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Disc radius is the distance from the center of the disc to any point on its circumference. Check FAQs
rdisc=((C12)-σc)8ρ(ω2)((3𝛎)+1)
rdisc - Disc Radius?C1 - Constant at Boundary Condition?σc - Circumferential Stress?ρ - Density Of Disc?ω - Angular Velocity?𝛎 - Poisson's Ratio?

Radius of disc given Circumferential stress in solid disc Example

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With units
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Here is how the Radius of disc given Circumferential stress in solid disc equation looks like with Values.

Here is how the Radius of disc given Circumferential stress in solid disc equation looks like with Units.

Here is how the Radius of disc given Circumferential stress in solid disc equation looks like.

916.0521Edit=((300Edit2)-100Edit)82Edit(11.2Edit2)((30.3Edit)+1)
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Radius of disc given Circumferential stress in solid disc Solution

Follow our step by step solution on how to calculate Radius of disc given Circumferential stress in solid disc?

FIRST Step Consider the formula
rdisc=((C12)-σc)8ρ(ω2)((3𝛎)+1)
Next Step Substitute values of Variables
rdisc=((3002)-100N/m²)82kg/m³(11.2rad/s2)((30.3)+1)
Next Step Convert Units
rdisc=((3002)-100Pa)82kg/m³(11.2rad/s2)((30.3)+1)
Next Step Prepare to Evaluate
rdisc=((3002)-100)82(11.22)((30.3)+1)
Next Step Evaluate
rdisc=0.916052100076031m
Next Step Convert to Output's Unit
rdisc=916.052100076031mm
LAST Step Rounding Answer
rdisc=916.0521mm

Radius of disc given Circumferential stress in solid disc Formula Elements

Variables
Functions
Disc Radius
Disc radius is the distance from the center of the disc to any point on its circumference.
Symbol: rdisc
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Constant at Boundary Condition
Constant at boundary condition is a type of boundary condition used in mathematical and physical problems where a specific variable is held constant along the boundary of the domain.
Symbol: C1
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Circumferential Stress
Circumferential stress, also known as hoop stress, is a type of normal stress that acts tangentially to the circumference of a cylindrical or spherical object.
Symbol: σc
Measurement: StressUnit: N/m²
Note: Value should be greater than 0.
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.
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.
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Disc Radius

​Go Radius of Circular disc given Radial stress in solid disc
rdisc=((C12)-σr)8ρ(ω2)(3+𝛎)

Other formulas in Radius of Disc category

​Go Disc outer radius given Radial stress in solid disc
router=(8σrρ(ω2)(3+𝛎))+(R2)
​Go Outer radius of disc given Circumferential stress
router=8σc(ρ(ω2))((1+(3𝛎)R2))3+𝛎
​Go Outer radius of disc given Constant at boundary condition for circular disc
router=8C1ρ(ω2)(3+𝛎)
​Go Outer radius of disc given max circumferential stress in solid disc
router=8σcρ(ω2)(3+𝛎)

How to Evaluate Radius of disc given Circumferential stress in solid disc?

Radius of disc given Circumferential stress in solid disc evaluator uses Disc Radius = sqrt((((Constant at Boundary Condition/2)-Circumferential Stress)*8)/(Density Of Disc*(Angular Velocity^2)*((3*Poisson's Ratio)+1))) to evaluate the Disc Radius, The Radius of disc given Circumferential stress in solid disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Disc Radius is denoted by rdisc symbol.

How to evaluate Radius of disc given Circumferential stress in solid disc using this online evaluator? To use this online evaluator for Radius of disc given Circumferential stress in solid disc, enter Constant at Boundary Condition (C1), Circumferential Stress c), Density Of Disc (ρ), Angular Velocity (ω) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Radius of disc given Circumferential stress in solid disc

What is the formula to find Radius of disc given Circumferential stress in solid disc?
The formula of Radius of disc given Circumferential stress in solid disc is expressed as Disc Radius = sqrt((((Constant at Boundary Condition/2)-Circumferential Stress)*8)/(Density Of Disc*(Angular Velocity^2)*((3*Poisson's Ratio)+1))). Here is an example- 916052.1 = sqrt((((300/2)-100)*8)/(2*(11.2^2)*((3*0.3)+1))).
How to calculate Radius of disc given Circumferential stress in solid disc?
With Constant at Boundary Condition (C1), Circumferential Stress c), Density Of Disc (ρ), Angular Velocity (ω) & Poisson's Ratio (𝛎) we can find Radius of disc given Circumferential stress in solid disc using the formula - Disc Radius = sqrt((((Constant at Boundary Condition/2)-Circumferential Stress)*8)/(Density Of Disc*(Angular Velocity^2)*((3*Poisson's Ratio)+1))). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Disc Radius?
Here are the different ways to Calculate Disc Radius-
  • Disc Radius=sqrt((((Constant at Boundary Condition/2)-Radial Stress)*8)/(Density Of Disc*(Angular Velocity^2)*(3+Poisson's Ratio)))OpenImg
Can the Radius of disc given Circumferential stress in solid disc be negative?
No, the Radius of disc given Circumferential stress in solid disc, measured in Length cannot be negative.
Which unit is used to measure Radius of disc given Circumferential stress in solid disc?
Radius of disc given Circumferential stress in solid disc is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of disc given Circumferential stress in solid disc can be measured.
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