radial stress in solid disc, enter Radial Stress r), Angular Velocity (ω), Poisson's Ratio (𝛎) & Outer Radius Disc (router) and hit the calculate button.

FAQs on Density of material given maximum radial stress in solid disc

What is the formula to find Density of material given maximum radial stress in solid disc?
The formula of Density of material given maximum radial stress in solid disc is expressed as Density Of Disc = ((8*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*(Outer Radius Disc^2))). Here is an example- 2.385915 = ((8*100)/((11.2^2)*(3+0.3)*(0.9^2))).
How to calculate Density of material given maximum radial stress in solid disc?
With Radial Stress r), Angular Velocity (ω), Poisson's Ratio (𝛎) & Outer Radius Disc (router) we can find Density of material given maximum radial stress in solid disc using the formula - Density Of Disc = ((8*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*(Outer Radius Disc^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*Radial Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*((Outer Radius Disc^2)-(Radius of Element^2))))OpenImg
  • Density Of Disc=((8*Circumferential Stress)/((Angular Velocity^2)*(3+Poisson's Ratio)*(Outer Radius Disc^2)))OpenImg
  • Density Of Disc=(8*Constant at Boundary Condition)/((Angular Velocity^2)*(Outer Radius Disc^2)*(3+Poisson's Ratio))OpenImg
Can the Density of material given maximum radial stress in solid disc be negative?
No, the Density of material given maximum radial stress in solid disc, measured in Density cannot be negative.
Which unit is used to measure Density of material given maximum radial stress in solid disc?
Density of material given maximum radial stress in solid disc 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 material given maximum radial stress in solid disc can be measured.
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