Mean radius of cylinder given hoop stress in 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%
✖Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.ⓘ Density of Disc [ρ]			+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).ⓘ Mean radius of cylinder given hoop stress in thin cylinder [r_disc]

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Mean radius of cylinder given hoop stress in thin cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress in Disc: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)
Density of Disc: 2 Kilogram per Cubic Meter --> 2 Kilogram per Cubic Meter No Conversion Required
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_disc = σ_θ/(ρ*ω) --> 18/(2*11.2)

Evaluating ... ...

r_disc = 0.803571428571429

STEP 3: Convert Result to Output's Unit

0.803571428571429 Meter -->803.571428571429 Millimeter (Check conversion here)

FINAL ANSWER

803.571428571429 ≈ 803.5714 Millimeter <-- Radius of Disc

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Mean radius of cylinder given hoop stress in thin cylinder

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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

Mean radius of cylinder given hoop stress in thin cylinder Formula

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

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 Mean radius of cylinder given hoop stress in thin cylinder?

Mean radius of cylinder given hoop stress in thin cylinder calculator uses Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity) to calculate the Radius of Disc, Mean radius of cylinder given hoop stress in thin cylinder formula is defined as a relationship that describes the radius of a rotating thin cylinder based on the hoop stress, density, and angular velocity, ensuring structural integrity under rotational forces. Radius of Disc is denoted by r_disc symbol.

How to calculate Mean radius of cylinder given hoop stress in thin cylinder using this online calculator? To use this online calculator for Mean radius of cylinder given hoop stress in thin cylinder, enter Hoop Stress in Disc (σ_θ), Density of Disc (ρ) & Angular Velocity (ω) and hit the calculate button. Here is how the Mean radius of cylinder given hoop stress in thin cylinder calculation can be explained with given input values -> 803571.4 = 18/(2*11.2).

FAQ

What is Mean radius of cylinder given hoop stress in thin cylinder?

Mean radius of cylinder given hoop stress in thin cylinder formula is defined as a relationship that describes the radius of a rotating thin cylinder based on the hoop stress, density, and angular velocity, ensuring structural integrity under rotational forces and is represented as r_disc = σ_θ/(ρ*ω) or Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity). 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, Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout & 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.

How to calculate Mean radius of cylinder given hoop stress in thin cylinder?

Mean radius of cylinder given hoop stress in thin cylinder formula is defined as a relationship that describes the radius of a rotating thin cylinder based on the hoop stress, density, and angular velocity, ensuring structural integrity under rotational forces is calculated using Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity). To calculate Mean radius of cylinder given hoop stress in thin cylinder, you need Hoop Stress in Disc (σ_θ), Density of Disc (ρ) & Angular Velocity (ω). With our tool, you need to enter the respective value for Hoop Stress in Disc, Density of Disc & Angular 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 Radius of Disc?

In this formula, Radius of Disc uses Hoop Stress in Disc, Density of Disc & Angular Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Disc = Increase in Radius/Circumferential Strain
Radius of Disc = Increase in Radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc)

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