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Nose Radius of Sphere Cone Formula

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Nose Radius of Sphere Cone is the radius of the rounded tip (or nose) of a conical shape that transitions into a spherical geometry. Check FAQs

r n = \frac{𝛿}{0.143 \cdot \exp (\frac{3.24}{M^{2}})}

r_n - Nose Radius of Sphere Cone?𝛿 - Local Shock-Detachment Distance?M - Mach Number?

Nose Radius of Sphere Cone Example

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Here is how the Nose Radius of Sphere Cone equation looks like with Values.

Here is how the Nose Radius of Sphere Cone equation looks like with Units.

Here is how the Nose Radius of Sphere Cone equation looks like.

157.8852 = \frac{23.75}{0.143 \cdot \exp (\frac{3.24}{8^{2}})}

157.8852mm = \frac{23.75mm}{0.143 \cdot \exp (\frac{3.24}{8^{2}})}

157.8852 = \frac{23.75}{0.143 \cdot \exp (\frac{3.24}{8^{2}})}

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Nose Radius of Sphere Cone Solution

Follow our step by step solution on how to calculate Nose Radius of Sphere Cone?

FIRST Step Consider the formula

r n = \frac{𝛿}{0.143 \cdot \exp (\frac{3.24}{M^{2}})}

Next Step Substitute values of Variables

∴

r n = \frac{23.75mm}{0.143 \cdot \exp (\frac{3.24}{8^{2}})}

Next Step Convert Units

∴

r n = \frac{0.0238m}{0.143 \cdot \exp (\frac{3.24}{8^{2}})}

Next Step Prepare to Evaluate

∴

r n = \frac{0.0238}{0.143 \cdot \exp (\frac{3.24}{8^{2}})}

Next Step Evaluate

∴

r n = 0.157885198822686m

Next Step Convert to Output's Unit

∴

r n = 157.885198822686mm

LAST Step Rounding Answer

∴

r n = 157.8852mm

Nose Radius of Sphere Cone Formula Elements

Variables

Functions

Nose Radius of Sphere Cone

Nose Radius of Sphere Cone is the radius of the rounded tip (or nose) of a conical shape that transitions into a spherical geometry.

Symbol: r_n

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nose Radius of Sphere Cone

Local Shock-Detachment Distance

Local shock-Detachment Distance is the distance of shock formation from leading edge.

Symbol: 𝛿

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Local Shock-Detachment Distance

Mach Number

Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

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 in Shock Dynamics and Aerodynamic Shape category

Go Grid Point Calculation for Shock Waves

ζ = \frac{y - b}{𝛿}

Go Mach Wave behind Shock

M 2 = \frac{V ∞ - W m}{c s}

Go Mach Wave behind Shock with Mach Infinity

M 1 = M - \frac{W}{c s}

Go Local Shock Velocity Equation

W = c s \cdot (M - M 1)

How to Evaluate Nose Radius of Sphere Cone?

Nose Radius of Sphere Cone evaluator uses Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2))) to evaluate the Nose Radius of Sphere Cone, The Nose Radius of Sphere Cone formula is defined as a measure of the radius of a sphere cone in hypersonic inviscid flow, which is a critical parameter in aerodynamics and aerospace engineering, used to study the behavior of fluids at high speeds and low densities. Nose Radius of Sphere Cone is denoted by r_n symbol.

How to evaluate Nose Radius of Sphere Cone using this online evaluator? To use this online evaluator for Nose Radius of Sphere Cone, enter Local Shock-Detachment Distance (𝛿) & Mach Number (M) and hit the calculate button.

FAQs on Nose Radius of Sphere Cone

What is the formula to find Nose Radius of Sphere Cone?

The formula of Nose Radius of Sphere Cone is expressed as Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2))). Here is an example- 157885.2 = 0.02375/(0.143*exp(3.24/(8^2))).

How to calculate Nose Radius of Sphere Cone?

With Local Shock-Detachment Distance (𝛿) & Mach Number (M) we can find Nose Radius of Sphere Cone using the formula - Nose Radius of Sphere Cone = Local Shock-Detachment Distance/(0.143*exp(3.24/(Mach Number^2))). This formula also uses Exponential Growth (exp) function(s).

Can the Nose Radius of Sphere Cone be negative?

No, the Nose Radius of Sphere Cone, measured in Length cannot be negative.

Which unit is used to measure Nose Radius of Sphere Cone?

Nose Radius of Sphere Cone is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Nose Radius of Sphere Cone can be measured.

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Nose Radius of Sphere Cone Formula

Nose Radius of Sphere Cone Example

Nose Radius of Sphere Cone Solution

Nose Radius of Sphere Cone Formula Elements

Other formulas in Shock Dynamics and Aerodynamic Shape category

How to Evaluate Nose Radius of Sphere Cone?

FAQs on Nose Radius of Sphere Cone

Variable Name