Transformed Conical Variable Calculator

✖Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Cone [R]			+10% -10%
✖The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]			+10% -10%
✖Height of Cone is measure of vertical distance, either vertical extent or vertical position.ⓘ Height of Cone [H]			+10% -10%

✖The Transformed Conical Variable is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken.ⓘ Transformed Conical Variable [θ_-]

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Formula

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Transformed Conical Variable

Formula

`"θ"_{"-"} = "R"/("λ"*"H")`

Example

`"1.904762"="8m"/("0.5"*"8.4m")`

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Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF PDF Image

Transformed Conical Variable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)
θ_- = R/(λ*H)
This formula uses 4 Variables

Variables Used

Transformed Conical Variable - The Transformed Conical Variable is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken.
Radius of Cone - (Measured in Meter) - Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Slenderness Ratio - The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Height of Cone - (Measured in Meter) - Height of Cone is measure of vertical distance, either vertical extent or vertical position.

STEP 1: Convert Input(s) to Base Unit

Radius of Cone: 8 Meter --> 8 Meter No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required
Height of Cone: 8.4 Meter --> 8.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_- = R/(λ*H) --> 8/(0.5*8.4)

Evaluating ... ...

θ_- = 1.9047619047619

STEP 3: Convert Result to Output's Unit

1.9047619047619 --> No Conversion Required

FINAL ANSWER

1.9047619047619 ≈ 1.904762 <-- Transformed Conical Variable

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 11 Approximate Methods of Hypersonic Inviscid Flowfields Calculators

Non-Dimensional Pressure for High Mach Number

Go Non Dimensionalized Pressure For High Mech Number = (2*(sin(Wave Angle)^2))/(Specific Heat Ratio+1)

Non-Dimensional Parallel Velocity Component for High Mach Number

Go Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1)

Transformed Conical Variable with Wave Angle

Go Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio

Transformed Conical Variable

Go Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Radius for Hypersonic Vehicles

Go Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Perpendicular Velocity Component for High Mach Number

Go Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1)

Transformed Conical Variable with Cone Angle in Hypersonic Flow

Go Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone

Non-Dimensional Pressure

Go Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)

Non-Dimensional Density for High Mach Number

Go Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)

Slenderness Ratio with Cone Radius for Hypersonic Vehicle

Go Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone

Non-Dimensional Density

Go Non Dimensionalized Density = Density/Liquid Density

Transformed Conical Variable Formula

Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)
θ_- = R/(λ*H)

What is slenderness ratio?

Since the configuration under consideration is slender, the slope at any point is of the
order of ratio of length to diameter of the body

How to Calculate Transformed Conical Variable?

Transformed Conical Variable calculator uses Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone) to calculate the Transformed Conical Variable, Transformed conical variable is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken. Transformed Conical Variable is denoted by θ_- symbol.

How to calculate Transformed Conical Variable using this online calculator? To use this online calculator for Transformed Conical Variable, enter Radius of Cone (R), Slenderness Ratio (λ) & Height of Cone (H) and hit the calculate button. Here is how the Transformed Conical Variable calculation can be explained with given input values -> 1.904762 = 8/(0.5*8.4).

FAQ

What is Transformed Conical Variable?

Transformed conical variable is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken and is represented as θ_- = R/(λ*H) or Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone). Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length, The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section & Height of Cone is measure of vertical distance, either vertical extent or vertical position.

How to calculate Transformed Conical Variable?

Transformed conical variable is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken is calculated using Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone). To calculate Transformed Conical Variable, you need Radius of Cone (R), Slenderness Ratio (λ) & Height of Cone (H). With our tool, you need to enter the respective value for Radius of Cone, Slenderness Ratio & Height of Cone 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 Transformed Conical Variable?

In this formula, Transformed Conical Variable uses Radius of Cone, Slenderness Ratio & Height of Cone. We can use 1 other way(s) to calculate the same, which is/are as follows -

Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone

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