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Hoop stress in thin cylinder given tangential velocity of cylinder Formula

GoHoop stress in thin cylinder Formula

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Hoop Stress in Disc is the circumferential stress in a cylinder. Check FAQs

σ θ = v t \cdot ρ

σ_θ - Hoop Stress in Disc?v_t - Tangential Velocity?ρ - Density Of Disc?

Hoop stress in thin cylinder given tangential velocity of cylinder Example

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Here is how the Hoop stress in thin cylinder given tangential velocity of cylinder equation looks like with Values.

Here is how the Hoop stress in thin cylinder given tangential velocity of cylinder equation looks like with Units.

Here is how the Hoop stress in thin cylinder given tangential velocity of cylinder equation looks like.

720 = 360 \cdot 2

720N/m² = 360m/s \cdot 2kg/m³

720 = 360 \cdot 2

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Hoop stress in thin cylinder given tangential velocity of cylinder Solution

Follow our step by step solution on how to calculate Hoop stress in thin cylinder given tangential velocity of cylinder?

FIRST Step Consider the formula

σ θ = v t \cdot ρ

Next Step Substitute values of Variables

∴

σ θ = 360m/s \cdot 2kg/m³

Next Step Prepare to Evaluate

∴

σ θ = 360 \cdot 2

Next Step Evaluate

∴

σ θ = 720Pa

LAST Step Convert to Output's Unit

∴

σ θ = 720N/m²

Hoop stress in thin cylinder given tangential velocity of cylinder Formula Elements

Variables

Hoop Stress in Disc

Hoop Stress in Disc is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Hoop Stress in Disc

Tangential Velocity

Tangential Velocity is the linear speed of any object moving along a circular path.

Symbol: v_t

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Tangential Velocity

Density Of Disc

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Of Disc

Other Formulas to find Hoop Stress in Disc

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

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 given tangential velocity of cylinder?

Hoop stress in thin cylinder given tangential velocity of cylinder evaluator uses Hoop Stress in Disc = Tangential Velocity*Density Of Disc to evaluate the Hoop Stress in Disc, Hoop stress in thin cylinder given tangential velocity of cylinder formula is defined as a measure of the stress experienced by a thin-walled cylinder due to its rotation, which is influenced by the tangential velocity and material density. Hoop Stress in Disc is denoted by σ_θ symbol.

How to evaluate Hoop stress in thin cylinder given tangential velocity of cylinder using this online evaluator? To use this online evaluator for Hoop stress in thin cylinder given tangential velocity of cylinder, enter Tangential Velocity (v_t) & Density Of Disc (ρ) and hit the calculate button.

FAQs on Hoop stress in thin cylinder given tangential velocity of cylinder

What is the formula to find Hoop stress in thin cylinder given tangential velocity of cylinder?

The formula of Hoop stress in thin cylinder given tangential velocity of cylinder is expressed as Hoop Stress in Disc = Tangential Velocity*Density Of Disc. Here is an example- 720 = 360*2.

How to calculate Hoop stress in thin cylinder given tangential velocity of cylinder?

With Tangential Velocity (v_t) & Density Of Disc (ρ) we can find Hoop stress in thin cylinder given tangential velocity of cylinder using the formula - Hoop Stress in Disc = Tangential Velocity*Density 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=Density of Disc*Angular Velocity*Radius of Disc

Can the Hoop stress in thin cylinder given tangential velocity of cylinder be negative?

No, the Hoop stress in thin cylinder given tangential velocity of cylinder, measured in Stress cannot be negative.

Which unit is used to measure Hoop stress in thin cylinder given tangential velocity of cylinder?

Hoop stress in thin cylinder given tangential velocity of 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 given tangential velocity of cylinder can be measured.

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