Tangential velocity of cylinder given hoop stress in thin cylinder Calculator

✖Hoop Stress in Disc is the circumferential stress in a cylinder.ⓘ Hoop Stress in Disc [σ_θ]			+10% -10%
✖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.ⓘ 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]

⎘ Copy

👎

Formula

✖

Tangential velocity of cylinder given hoop stress in thin cylinder

Formula

`"v"_{"t"} = "σ"_{"θ"}/("ρ")`

Example

`"9m/s"="18N/m²"/("2kg/m³")`

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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 circumferential stress in a cylinder.
Density Of Disc - (Measured in Kilogram per Cubic Meter) - 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.

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 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Tangential velocity of cylinder given hoop stress in thin cylinder

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 21 Expression for Stresses in Rotating Thin Disc Calculators

Poisson's ratio given initial radial width of disc

Go Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

Modulus of elasticity given initial radial width of disc

Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width)

Modulus of elasticity given radius of disc

Go Modulus Of Elasticity Of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius))

Increase in radius of disc given stresses

Go Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius

Radius of disc given stresses on disc

Go Disc Radius = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)

Poisson's ratio given radius of disc

Go Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress

Poisson's ratio given circumferential strain on disc

Go Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)

Modulus of elasticity given circumferential strain on disc

Go Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential strain

Poisson's ratio given radial strain on disc

Go Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

Modulus of elasticity given radial strain on disc

Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

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

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

Go Hoop Stress in Disc = Density Of Disc*Angular Velocity*Disc Radius

Initial circumference given circumferential strain for rotating thin disc

Go Initial circumference = Final Circumference/(Circumferential strain+1)

Final circumference given circumferential strain for rotating thin disc

Go Final Circumference = (Circumferential strain+1)*Initial circumference

Tangential velocity of cylinder given hoop stress in thin cylinder

Go Tangential Velocity = Hoop Stress in Disc/(Density Of Disc)

Density of material of cylinder given hoop stress and tangential velocity

Go Density Of Disc = Hoop Stress in Disc/Tangential Velocity

Hoop stress in thin cylinder given tangential velocity of cylinder

Go Hoop Stress in Disc = Tangential Velocity*Density Of Disc

Increase in radius given circumferential strain for rotating thin disc

Go Increase in radius = Circumferential strain*Disc Radius

Radius of disc given circumferential strain for rotating thin disc

Go Disc Radius = Increase in radius/Circumferential strain

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, The Tangential velocity of cylinder given hoop stress in thin cylinder formula is defined as the linear speed of any object moving along a circular path. 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?

The Tangential velocity of cylinder given hoop stress in thin cylinder formula is defined as the linear speed of any object moving along a circular path 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 circumferential stress in a cylinder & 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.

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

The Tangential velocity of cylinder given hoop stress in thin cylinder formula is defined as the linear speed of any object moving along a circular path 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.

Home

FREE PDFs

🔍 Search