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Radius of Curvature for Sphere Cone Body Shape Formula

GoRadius of Curvature for Cylinder Wedge Body Shape Formula

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The Radius of Curvature is the reciprocal of the curvature. Check FAQs

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

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

Radius of Curvature for Sphere Cone Body Shape Example

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

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

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

13622.3946 = 2355 \cdot 1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})

13622.3946mm = 2355mm \cdot 1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})

13622.3946 = 2355 \cdot 1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})

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Radius of Curvature for Sphere Cone Body Shape Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R curvature = 2355mm \cdot 1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})

Next Step Convert Units

∴

R curvature = 2.355m \cdot 1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})

Next Step Prepare to Evaluate

∴

R curvature = 2.355 \cdot 1.143 \cdot \exp (\frac{0.54}{{(1.4 - 1)}^{1.2}})

Next Step Evaluate

∴

R curvature = 13.6223945715331m

Next Step Convert to Output's Unit

∴

R curvature = 13622.3945715331mm

LAST Step Rounding Answer

∴

R curvature = 13622.3946mm

Radius of Curvature for Sphere Cone Body Shape Formula Elements

Variables

Functions

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

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

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 of Curvature

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}})

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 for Sphere-Cone Body Shape

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

Go Radius for Cylinder-Wedge Body Shape

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

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

Radius of Curvature for Sphere Cone Body Shape evaluator uses Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2) to evaluate 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 evaluate Radius of Curvature for Sphere Cone Body Shape using this online evaluator? To use this online evaluator for Radius of Curvature for Sphere Cone Body Shape, enter Radius (r) & Mach Number (M_r) and hit the calculate button.

FAQs on Radius of Curvature for Sphere Cone Body Shape

What is the formula to find Radius of Curvature for Sphere Cone Body Shape?

The formula of Radius of Curvature for Sphere Cone Body Shape is expressed as Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2). Here is an example- 1.4E+7 = 2.355*1.143*exp(0.54/(1.4-1)^1.2).

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

With Radius (r) & Mach Number (M_r) we can find Radius of Curvature for Sphere Cone Body Shape using the formula - Radius of Curvature = Radius*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 of Curvature?

Here are the different ways to Calculate Radius of Curvature-

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

Can the Radius of Curvature for Sphere Cone Body Shape be negative?

No, the Radius of Curvature for Sphere Cone Body Shape, measured in Length cannot be negative.

Which unit is used to measure Radius of Curvature for Sphere Cone Body Shape?

Radius of Curvature 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 of Curvature for Sphere Cone Body Shape can be measured.

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Radius of Curvature for Sphere Cone Body Shape Formula

​GoRadius of Curvature for Cylinder Wedge Body Shape Formula

Radius of Curvature for Sphere Cone Body Shape Example

Radius of Curvature for Sphere Cone Body Shape Solution

Radius of Curvature for Sphere Cone Body Shape Formula Elements

Other Formulas to find Radius of Curvature

Other formulas in Hypersonic Flight Paths Velocity of Altitude Map category

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

FAQs on Radius of Curvature for Sphere Cone Body Shape

Variable Name

GoRadius of Curvature for Cylinder Wedge Body Shape Formula