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## Angular velocity of disc in terms of constant at boundary condition for circular disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
angular_velocity_1 = sqrt((8*Constant at boundary condition)/(Density*(Outer Radius^2)*(3+Poisson's ratio)))
ω = sqrt((8*C1)/(ρ*(R^2)*(3+𝛎)))
This formula uses 1 Functions, 4 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.
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)
Outer Radius - Outer Radius is the radius of the larger of the two concentric circles that form its boundary. (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
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Outer Radius: 10 Centimeter --> 0.1 Meter (Check conversion here)
Poisson's ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = sqrt((8*C1)/(ρ*(R^2)*(3+𝛎))) --> sqrt((8*5)/(997*(0.1^2)*(3+0.3)))
Evaluating ... ...
ω = 1.10261893584059
STEP 3: Convert Result to Output's Unit
1.10261893584059 --> No Conversion Required
1.10261893584059 <-- 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 disc in terms of constant at boundary condition for circular disc Formula

angular_velocity_1 = sqrt((8*Constant at boundary condition)/(Density*(Outer Radius^2)*(3+Poisson's ratio)))
ω = sqrt((8*C1)/(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 disc in terms of constant at boundary condition for circular disc?

Angular velocity of disc in terms of constant at boundary condition for circular disc calculator uses angular_velocity_1 = sqrt((8*Constant at boundary condition)/(Density*(Outer Radius^2)*(3+Poisson's ratio))) to calculate the Angular velocity, The Angular velocity of disc in terms of constant at boundary condition for circular 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 disc in terms of constant at boundary condition for circular disc using this online calculator? To use this online calculator for Angular velocity of disc in terms of constant at boundary condition for circular disc, enter Constant at boundary condition (C1), Density (ρ), Outer Radius (R) and Poisson's ratio (𝛎) and hit the calculate button. Here is how the Angular velocity of disc in terms of constant at boundary condition for circular disc calculation can be explained with given input values -> 1.102619 = sqrt((8*5)/(997*(0.1^2)*(3+0.3))).

### FAQ

What is Angular velocity of disc in terms of constant at boundary condition for circular disc?
The Angular velocity of disc in terms of constant at boundary condition for circular 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((8*C1)/(ρ*(R^2)*(3+𝛎))) or angular_velocity_1 = sqrt((8*Constant at boundary condition)/(Density*(Outer Radius^2)*(3+Poisson's ratio))). Constant at boundary condition is value obtained for stress in solid disc, 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, Outer Radius is the radius of the larger of the two concentric circles that form its boundary 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 disc in terms of constant at boundary condition for circular disc?
The Angular velocity of disc in terms of constant at boundary condition for circular 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((8*Constant at boundary condition)/(Density*(Outer Radius^2)*(3+Poisson's ratio))). To calculate Angular velocity of disc in terms of constant at boundary condition for circular disc, you need Constant at boundary condition (C1), Density (ρ), Outer Radius (R) and Poisson's ratio (𝛎). With our tool, you need to enter the respective value for Constant at boundary condition, Density, Outer 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, Density, Outer Radius and Poisson's ratio. We can use 10 other way(s) to calculate the same, which is/are as follows -