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Hoop stress in thin cylinder Formula

GoHoop stress in thin cylinder given tangential velocity of cylinder Formula

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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. Check FAQs

σ θ = ρ \cdot ω \cdot r disc

σ_θ - Hoop Stress in Disc?ρ - Density of Disc?ω - Angular Velocity?r_disc - Radius of Disc?

Hoop stress in thin cylinder Example

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Here is how the Hoop stress in thin cylinder equation looks like with Values.

Here is how the Hoop stress in thin cylinder equation looks like with Units.

Here is how the Hoop stress in thin cylinder equation looks like.

22.4 = 2 \cdot 11.2 \cdot 1000

22.4N/m² = 2kg/m³ \cdot 11.2rad/s \cdot 1000mm

22.4 = 2 \cdot 11.2 \cdot 1000

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Hoop stress in thin cylinder Solution

Follow our step by step solution on how to calculate Hoop stress in thin cylinder?

FIRST Step Consider the formula

σ θ = ρ \cdot ω \cdot r disc

Next Step Substitute values of Variables

∴

σ θ = 2kg/m³ \cdot 11.2rad/s \cdot 1000mm

Next Step Convert Units

∴

σ θ = 2kg/m³ \cdot 11.2rad/s \cdot 1m

Next Step Prepare to Evaluate

∴

σ θ = 2 \cdot 11.2 \cdot 1

Next Step Evaluate

∴

σ θ = 22.4Pa

LAST Step Convert to Output's Unit

∴

σ θ = 22.4N/m²

Hoop stress in thin cylinder Formula Elements

Variables

Hoop Stress in 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.

Symbol: σ_θ

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Hoop Stress in Disc

Density of Disc

Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Disc

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Radius of Disc

Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

Symbol: r_disc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Disc

Other Formulas to find Hoop Stress in Disc

Go Hoop stress in thin cylinder given tangential velocity of cylinder

σ θ = v t \cdot ρ

Other formulas in Relation of Parameters category

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

ρ = \frac{σ θ}{ω \cdot r disc}

Go Mean radius of cylinder given hoop stress in thin cylinder

r disc = \frac{σ θ}{ρ \cdot ω}

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

ω = \frac{σ θ}{ρ \cdot r disc}

Go Tangential velocity of cylinder given hoop stress in thin cylinder

v t = \frac{σ θ}{ρ}

How to Evaluate Hoop stress in thin cylinder?

Hoop stress in thin cylinder evaluator uses Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc to evaluate the Hoop Stress in Disc, Hoop stress in thin cylinder formula is defined as a measure of the circumferential stress experienced by a thin-walled cylinder due to internal pressure or rotational forces, crucial for assessing structural integrity in mechanical applications. Hoop Stress in Disc is denoted by σ_θ symbol.

How to evaluate Hoop stress in thin cylinder using this online evaluator? To use this online evaluator for Hoop stress in thin cylinder, enter Density of Disc (ρ), Angular Velocity (ω) & Radius of Disc (r_disc) and hit the calculate button.

FAQs on Hoop stress in thin cylinder

What is the formula to find Hoop stress in thin cylinder?

The formula of Hoop stress in thin cylinder is expressed as Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc. Here is an example- 22.4 = 2*11.2*1.

How to calculate Hoop stress in thin cylinder?

With Density of Disc (ρ), Angular Velocity (ω) & Radius of Disc (r_disc) we can find Hoop stress in thin cylinder using the formula - Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc.

What are the other ways to Calculate Hoop Stress in Disc?

Here are the different ways to Calculate Hoop Stress in Disc-

Hoop Stress in Disc=Tangential Velocity*Density of Disc

Can the Hoop stress in thin cylinder be negative?

No, the Hoop stress in thin cylinder, measured in Stress cannot be negative.

Which unit is used to measure Hoop stress in thin cylinder?

Hoop stress in thin cylinder is usually measured using the Newton per Square Meter[N/m²] for Stress. Pascal[N/m²], Newton per Square Millimeter[N/m²], Kilonewton per Square Meter[N/m²] are the few other units in which Hoop stress in thin cylinder can be measured.

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Hoop stress in thin cylinder Formula

​GoHoop stress in thin cylinder given tangential velocity of cylinder Formula

Hoop stress in thin cylinder Example

Hoop stress in thin cylinder Solution

Hoop stress in thin cylinder Formula Elements

Other Formulas to find Hoop Stress in Disc

Other formulas in Relation of Parameters category

How to Evaluate Hoop stress in thin cylinder?

FAQs on Hoop stress in thin cylinder

Variable Name

GoHoop stress in thin cylinder given tangential velocity of cylinder Formula