Angular speed of rotation for thin 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%
✖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%

✖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 speed of rotation for thin cylinder given hoop stress in thin cylinder [ω]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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)
Density of Disc: 2 Kilogram per Cubic Meter --> 2 Kilogram per Cubic Meter No Conversion Required
Radius of Disc: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = σ_θ/(ρ*r_disc) --> 18/(2*1)

Evaluating ... ...

ω = 9

STEP 3: Convert Result to Output's Unit

9 Radian per Second --> No Conversion Required

FINAL ANSWER

9 Radian per Second <-- Angular Velocity

(Calculation completed in 00.007 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

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

Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc)
ω = σ_θ/(ρ*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 Angular speed of rotation for thin cylinder given hoop stress in thin cylinder?

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder calculator uses Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc) to calculate the Angular Velocity, Angular speed of rotation for thin cylinder given hoop stress in thin cylinder formula is defined as the relationship between the hoop stress and the material properties of a rotating thin cylinder, illustrating how stress influences rotational dynamics. Angular Velocity is denoted by ω symbol.

How to calculate Angular speed of rotation for thin cylinder given hoop stress in thin cylinder using this online calculator? To use this online calculator for Angular speed of rotation for thin cylinder given hoop stress in thin cylinder, enter Hoop Stress in Disc (σ_θ), Density of Disc (ρ) & Radius of Disc (r_disc) and hit the calculate button. Here is how the Angular speed of rotation for thin cylinder given hoop stress in thin cylinder calculation can be explained with given input values -> 9 = 18/(2*1).

FAQ

What is Angular speed of rotation for thin cylinder given hoop stress in thin cylinder?

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder formula is defined as the relationship between the hoop stress and the material properties of a rotating thin cylinder, illustrating how stress influences rotational dynamics and is represented as ω = σ_θ/(ρ*r_disc) or Angular Velocity = Hoop Stress in Disc/(Density of Disc*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, Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout & Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

How to calculate Angular speed of rotation for thin cylinder given hoop stress in thin cylinder?

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder formula is defined as the relationship between the hoop stress and the material properties of a rotating thin cylinder, illustrating how stress influences rotational dynamics is calculated using Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc). To calculate Angular speed of rotation for thin cylinder given hoop stress in thin cylinder, you need Hoop Stress in Disc (σ_θ), Density of Disc (ρ) & Radius of Disc (r_disc). With our tool, you need to enter the respective value for Hoop Stress in Disc, Density of Disc & Radius of Disc and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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