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Tangential velocity of cylinder given hoop stress in thin cylinder Formula

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

v t = \frac{σ θ}{ρ}

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

Tangential velocity of cylinder given hoop stress in thin cylinder Example

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

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

Here is how the Tangential velocity of cylinder given hoop stress in thin cylinder equation looks like.

9 = \frac{18}{2}

9m/s = \frac{18N/m²}{2kg/m³}

9 = \frac{18}{2}

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Tangential velocity of cylinder given hoop stress in thin cylinder Solution

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

FIRST Step Consider the formula

v t = \frac{σ θ}{ρ}

Next Step Substitute values of Variables

∴

v t = \frac{18N/m²}{2kg/m³}

Next Step Convert Units

∴

v t = \frac{18Pa}{2kg/m³}

Next Step Prepare to Evaluate

∴

v t = \frac{18}{2}

LAST Step Evaluate

∴

v t = 9m/s

Tangential velocity of cylinder given hoop stress in thin cylinder Formula Elements

Variables

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

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

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 in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

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}

How to Evaluate Tangential velocity of cylinder given hoop stress in thin cylinder?

Tangential velocity of cylinder given hoop stress in thin cylinder evaluator uses Tangential Velocity = Hoop Stress in Disc/(Density Of Disc) to evaluate the Tangential Velocity, Tangential velocity of cylinder given hoop stress in thin cylinder formula is defined as the relationship between the hoop stress and the density of the material, illustrating how stress influences the rotational speed of a thin-walled cylinder. Tangential Velocity is denoted by v_t symbol.

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

FAQs on Tangential velocity of cylinder given hoop stress in thin cylinder

What is the formula to find Tangential velocity of cylinder given hoop stress in thin cylinder?

The formula of Tangential velocity of cylinder given hoop stress in thin cylinder is expressed as Tangential Velocity = Hoop Stress in Disc/(Density Of Disc). Here is an example- 9 = 18/(2).

How to calculate Tangential velocity of cylinder given hoop stress in thin cylinder?

With Hoop Stress in Disc (σ_θ) & Density Of Disc (ρ) we can find Tangential velocity of cylinder given hoop stress in thin cylinder using the formula - Tangential Velocity = Hoop Stress in Disc/(Density Of Disc).

Can the Tangential velocity of cylinder given hoop stress in thin cylinder be negative?

Yes, the Tangential velocity of cylinder given hoop stress in thin cylinder, measured in Speed can be negative.

Which unit is used to measure Tangential velocity of cylinder given hoop stress in thin cylinder?

Tangential velocity of cylinder given hoop stress in thin cylinder is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Tangential velocity of cylinder given hoop stress in thin cylinder can be measured.

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