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Density of material of cylinder given hoop stress and tangential velocity Formula

GoDensity of cylinder material given hoop stress (for thin cylinder) Formula

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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. Check FAQs

ρ = \frac{σ θ}{v t}

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

Density of material of cylinder given hoop stress and tangential velocity Example

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Here is how the Density of material of cylinder given hoop stress and tangential velocity equation looks like with Values.

Here is how the Density of material of cylinder given hoop stress and tangential velocity equation looks like with Units.

Here is how the Density of material of cylinder given hoop stress and tangential velocity equation looks like.

0.05 = \frac{18}{360}

0.05kg/m³ = \frac{18N/m²}{360m/s}

0.05 = \frac{18}{360}

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Density of material of cylinder given hoop stress and tangential velocity Solution

Follow our step by step solution on how to calculate Density of material of cylinder given hoop stress and tangential velocity?

FIRST Step Consider the formula

ρ = \frac{σ θ}{v t}

Next Step Substitute values of Variables

∴

ρ = \frac{18N/m²}{360m/s}

Next Step Convert Units

∴

ρ = \frac{18Pa}{360m/s}

Next Step Prepare to Evaluate

∴

ρ = \frac{18}{360}

LAST Step Evaluate

∴

ρ = 0.05kg/m³

Density of material of cylinder given hoop stress and tangential velocity Formula Elements

Variables

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

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

Other Formulas to find Density Of Disc

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

ρ = \frac{σ θ}{ω \cdot r disc}

Other formulas in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot 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 Hoop stress in thin cylinder given tangential velocity of cylinder

σ θ = v t \cdot ρ

How to Evaluate Density of material of cylinder given hoop stress and tangential velocity?

Density of material of cylinder given hoop stress and tangential velocity evaluator uses Density of Disc = Hoop Stress in Disc/Tangential Velocity to evaluate the Density Of Disc, Density of material of cylinder given hoop stress and tangential velocity formula is defined as a relationship that connects the material density to the hoop stress experienced by the cylinder and its tangential velocity, reflecting the mechanical properties under rotational conditions. Density Of Disc is denoted by ρ symbol.

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

FAQs on Density of material of cylinder given hoop stress and tangential velocity

What is the formula to find Density of material of cylinder given hoop stress and tangential velocity?

The formula of Density of material of cylinder given hoop stress and tangential velocity is expressed as Density of Disc = Hoop Stress in Disc/Tangential Velocity. Here is an example- 0.05 = 18/360.

How to calculate Density of material of cylinder given hoop stress and tangential velocity?

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

What are the other ways to Calculate Density Of Disc?

Here are the different ways to Calculate Density Of Disc-

Density of Disc=Hoop Stress in Disc/(Angular Velocity*Radius of Disc)

Can the Density of material of cylinder given hoop stress and tangential velocity be negative?

No, the Density of material of cylinder given hoop stress and tangential velocity, measured in Density cannot be negative.

Which unit is used to measure Density of material of cylinder given hoop stress and tangential velocity?

Density of material of cylinder given hoop stress and tangential velocity is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of material of cylinder given hoop stress and tangential velocity can be measured.

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