Density of material of cylinder given hoop stress and tangential velocity Calculator

✖Hoop Stress in Disc is the circumferential stress in a cylinder.ⓘ Hoop Stress in Disc [σ_θ]			+10% -10%
✖Tangential Velocity is the linear speed of any object moving along a circular path.ⓘ Tangential Velocity [v_t]			+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 material of cylinder given hoop stress and tangential velocity [ρ]

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Density of material of cylinder given hoop stress and tangential velocity

Formula

`"ρ" = "σ"_{"θ"}/"v"_{"t"}`

Example

`"0.05kg/m³"="18N/m²"/"360m/s"`

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Density of material of cylinder given hoop stress and tangential velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density Of Disc = Hoop Stress in Disc/Tangential Velocity
ρ = σ_θ/v_t
This formula uses 3 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.
Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity is the linear speed of any object moving along a circular path.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress in Disc: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)
Tangential Velocity: 360 Meter per Second --> 360 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = σ_θ/v_t --> 18/360

Evaluating ... ...

ρ = 0.05

STEP 3: Convert Result to Output's Unit

0.05 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.05 Kilogram per Cubic Meter <-- Density Of Disc

(Calculation completed in 00.010 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Density of material of cylinder given hoop stress and tangential velocity

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 21 Expression for Stresses in Rotating Thin Disc Calculators

Poisson's ratio given initial radial width of disc

Go Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

Modulus of elasticity given initial radial width of disc

Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width)

Modulus of elasticity given radius of disc

Go Modulus Of Elasticity Of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius))

Increase in radius of disc given stresses

Go Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius

Radius of disc given stresses on disc

Go Disc Radius = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)

Poisson's ratio given radius of disc

Go Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress

Poisson's ratio given circumferential strain on disc

Go Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)

Modulus of elasticity given circumferential strain on disc

Go Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential strain

Poisson's ratio given radial strain on disc

Go Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

Modulus of elasticity given radial strain on disc

Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain

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

Initial circumference given circumferential strain for rotating thin disc

Go Initial circumference = Final Circumference/(Circumferential strain+1)

Final circumference given circumferential strain for rotating thin disc

Go Final Circumference = (Circumferential strain+1)*Initial circumference

Tangential velocity of cylinder given hoop stress in thin cylinder

Go Tangential Velocity = Hoop Stress in Disc/(Density Of Disc)

Density of material of cylinder given hoop stress and tangential velocity

Go Density Of Disc = Hoop Stress in Disc/Tangential Velocity

Hoop stress in thin cylinder given tangential velocity of cylinder

Go Hoop Stress in Disc = Tangential Velocity*Density Of Disc

Increase in radius given circumferential strain for rotating thin disc

Go Increase in radius = Circumferential strain*Disc Radius

Radius of disc given circumferential strain for rotating thin disc

Go Disc Radius = Increase in radius/Circumferential strain

Density of material of cylinder given hoop stress and tangential velocity Formula

Density Of Disc = Hoop Stress in Disc/Tangential Velocity
ρ = σ_θ/v_t

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 material of cylinder given hoop stress and tangential velocity?

Density of material of cylinder given hoop stress and tangential velocity calculator uses Density Of Disc = Hoop Stress in Disc/Tangential Velocity to calculate the Density Of Disc, The Density of material of cylinder given hoop stress and tangential velocity formula is defined as a measure of mass per volume. Density Of Disc is denoted by ρ symbol.

How to calculate Density of material of cylinder given hoop stress and tangential velocity using this online calculator? To use this online calculator for Density of material of cylinder given hoop stress and tangential velocity, enter Hoop Stress in Disc (σ_θ) & Tangential Velocity (v_t) and hit the calculate button. Here is how the Density of material of cylinder given hoop stress and tangential velocity calculation can be explained with given input values -> 0.05 = 18/360.

FAQ

What is Density of material of cylinder given hoop stress and tangential velocity?

The Density of material of cylinder given hoop stress and tangential velocity formula is defined as a measure of mass per volume and is represented as ρ = σ_θ/v_t or Density Of Disc = Hoop Stress in Disc/Tangential Velocity. Hoop Stress in Disc is the circumferential stress in a cylinder & Tangential Velocity is the linear speed of any object moving along a circular path.

How to calculate Density of material of cylinder given hoop stress and tangential velocity?

The Density of material of cylinder given hoop stress and tangential velocity formula is defined as a measure of mass per volume is calculated using Density Of Disc = Hoop Stress in Disc/Tangential Velocity. To calculate Density of material of cylinder given hoop stress and tangential velocity, you need Hoop Stress in Disc (σ_θ) & Tangential Velocity (v_t). With our tool, you need to enter the respective value for Hoop Stress in Disc & Tangential Velocity 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 & Tangential Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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