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)
Rcurvature = r*1.143*exp(0.54/(Mr-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
Rcurvature = r*1.143*exp(0.54/(Mr-1)^1.2) --> 2.355*1.143*exp(0.54/(1.4-1)^1.2)
Evaluating ... ...
Rcurvature = 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)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

9 Hypersonic Flight Paths Velocity of Altitude Map Calculators

Forces Acting Perpendicular to Body on Flight Path
Go Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius
Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)
Go Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)
Forces Acting on Body along Flight Path
Go Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient
Radial Coordinate of Blunt-Nosed Cylinder (First Approximation)
Go Radial Coordinate = 0.795*Diameter*Drag Coefficient^(1/4)*(Distance from X-Axis/Diameter)^(1/2)
Blunt-Nosed Radial Coordinate Flat Plate (First Approximation)
Go Radial Coordinate = 0.774*Drag Coefficient^(1/3)*(Distance from X-Axis/Diameter)^(2/3)
Radius for Cylinder-Wedge Body Shape
Go Radius = Radius of Curvature/(1.386*exp(1.8/(Mach Number-1)^0.75))
Radius for Sphere-Cone Body Shape
Go Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2))
Radius of Curvature for Cylinder Wedge Body Shape
Go Radius of Curvature = Radius*1.386*exp(1.8/(Mach Number-1)^0.75)
Radius of Curvature for Sphere Cone Body Shape
Go Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2)

Radius of Curvature for Sphere Cone Body Shape Formula

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

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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, The Radius of curvature for sphere cone body shape formula is defined as the product of the radius of the nose of the body to the 1.143 times exponent of the product of 0.54 and inverse of freestream Mach number minus 1 raised to 1.2. Radius of Curvature is denoted by Rcurvature 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 (Mr) 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?
The Radius of curvature for sphere cone body shape formula is defined as the product of the radius of the nose of the body to the 1.143 times exponent of the product of 0.54 and inverse of freestream Mach number minus 1 raised to 1.2 and is represented as Rcurvature = r*1.143*exp(0.54/(Mr-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?
The Radius of curvature for sphere cone body shape formula is defined as the product of the radius of the nose of the body to the 1.143 times exponent of the product of 0.54 and inverse of freestream Mach number minus 1 raised to 1.2 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 (Mr). 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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