Hoop stress in thin cylinder given tangential velocity of cylinder Calculator

✖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 Disc [ρ]			+10% -10%

✖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 thin cylinder given tangential velocity of cylinder [σ_θ]

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Hoop stress in thin cylinder given tangential velocity of cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Tangential Velocity: 360 Meter per Second --> 360 Meter per Second No Conversion Required
Density of Disc: 2 Kilogram per Cubic Meter --> 2 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = v_t*ρ --> 360*2

Evaluating ... ...

σ_θ = 720

STEP 3: Convert Result to Output's Unit

720 Pascal -->720 Newton per Square Meter (Check conversion here)

FINAL ANSWER

720 Newton per Square Meter <-- Hoop Stress in Disc

(Calculation completed in 00.004 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 » Hoop stress in thin cylinder given tangential velocity of cylinder

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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

Hoop stress in thin cylinder given tangential velocity of cylinder Formula

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

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 Hoop stress in thin cylinder given tangential velocity of cylinder?

Hoop stress in thin cylinder given tangential velocity of cylinder calculator uses Hoop Stress in Disc = Tangential Velocity*Density of Disc to calculate 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 calculate Hoop stress in thin cylinder given tangential velocity of cylinder using this online calculator? To use this online calculator 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. Here is how the Hoop stress in thin cylinder given tangential velocity of cylinder calculation can be explained with given input values -> 720 = 360*2.

FAQ

What is Hoop stress in thin cylinder given tangential velocity of cylinder?

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 and is represented as σ_θ = v_t*ρ or Hoop Stress in Disc = Tangential Velocity*Density of Disc. Tangential Velocity is the linear speed of any object moving along a circular path & Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.

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

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 is calculated using Hoop Stress in Disc = Tangential Velocity*Density of Disc. To calculate Hoop stress in thin cylinder given tangential velocity of cylinder, you need Tangential Velocity (v_t) & Density of Disc (ρ). With our tool, you need to enter the respective value for Tangential Velocity & Density of Disc 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 Hoop Stress in Disc?

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

Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

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