Radius of Curvature for Sphere Cone Body Shape Calculator

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M_r]			+10% -10%

✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature for Sphere Cone Body Shape [R_curvature]

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Radius of Curvature for Sphere Cone Body Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2)
R_curvature = r*1.143*exp(0.54/(M_r-1)^1.2)
This formula uses 1 Functions, 3 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Mach Number - Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Radius: 2355 Millimeter --> 2.355 Meter (Check conversion here)
Mach Number: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_curvature = r*1.143*exp(0.54/(M_r-1)^1.2) --> 2.355*1.143*exp(0.54/(1.4-1)^1.2)

Evaluating ... ...

R_curvature = 13.6223945715331

STEP 3: Convert Result to Output's Unit

13.6223945715331 Meter -->13622.3945715331 Millimeter (Check conversion here)

FINAL ANSWER

13622.3945715331 ≈ 13622.39 Millimeter <-- Radius of Curvature

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flight Paths Velocity of Altitude Map » Radius of Curvature for Sphere Cone Body Shape

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< Hypersonic Flight Paths Velocity of Altitude Map Calculators

Forces Acting Perpendicular to Body on Flight Path

LaTeX Go Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius

Forces Acting on Body along Flight Path

LaTeX Go Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient

Radius for Cylinder-Wedge Body Shape

LaTeX Go Radius = Radius of Curvature/(1.386*exp(1.8/(Mach Number-1)^0.75))

Radius for Sphere-Cone Body Shape

LaTeX Go Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2))

Radius of Curvature for Sphere Cone Body Shape Formula

LaTeX Go

Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2)
R_curvature = r*1.143*exp(0.54/(M_r-1)^1.2)

What is a shock wave?

A shock wave is a strong pressure wave in any elastic medium such as air, water, or a solid substance, produced by supersonic aircraft, explosions, lightning, or other phenomena that create violent changes in pressure.

How to Calculate Radius of Curvature for Sphere Cone Body Shape?

Radius of Curvature for Sphere Cone Body Shape calculator uses Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2) to calculate the Radius of Curvature, Radius of Curvature for Sphere Cone Body Shape formula is defined as a measure of the curvature of a sphere cone body shape in hypersonic flight paths, providing a crucial parameter for velocity and altitude mapping, which is essential for understanding the dynamics of high-speed flight. Radius of Curvature is denoted by R_curvature symbol.

How to calculate Radius of Curvature for Sphere Cone Body Shape using this online calculator? To use this online calculator for Radius of Curvature for Sphere Cone Body Shape, enter Radius (r) & Mach Number (M_r) and hit the calculate button. Here is how the Radius of Curvature for Sphere Cone Body Shape calculation can be explained with given input values -> 1.4E+7 = 2.355*1.143*exp(0.54/(1.4-1)^1.2).

FAQ

What is Radius of Curvature for Sphere Cone Body Shape?

Radius of Curvature for Sphere Cone Body Shape formula is defined as a measure of the curvature of a sphere cone body shape in hypersonic flight paths, providing a crucial parameter for velocity and altitude mapping, which is essential for understanding the dynamics of high-speed flight and is represented as R_curvature = r*1.143*exp(0.54/(M_r-1)^1.2) or Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2). Radius is a radial line from the focus to any point of a curve & Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate Radius of Curvature for Sphere Cone Body Shape?

Radius of Curvature for Sphere Cone Body Shape formula is defined as a measure of the curvature of a sphere cone body shape in hypersonic flight paths, providing a crucial parameter for velocity and altitude mapping, which is essential for understanding the dynamics of high-speed flight is calculated using Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2). To calculate Radius of Curvature for Sphere Cone Body Shape, you need Radius (r) & Mach Number (M_r). With our tool, you need to enter the respective value for Radius & Mach Number 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 Radius of Curvature?

In this formula, Radius of Curvature uses Radius & Mach Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Curvature = Radius*1.386*exp(1.8/(Mach Number-1)^0.75)

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