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)
vt = σθ/(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
vt = σθ/(ρ) --> 18/(2)
Evaluating ... ...
vt = 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 00.020 seconds)

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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)
vt = σθ/(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 vt 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 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 vt = σθ/(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 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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