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

✖Hoop Stress in Disc is the circumferential stress in a cylinder.ⓘ Hoop Stress in Disc [σ_θ]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Disc Radius is a radial line from the focus to any point of a curve.ⓘ Disc Radius [r_disc]			+10% -10%

✖Density Of Disc shows the denseness of disc in a specific given area. This is taken as mass per unit volume of a given disc.ⓘ Density of cylinder material given hoop stress (for thin cylinder) [ρ]

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Formula

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

Formula

ρ = \frac{σ θ}{ω \cdot r disc}

Example

1.607143 kg/m³ = \frac{18 N/m²}{11.2 rad/s \cdot 1000 mm}

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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*Disc Radius)
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 shows the denseness of disc in a specific given area. This is taken as mass per unit volume of a given disc.
Hoop Stress in Disc - (Measured in Pascal) - Hoop Stress in Disc is the circumferential stress in a cylinder.
Angular Velocity - (Measured in Radian per Second) - 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.
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.

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
Disc Radius: 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 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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*Disc Radius)

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

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

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

Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius)
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*Disc Radius) to calculate the Density Of Disc, The Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a measure of mass per volume. The average density of an object equals its total mass divided by its total volume. 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) & Disc Radius (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 -> 1.267606 = 18/(11.2*1).

FAQ

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

The Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a measure of mass per volume. The average density of an object equals its total mass divided by its total volume and is represented as ρ = σ_θ/(ω*r_disc) or Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius). Hoop Stress in Disc is the circumferential stress in a cylinder, 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 & Disc Radius is a radial line from the focus to any point of a curve.

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

The Density of cylinder material given hoop stress (for thin cylinder) formula is defined as a measure of mass per volume. The average density of an object equals its total mass divided by its total volume is calculated using Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius). To calculate Density of cylinder material given hoop stress (for thin cylinder), you need Hoop Stress in Disc (σ_θ), Angular Velocity (ω) & Disc Radius (r_disc). With our tool, you need to enter the respective value for Hoop Stress in Disc, Angular Velocity & Disc Radius 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 & Disc Radius. 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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