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Radius for Sphere-Cone Body Shape Formula

GoRadius for Cylinder-Wedge Body Shape Formula

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Radius is a radial line from the focus to any point of a curve. Check FAQs

r = \frac{R curvature}{1.143 \cdot \exp (\frac{0.54}{{(M r - 1)}^{1.2}})}

r - Radius?R_curvature - Radius of Curvature?M_r - Mach Number?

Radius for Sphere-Cone Body Shape Example

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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.

2633.7825 = \frac{15235}{1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})}

2633.7825mm = \frac{15235mm}{1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})}

2633.7825 = \frac{15235}{1.143 \cdot \exp (\frac{0.54}{{(1.4 - 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 = \frac{R curvature}{1.143 \cdot \exp (\frac{0.54}{{(M r - 1)}^{1.2}})}

Next Step Substitute values of Variables

∴

r = \frac{15235mm}{1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})}

Next Step Convert Units

∴

r = \frac{15.235m}{1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})}

Next Step Prepare to Evaluate

∴

r = \frac{15.235}{1.143 \cdot \exp (\frac{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.

Formulas to find Radius

Radius of Curvature

The Radius of Curvature is the reciprocal of the curvature.

Symbol: R_curvature

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

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: M_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

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 = \frac{R curvature}{1.386 \cdot \exp (\frac{1.8}{{(M r - 1)}^{0.75}})}

Other formulas in Hypersonic Flight Paths Velocity of Altitude Map category

Go Forces Acting on Body along Flight Path

F D = W \cdot \sin (θ i) - M \cdot VG

Go Forces Acting Perpendicular to Body on Flight Path

F L = W \cdot \cos (θ i) - M \cdot \frac{v^{2}}{r}

Go Radius of Curvature for Sphere Cone Body Shape

R curvature = r \cdot 1.143 \cdot \exp (\frac{0.54}{{(M r - 1)}^{1.2}})

Go Radius of Curvature for Cylinder Wedge Body Shape

R curvature = r \cdot 1.386 \cdot \exp (\frac{1.8}{{(M r - 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, Radius for Sphere-Cone Body Shape formula is defined as a mathematical representation of the radius of a sphere-cone body shape, which is a critical parameter in hypersonic flight paths, particularly in velocity of altitude map analysis, where it plays a vital role in determining the aerodynamic characteristics of a vehicle. 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 (R_curvature) & Mach Number (M_r) 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 (R_curvature) & Mach Number (M_r) 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 (exp) 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))

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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Radius for Sphere-Cone Body Shape Formula

​GoRadius for Cylinder-Wedge Body Shape Formula

Radius for Sphere-Cone Body Shape Example

Radius for Sphere-Cone Body Shape Solution

Radius for Sphere-Cone Body Shape Formula Elements

Other Formulas to find Radius

Other formulas in Hypersonic Flight Paths Velocity of Altitude Map category

How to Evaluate Radius for Sphere-Cone Body Shape?

FAQs on Radius for Sphere-Cone Body Shape

Variable Name

GoRadius for Cylinder-Wedge Body Shape Formula