Slenderness Ratio with Cone Radius for Hypersonic Vehicle 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%
✖Height of Cone is measure of vertical distance, either vertical extent or vertical position.ⓘ Height of Cone [H]			+10% -10%

✖Slenderness Ratio For Hypersonic Vehicles is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio with Cone Radius for Hypersonic Vehicle [λ_hypersonic]

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Slenderness Ratio with Cone Radius for Hypersonic Vehicle

Formula

`"λ"_{"hypersonic"} = "R"/"H"`

Example

`"0.952381"="8m"/"8.4m"`

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Slenderness Ratio with Cone Radius for Hypersonic Vehicle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone
λ_hypersonic = R/H
This formula uses 3 Variables

Variables Used

Slenderness Ratio For Hypersonic Vehicles - Slenderness Ratio For Hypersonic Vehicles is the ratio of the length of a column and the least radius of gyration of its cross section.
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.
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
Height of Cone: 8.4 Meter --> 8.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_hypersonic = R/H --> 8/8.4

Evaluating ... ...

λ_hypersonic = 0.952380952380952

STEP 3: Convert Result to Output's Unit

0.952380952380952 --> No Conversion Required

FINAL ANSWER

0.952380952380952 ≈ 0.952381 <-- Slenderness Ratio For Hypersonic Vehicles

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Approximate Methods of Hypersonic Inviscid Flowfields » Slenderness Ratio with Cone Radius for Hypersonic Vehicle

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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

Slenderness Ratio with Cone Radius for Hypersonic Vehicle Formula

Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone
λ_hypersonic = R/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 Slenderness Ratio with Cone Radius for Hypersonic Vehicle?

Slenderness Ratio with Cone Radius for Hypersonic Vehicle calculator uses Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone to calculate the Slenderness Ratio For Hypersonic Vehicles, Slenderness ratio with cone radius for hypersonic vehicle formula is defined as ratio of base radius of cone to the distance or height at which the base radius value is taken. Slenderness Ratio For Hypersonic Vehicles is denoted by λ_hypersonic symbol.

How to calculate Slenderness Ratio with Cone Radius for Hypersonic Vehicle using this online calculator? To use this online calculator for Slenderness Ratio with Cone Radius for Hypersonic Vehicle, enter Radius of Cone (R) & Height of Cone (H) and hit the calculate button. Here is how the Slenderness Ratio with Cone Radius for Hypersonic Vehicle calculation can be explained with given input values -> 0.952381 = 8/8.4.

FAQ

What is Slenderness Ratio with Cone Radius for Hypersonic Vehicle?

Slenderness ratio with cone radius for hypersonic vehicle formula is defined as ratio of base radius of cone to the distance or height at which the base radius value is taken and is represented as λ_hypersonic = R/H or Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/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 & Height of Cone is measure of vertical distance, either vertical extent or vertical position.

How to calculate Slenderness Ratio with Cone Radius for Hypersonic Vehicle?

Slenderness ratio with cone radius for hypersonic vehicle formula is defined as ratio of base radius of cone to the distance or height at which the base radius value is taken is calculated using Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone. To calculate Slenderness Ratio with Cone Radius for Hypersonic Vehicle, you need Radius of Cone (R) & Height of Cone (H). With our tool, you need to enter the respective value for Radius of Cone & Height of Cone 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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