Tangential velocity of cylinder given hoop stress in thin cylinder 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%
✖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%

✖Tangential Velocity is the linear speed of any object moving along a circular path.ⓘ Tangential velocity of cylinder given hoop stress in thin cylinder [v_t]

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Tangential velocity of cylinder given hoop stress in thin cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Hoop Stress in Disc: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)
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

v_t = σ_θ/(ρ) --> 18/(2)

Evaluating ... ...

v_t = 9

STEP 3: Convert Result to Output's Unit

9 Meter per Second --> No Conversion Required

FINAL ANSWER

9 Meter per Second <-- Tangential Velocity

(Calculation completed in 00.005 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 » Tangential velocity of cylinder given hoop stress in thin cylinder

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

Tangential velocity of cylinder given hoop stress in thin cylinder Formula

Tangential Velocity = Hoop Stress in Disc/(Density of Disc)
v_t = σ_θ/(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 Tangential velocity of cylinder given hoop stress in thin cylinder?

Tangential velocity of cylinder given hoop stress in thin cylinder calculator uses Tangential Velocity = Hoop Stress in Disc/(Density of Disc) to calculate 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 calculate Tangential velocity of cylinder given hoop stress in thin cylinder using this online calculator? To use this online calculator 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. Here is how the Tangential velocity of cylinder given hoop stress in thin cylinder calculation can be explained with given input values -> 9 = 18/(2).

FAQ

What is Tangential velocity of cylinder given hoop stress in thin cylinder?

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 and is represented as v_t = σ_θ/(ρ) or Tangential Velocity = Hoop Stress in Disc/(Density of Disc). 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 & Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.

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

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

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