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## Disc outer radius in terms of radial stress in a solid disc and outer radius of the disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
R = sqrt(((8*fr)/(ρ*(ω^2)*(3+𝛎)))+(r^2))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radial Stress - Radial Stress induced by a bending moment in a member of constant cross section. (Measured in Pascal)
Density - The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. (Measured in Kilogram per Meter³)
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. (Measured in Radian per Second)
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 0.25 and 0.35.
Radius of element - Radius of element is the radius of the element considered in the disc at radius r from the center. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Radial Stress: 100 Pascal --> 100 Pascal No Conversion Required
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Angular Velocity: 20 Radian per Second --> 20 Radian per Second No Conversion Required
Poisson's ratio: 0.3 --> No Conversion Required
Radius of element: 5 Millimeter --> 0.005 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = sqrt(((8*fr)/(ρ*(ω^2)*(3+𝛎)))+(r^2)) --> sqrt(((8*100)/(997*(20^2)*(3+0.3)))+(0.005^2))
Evaluating ... ...
R = 0.0251571909965544
STEP 3: Convert Result to Output's Unit
0.0251571909965544 Meter -->2.51571909965544 Centimeter (Check conversion here)
(Calculation completed in 00.016 seconds)

## < 10+ Expression For Stresses In A Solid Disc Calculators

Angular velocity of disc in terms of circumferential stress in a solid disc
angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Circumferential stress)*8)/(Density*(Radius^2)*((3*Poisson's ratio)+1))) Go
Angular velocity of the disc in terms of radial stress in a solid disc
Radius of the disc in terms of radial stress in a solid disc
Density of material in terms of circumferential stress in a solid disc
density = (((Constant at boundary condition/2)-Circumferential stress)*8)/((Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1)) Go
Constant at boundary condition in terms of circumferential stress in a solid disc
constant_at_boundary_condition = 2*(Circumferential stress+((Density*(Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))/8)) Go
Circumferential stress in a solid disc
circumferential_stress = (Constant at boundary condition/2)-((Density*(Angular velocity^2)*(Radius^2)*((3*Poisson's ratio)+1))/8) Go
Density of material in terms of radial stress in a solid disc
Poisson's ratio in terms of radial stress in a solid disc
Constant at boundary condition in terms of radial stress in a solid disc
Radial stress in a solid disc

### Disc outer radius in terms of radial stress in a solid disc and outer radius of the disc Formula

R = sqrt(((8*fr)/(ρ*(ω^2)*(3+𝛎)))+(r^2))

## What is radial and tangential stress?

The “Hoop Stress” or “Tangential Stress” acts on a line perpendicular to the “longitudinal “and the “radial stress” this stress attempts to separate the pipe wall in the circumferential direction. This stress is caused by internal pressure.

## How to Calculate Disc outer radius in terms of radial stress in a solid disc and outer radius of the disc?

### FAQ

What is Disc outer radius in terms of radial stress in a solid disc and outer radius of the disc?
The Disc outer radius in terms of radial stress in a solid disc and outer radius of the disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R = sqrt(((8*fr)/(ρ*(ω^2)*(3+𝛎)))+(r^2)) or outer_radius = sqrt(((8*Radial Stress)/(Density*(Angular Velocity^2)*(3+Poisson's ratio)))+(Radius of element^2)). Radial Stress induced by a bending moment in a member of constant cross section, The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, 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, 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 0.25 and 0.35 and Radius of element is the radius of the element considered in the disc at radius r from the center.
How to calculate Disc outer radius in terms of radial stress in a solid disc and outer radius of the disc?
How many ways are there to calculate Outer Radius?
In this formula, Outer Radius uses Radial Stress, Density, Angular Velocity, Poisson's ratio and Radius of element. We can use 10 other way(s) to calculate the same, which is/are as follows -