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## Credits

National Institute Of Technology (NIT), Hamirpur
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## Angular velocity of the disc in terms of radial stress in a solid disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
ω = sqrt((((C1/2)-fr)*8)/(ρ*(r^2)*(3+𝛎)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Constant at boundary condition- Constant at boundary condition is value obtained for stress in solid disc.
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)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
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.
STEP 1: Convert Input(s) to Base Unit
Constant at boundary condition: 5 --> No Conversion Required
Radial Stress: 100 Pascal --> 100 Pascal No Conversion Required
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
Poisson's ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = sqrt((((C1/2)-fr)*8)/(ρ*(r^2)*(3+𝛎))) --> sqrt((((5/2)-100)*8)/(997*(0.18^2)*(3+0.3)))
Evaluating ... ...
ω = NaN
STEP 3: Convert Result to Output's Unit
NaN --> No Conversion Required
NaN <-- Angular velocity
(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

### Angular velocity of the disc in terms of radial stress in a solid disc Formula

ω = sqrt((((C1/2)-fr)*8)/(ρ*(r^2)*(3+𝛎)))

## 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 Angular velocity of the disc in terms of radial stress in a solid disc?

Angular velocity of the disc in terms of radial stress in a solid disc calculator uses angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Radius^2)*(3+Poisson's ratio))) to calculate the Angular velocity, The Angular velocity of the disc in terms of radial stress in a solid disc formula is defined as a pseudovector, with its magnitude measuring the angular speed, the rate at which an object rotates or revolves. Angular velocity and is denoted by ω symbol.

How to calculate Angular velocity of the disc in terms of radial stress in a solid disc using this online calculator? To use this online calculator for Angular velocity of the disc in terms of radial stress in a solid disc, enter Constant at boundary condition (C1), Radial Stress (fr), Density (ρ), Radius (r) and Poisson's ratio (𝛎) and hit the calculate button. Here is how the Angular velocity of the disc in terms of radial stress in a solid disc calculation can be explained with given input values -> NaN = sqrt((((5/2)-100)*8)/(997*(0.18^2)*(3+0.3))).

### FAQ

What is Angular velocity of the disc in terms of radial stress in a solid disc?
The Angular velocity of the disc in terms of radial stress in a solid disc formula is defined as a pseudovector, with its magnitude measuring the angular speed, the rate at which an object rotates or revolves and is represented as ω = sqrt((((C1/2)-fr)*8)/(ρ*(r^2)*(3+𝛎))) or angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Radius^2)*(3+Poisson's ratio))). Constant at boundary condition is value obtained for stress in solid disc, 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, Radius is a radial line from the focus to any point of a curve and 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.
How to calculate Angular velocity of the disc in terms of radial stress in a solid disc?
The Angular velocity of the disc in terms of radial stress in a solid disc formula is defined as a pseudovector, with its magnitude measuring the angular speed, the rate at which an object rotates or revolves is calculated using angular_velocity_1 = sqrt((((Constant at boundary condition/2)-Radial Stress)*8)/(Density*(Radius^2)*(3+Poisson's ratio))). To calculate Angular velocity of the disc in terms of radial stress in a solid disc, you need Constant at boundary condition (C1), Radial Stress (fr), Density (ρ), Radius (r) and Poisson's ratio (𝛎). With our tool, you need to enter the respective value for Constant at boundary condition, Radial Stress, Density, Radius and Poisson's ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angular velocity?
In this formula, Angular velocity uses Constant at boundary condition, Radial Stress, Density, Radius and Poisson's ratio. We can use 10 other way(s) to calculate the same, which is/are as follows -