Transformed Conical Variable with Wave Angle Calculator

✖Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.ⓘ Wave Angle [β]			+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%

✖Transformed Conical Variable With Wave Angle is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken using wave angle.ⓘ Transformed Conical Variable with Wave Angle [θ_wave]

⎘ Copy

👎

Formula

✖

Transformed Conical Variable with Wave Angle

Formula

`"θ"_{"wave"} = ("β"*(180/pi))/"λ"`

Example

`"32.77319"=("0.286rad"*(180/pi))/"0.5"`

Calculator

LaTeX

Reset

👍

Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF PDF Image

Transformed Conical Variable with Wave Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio
θ_wave = (β*(180/pi))/λ
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Transformed Conical Variable With Wave Angle - Transformed Conical Variable With Wave Angle is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken using wave angle.
Wave Angle - (Measured in Radian) - Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
Slenderness Ratio - The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

STEP 1: Convert Input(s) to Base Unit

Wave Angle: 0.286 Radian --> 0.286 Radian No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_wave = (β*(180/pi))/λ --> (0.286*(180/pi))/0.5

Evaluating ... ...

θ_wave = 32.7731858814831

STEP 3: Convert Result to Output's Unit

32.7731858814831 --> No Conversion Required

FINAL ANSWER

32.7731858814831 ≈ 32.77319 <-- Transformed Conical Variable With Wave Angle

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Approximate Methods of Hypersonic Inviscid Flowfields » Transformed Conical Variable with Wave Angle

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 11 Approximate Methods of Hypersonic Inviscid Flowfields Calculators

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)

Non-Dimensional Pressure for High Mach Number

Go Non Dimensionalized Pressure For High Mech Number = 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 with Wave Angle Formula

Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio
θ_wave = (β*(180/pi))/λ

what is slenderness ratio?

Slenderness ratio is a term commonly used in engineering, architecture, and structural design. It refers to the ratio of the effective length of a structural member (such as a column or beam) to its least lateral dimension (such as its diameter, width, or thickness). In simpler terms, it's a measure of how slender or slender a structural element is relative to its size.

How to Calculate Transformed Conical Variable with Wave Angle?

Transformed Conical Variable with Wave Angle calculator uses Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio to calculate the Transformed Conical Variable With Wave Angle, Transformed Conical Variable with Wave Angle is a mathematical model used in various fields, particularly in physics and engineering, to describe the behavior of certain conical structures subjected to wave propagation. This model incorporates both the geometric properties of the conical structure and the wave angle of the incident wave. Transformed Conical Variable With Wave Angle is denoted by θ_wave symbol.

How to calculate Transformed Conical Variable with Wave Angle using this online calculator? To use this online calculator for Transformed Conical Variable with Wave Angle, enter Wave Angle (β) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Transformed Conical Variable with Wave Angle calculation can be explained with given input values -> 32.77319 = (0.286*(180/pi))/0.5.

FAQ

What is Transformed Conical Variable with Wave Angle?

Transformed Conical Variable with Wave Angle is a mathematical model used in various fields, particularly in physics and engineering, to describe the behavior of certain conical structures subjected to wave propagation. This model incorporates both the geometric properties of the conical structure and the wave angle of the incident wave and is represented as θ_wave = (β*(180/pi))/λ or Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio. Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle & The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

How to calculate Transformed Conical Variable with Wave Angle?

Transformed Conical Variable with Wave Angle is a mathematical model used in various fields, particularly in physics and engineering, to describe the behavior of certain conical structures subjected to wave propagation. This model incorporates both the geometric properties of the conical structure and the wave angle of the incident wave is calculated using Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio. To calculate Transformed Conical Variable with Wave Angle, you need Wave Angle (β) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Wave Angle & Slenderness Ratio 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