Density of cylinder material given hoop stress (for thin cylinder) Calculator

✖Hoop stress in disc is the stress that acts along the circumference of a disc, particularly when it is subjected to internal or external forces.ⓘ Hoop Stress in Disc [σ_θ]			+10% -10%
✖Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of disc is the distance from the center of the disc to any point on its edge (circumference).ⓘ Radius of Disc [r_disc]			+10% -10%

✖Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.ⓘ Density of cylinder material given hoop stress (for thin cylinder) [ρ]

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Density of cylinder material given hoop stress (for thin cylinder) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)
ρ = σ_θ/(ω*r_disc)
This formula uses 4 Variables

Variables Used

Density of Disc - (Measured in Kilogram per Cubic Meter) - Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.
Hoop Stress in Disc - (Measured in Pascal) - Hoop stress in disc is the stress that acts along the circumference of a disc, particularly when it is subjected to internal or external forces.
Angular Velocity - (Measured in Radian per Second) - Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time.
Radius of Disc - (Measured in Meter) - Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

STEP 1: Convert Input(s) to Base Unit

Hoop Stress in Disc: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Radius of Disc: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = σ_θ/(ω*r_disc) --> 18/(11.2*1)

Evaluating ... ...

ρ = 1.60714285714286

STEP 3: Convert Result to Output's Unit

1.60714285714286 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.60714285714286 ≈ 1.607143 Kilogram per Cubic Meter <-- Density of Disc

(Calculation completed in 00.004 seconds)

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

Go Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc)

Density of cylinder material given hoop stress (for thin cylinder)

Go Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)

Mean radius of cylinder given hoop stress in thin cylinder

Go Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity)

Hoop stress in thin cylinder

Go Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

Density of cylinder material given hoop stress (for thin cylinder) Formula

Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)
ρ = σ_θ/(ω*r_disc)

What is the allowable stress?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

How to Calculate Density of cylinder material given hoop stress (for thin cylinder)?

Density of cylinder material given hoop stress (for thin cylinder) calculator uses Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc) to calculate the Density of Disc, Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a relationship that connects the material density to the hoop stress and angular velocity, providing insights into the mechanical properties of rotating thin cylinders. Density of Disc is denoted by ρ symbol.

How to calculate Density of cylinder material given hoop stress (for thin cylinder) using this online calculator? To use this online calculator for Density of cylinder material given hoop stress (for thin cylinder), enter Hoop Stress in Disc (σ_θ), Angular Velocity (ω) & Radius of Disc (r_disc) and hit the calculate button. Here is how the Density of cylinder material given hoop stress (for thin cylinder) calculation can be explained with given input values -> 1.607143 = 18/(11.2*1).

FAQ

What is Density of cylinder material given hoop stress (for thin cylinder)?

Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a relationship that connects the material density to the hoop stress and angular velocity, providing insights into the mechanical properties of rotating thin cylinders and is represented as ρ = σ_θ/(ω*r_disc) or Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc). Hoop stress in disc is the stress that acts along the circumference of a disc, particularly when it is subjected to internal or external forces, Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time & Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

How to calculate Density of cylinder material given hoop stress (for thin cylinder)?

Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a relationship that connects the material density to the hoop stress and angular velocity, providing insights into the mechanical properties of rotating thin cylinders is calculated using Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc). To calculate Density of cylinder material given hoop stress (for thin cylinder), you need Hoop Stress in Disc (σ_θ), Angular Velocity (ω) & Radius of Disc (r_disc). With our tool, you need to enter the respective value for Hoop Stress in Disc, Angular Velocity & Radius of Disc 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 Density of Disc?

In this formula, Density of Disc uses Hoop Stress in Disc, Angular Velocity & Radius of Disc. We can use 1 other way(s) to calculate the same, which is/are as follows -

Density of Disc = Hoop Stress in Disc/Tangential Velocity

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