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Modified Newtonian Law Formula

GoPressure Coefficient for Slender 2D Bodies Formula

GoPressure Coefficient for Slender Bodies of Revolution Formula

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The Pressure Coefficient is a dimensionless number that represents the relative pressure difference at a point in a fluid flow compared to the surrounding atmospheric pressure. Check FAQs

C p = C p,max \cdot {(\sin (θ))}^{2}

C_p - Pressure Coefficient?C_p,max - Maximum Pressure Coefficient?θ - Angle of Inclination?

Modified Newtonian Law Example

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Here is how the Modified Newtonian Law equation looks like with Values.

Here is how the Modified Newtonian Law equation looks like with Units.

Here is how the Modified Newtonian Law equation looks like.

0.8172 = 2.9102 \cdot {(\sin (32))}^{2}

0.8172 = 2.9102 \cdot {(\sin (32°))}^{2}

0.8172 = 2.9102 \cdot {(\sin (32))}^{2}

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Modified Newtonian Law Solution

Follow our step by step solution on how to calculate Modified Newtonian Law?

FIRST Step Consider the formula

C p = C p,max \cdot {(\sin (θ))}^{2}

Next Step Substitute values of Variables

∴

C p = 2.9102 \cdot {(\sin (32°))}^{2}

Next Step Convert Units

∴

C p = 2.9102 \cdot {(\sin (0.5585rad))}^{2}

Next Step Prepare to Evaluate

∴

C p = 2.9102 \cdot {(\sin (0.5585))}^{2}

Next Step Evaluate

∴

C p = 0.817213788472167

LAST Step Rounding Answer

∴

C p = 0.8172

Modified Newtonian Law Formula Elements

Variables

Functions

Pressure Coefficient

The Pressure Coefficient is a dimensionless number that represents the relative pressure difference at a point in a fluid flow compared to the surrounding atmospheric pressure.

Symbol: C_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Coefficient

Maximum Pressure Coefficient

The Maximum Pressure Coefficient is the highest value of pressure difference across a surface in hypersonic flow, indicating the intensity of aerodynamic forces acting on the object.

Symbol: C_p,max

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Maximum Pressure Coefficient

Angle of Inclination

The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Pressure Coefficient

Go Pressure Coefficient for Slender 2D Bodies

C p = 2 \cdot ({(θ)}^{2} + k c \cdot y)

Go Pressure Coefficient for Slender Bodies of Revolution

C p = 2 \cdot {(θ)}^{2} + k c \cdot y

Other formulas in Newtonian Flow category

Go Exact Normal Shock Wave Maximum Coefficient of Pressure

C p,max = \frac{2}{Y \cdot M^{2}} \cdot (\frac{P T}{P} - 1)

Go Coefficient of Lift Equation with Angle of Attack

C L = 2 \cdot {(\sin (α))}^{2} \cdot \cos (α)

Go Maximum Pressure Coefficient

C p,max = \frac{P T - P}{0.5 \cdot ρ \cdot {V ∞}^{2}}

Go Coefficient of Lift Equation with Coefficient of Normal Force

C L = μ \cdot \cos (α)

How to Evaluate Modified Newtonian Law?

Modified Newtonian Law evaluator uses Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2 to evaluate the Pressure Coefficient, Modified Newtonian Law formula is defined as a principle that describes the behavior of fluid flow under hypersonic conditions, emphasizing the relationship between pressure coefficients and the angle of attack in fluid dynamics. Pressure Coefficient is denoted by C_p symbol.

How to evaluate Modified Newtonian Law using this online evaluator? To use this online evaluator for Modified Newtonian Law, enter Maximum Pressure Coefficient (C_p,max) & Angle of Inclination (θ) and hit the calculate button.

FAQs on Modified Newtonian Law

What is the formula to find Modified Newtonian Law?

The formula of Modified Newtonian Law is expressed as Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2. Here is an example- 0.089497 = 2.910156*(sin(0.55850536063808))^2.

How to calculate Modified Newtonian Law?

With Maximum Pressure Coefficient (C_p,max) & Angle of Inclination (θ) we can find Modified Newtonian Law using the formula - Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2. This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Pressure Coefficient?

Here are the different ways to Calculate Pressure Coefficient-

Pressure Coefficient=2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis)
Pressure Coefficient=2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis

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Modified Newtonian Law Formula

​GoPressure Coefficient for Slender 2D Bodies Formula

​GoPressure Coefficient for Slender Bodies of Revolution Formula

Modified Newtonian Law Example

Modified Newtonian Law Solution

Modified Newtonian Law Formula Elements

Other Formulas to find Pressure Coefficient

Other formulas in Newtonian Flow category

How to Evaluate Modified Newtonian Law?

FAQs on Modified Newtonian Law

Variable Name

GoPressure Coefficient for Slender 2D Bodies Formula

GoPressure Coefficient for Slender Bodies of Revolution Formula