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Forces Acting Perpendicular to Body on Flight Path Formula

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The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow. Check FAQs

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

F_L - Lift Force?W - Weight?θ_i - Angle of Inclination?M - Mass?v - Velocity?r - Radius?

Forces Acting Perpendicular to Body on Flight Path Example

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Here is how the Forces Acting Perpendicular to Body on Flight Path equation looks like with Values.

Here is how the Forces Acting Perpendicular to Body on Flight Path equation looks like with Units.

Here is how the Forces Acting Perpendicular to Body on Flight Path equation looks like.

26983.6564 = 60000 \cdot \cos (12.771) - 32.23 \cdot \frac{48^{2}}{2355}

26983.6564N = 60000kg \cdot \cos (12.771°) - 32.23kg \cdot \frac{{48m/s}^{2}}{2355mm}

26983.6564 = 60000 \cdot \cos (12.771) - 32.23 \cdot \frac{48^{2}}{2355}

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Forces Acting Perpendicular to Body on Flight Path Solution

Follow our step by step solution on how to calculate Forces Acting Perpendicular to Body on Flight Path?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F L = 60000kg \cdot \cos (12.771°) - 32.23kg \cdot \frac{{48m/s}^{2}}{2355mm}

Next Step Convert Units

∴

F L = 60000kg \cdot \cos (0.2229rad) - 32.23kg \cdot \frac{{48m/s}^{2}}{2.355m}

Next Step Prepare to Evaluate

∴

F L = 60000 \cdot \cos (0.2229) - 32.23 \cdot \frac{48^{2}}{2.355}

Next Step Evaluate

∴

F L = 26983.6564321135N

LAST Step Rounding Answer

∴

F L = 26983.6564N

Forces Acting Perpendicular to Body on Flight Path Formula Elements

Variables

Functions

Lift Force

The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.

Symbol: F_L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Lift Force

Weight

Weight is a body's relative mass or the quantity of matter contained by it.

Symbol: W

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Weight

Angle of Inclination

Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 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}})}

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}})

How to Evaluate Forces Acting Perpendicular to Body on Flight Path?

Forces Acting Perpendicular to Body on Flight Path evaluator uses Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius to evaluate the Lift Force, Forces Acting Perpendicular to Body on Flight Path formula is defined as the measure of the net force exerted on an object moving at hypersonic velocities, taking into account the weight of the object, its velocity, and the radius of its flight path, providing crucial data for velocity of altitude maps in hypersonic flight paths. Lift Force is denoted by F_L symbol.

How to evaluate Forces Acting Perpendicular to Body on Flight Path using this online evaluator? To use this online evaluator for Forces Acting Perpendicular to Body on Flight Path, enter Weight (W), Angle of Inclination (θ_i), Mass (M), Velocity (v) & Radius (r) and hit the calculate button.

FAQs on Forces Acting Perpendicular to Body on Flight Path

What is the formula to find Forces Acting Perpendicular to Body on Flight Path?

The formula of Forces Acting Perpendicular to Body on Flight Path is expressed as Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius. Here is an example- -31473.509796 = 60000*cos(0.222895998772154)-32.23*(48^2)/2.355.

How to calculate Forces Acting Perpendicular to Body on Flight Path?

With Weight (W), Angle of Inclination (θ_i), Mass (M), Velocity (v) & Radius (r) we can find Forces Acting Perpendicular to Body on Flight Path using the formula - Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius. This formula also uses Cosine (cos) function(s).

Can the Forces Acting Perpendicular to Body on Flight Path be negative?

No, the Forces Acting Perpendicular to Body on Flight Path, measured in Force cannot be negative.

Which unit is used to measure Forces Acting Perpendicular to Body on Flight Path?

Forces Acting Perpendicular to Body on Flight Path is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Forces Acting Perpendicular to Body on Flight Path can be measured.

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Forces Acting Perpendicular to Body on Flight Path Formula

Forces Acting Perpendicular to Body on Flight Path Example

Forces Acting Perpendicular to Body on Flight Path Solution

Forces Acting Perpendicular to Body on Flight Path Formula Elements

Other formulas in Hypersonic Flight Paths Velocity of Altitude Map category

How to Evaluate Forces Acting Perpendicular to Body on Flight Path?

FAQs on Forces Acting Perpendicular to Body on Flight Path

Variable Name