Density of material of cylinder given hoop stress and tangential velocity 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%
✖Tangential Velocity is the linear speed of any object moving along a circular path.ⓘ Tangential Velocity [v_t]			+10% -10%

✖Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.ⓘ Density of material of cylinder given hoop stress and tangential velocity [ρ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Density of Disc = Hoop Stress in Disc/Tangential Velocity
ρ = σ_θ/v_t
This formula uses 3 Variables

Variables Used

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.
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.
Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity is the linear speed of any object moving along a circular path.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress in Disc: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)
Tangential Velocity: 360 Meter per Second --> 360 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = σ_θ/v_t --> 18/360

Evaluating ... ...

ρ = 0.05

STEP 3: Convert Result to Output's Unit

0.05 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.05 Kilogram per Cubic Meter <-- Density of Disc

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Density of material of cylinder given hoop stress and tangential velocity

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National Institute Of Technology (NIT), Hamirpur

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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

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

Density of Disc = Hoop Stress in Disc/Tangential Velocity
ρ = σ_θ/v_t

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

Density of material of cylinder given hoop stress and tangential velocity calculator uses Density of Disc = Hoop Stress in Disc/Tangential Velocity to calculate 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 calculate Density of material of cylinder given hoop stress and tangential velocity using this online calculator? To use this online calculator 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. Here is how the Density of material of cylinder given hoop stress and tangential velocity calculation can be explained with given input values -> 0.05 = 18/360.

FAQ

What is Density of material of cylinder given hoop stress and tangential velocity?

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 and is represented as ρ = σ_θ/v_t or Density of Disc = Hoop Stress in Disc/Tangential Velocity. 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 & Tangential Velocity is the linear speed of any object moving along a circular path.

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

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 is calculated using Density of Disc = Hoop Stress in Disc/Tangential Velocity. To calculate Density of material of cylinder given hoop stress and tangential velocity, you need Hoop Stress in Disc (σ_θ) & Tangential Velocity (v_t). With our tool, you need to enter the respective value for Hoop Stress in Disc & Tangential Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Density of Disc?

In this formula, Density of Disc uses Hoop Stress in Disc & Tangential Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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