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Radius is a radial line from the focus to any point of a curve. Check FAQs
r=Rcurvature1.143exp(0.54(Mr-1)1.2)
r - Radius?Rcurvature - Radius of Curvature?Mr - Mach Number?

Radius for Sphere-Cone Body Shape Example

With values
With units
Only example

Here is how the Radius for Sphere-Cone Body Shape equation looks like with Values.

Here is how the Radius for Sphere-Cone Body Shape equation looks like with Units.

Here is how the Radius for Sphere-Cone Body Shape equation looks like.

2633.7825Edit=15235Edit1.143exp(0.54(1.4Edit-1)1.2)
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Radius for Sphere-Cone Body Shape Solution

Follow our step by step solution on how to calculate Radius for Sphere-Cone Body Shape?

FIRST Step Consider the formula
r=Rcurvature1.143exp(0.54(Mr-1)1.2)
Next Step Substitute values of Variables
r=15235mm1.143exp(0.54(1.4-1)1.2)
Next Step Convert Units
r=15.235m1.143exp(0.54(1.4-1)1.2)
Next Step Prepare to Evaluate
r=15.2351.143exp(0.54(1.4-1)1.2)
Next Step Evaluate
r=2.63378254179889m
Next Step Convert to Output's Unit
r=2633.78254179889mm
LAST Step Rounding Answer
r=2633.7825mm

Radius for Sphere-Cone Body Shape Formula Elements

Variables
Functions
Radius
Radius is a radial line from the focus to any point of a curve.
Symbol: r
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Radius of Curvature
The Radius of Curvature is the reciprocal of the curvature.
Symbol: Rcurvature
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
Symbol: Mr
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other Formulas to find Radius

​Go Radius for Cylinder-Wedge Body Shape
r=Rcurvature1.386exp(1.8(Mr-1)0.75)

Other formulas in Hypersonic Flight Paths Velocity of Altitude Map category

​Go Forces Acting on Body along Flight Path
FD=Wsin(θi)-MVG
​Go Forces Acting Perpendicular to Body on Flight Path
FL=Wcos(θi)-Mv2r
​Go Radius of Curvature for Sphere Cone Body Shape
Rcurvature=r1.143exp(0.54(Mr-1)1.2)
​Go Radius of Curvature for Cylinder Wedge Body Shape
Rcurvature=r1.386exp(1.8(Mr-1)0.75)

How to Evaluate Radius for Sphere-Cone Body Shape?

Radius for Sphere-Cone Body Shape evaluator uses Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2)) to evaluate the Radius, The Radius for sphere-cone body shape formula is defined as the ratio of the radius of curvature of the shock of the body to the 1.143 time exponent of the inverse of Mach number at infinity raise to 1.2. Radius is denoted by r symbol.

How to evaluate Radius for Sphere-Cone Body Shape using this online evaluator? To use this online evaluator for Radius for Sphere-Cone Body Shape, enter Radius of Curvature (Rcurvature) & Mach Number (Mr) and hit the calculate button.

FAQs on Radius for Sphere-Cone Body Shape

What is the formula to find Radius for Sphere-Cone Body Shape?
The formula of Radius for Sphere-Cone Body Shape is expressed as Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2)). Here is an example- 2.6E+6 = 15.235/(1.143*exp(0.54/(1.4-1)^1.2)).
How to calculate Radius for Sphere-Cone Body Shape?
With Radius of Curvature (Rcurvature) & Mach Number (Mr) we can find Radius for Sphere-Cone Body Shape using the formula - Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2)). This formula also uses Exponential Growth Function function(s).
What are the other ways to Calculate Radius?
Here are the different ways to Calculate Radius-
  • Radius=Radius of Curvature/(1.386*exp(1.8/(Mach Number-1)^0.75))OpenImg
Can the Radius for Sphere-Cone Body Shape be negative?
No, the Radius for Sphere-Cone Body Shape, measured in Length cannot be negative.
Which unit is used to measure Radius for Sphere-Cone Body Shape?
Radius for Sphere-Cone Body Shape is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius for Sphere-Cone Body Shape can be measured.
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