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Normal Reaction Force on Front Wheel Formula

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Normal Reaction at The Front Wheel BFW is the reaction force offered by the ground surface onto the front wheels. Check FAQs

R f = \frac{W \cdot x \cdot \cos (θ)}{b - μ \cdot h}

R_f - Normal Reaction at The Front Wheel BFW?W - Vehicle Weight BFW?x - Horizontal Distance of C.G. From Rear Axle BFW?θ - Road Inclination Angle BFW?b - Vehicle Wheelbase BFW?μ - Friction Coefficient Between Wheels And Ground BFW?h - Height of C.G of Vehicle BFW?

Normal Reaction Force on Front Wheel Example

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Here is how the Normal Reaction Force on Front Wheel equation looks like with Values.

Here is how the Normal Reaction Force on Front Wheel equation looks like with Units.

Here is how the Normal Reaction Force on Front Wheel equation looks like.

7961.8802 = \frac{15000 \cdot 1.3 \cdot \cos (12)}{2.4 - 0.58 \cdot 0.0075}

7961.8802N = \frac{15000N \cdot 1.3m \cdot \cos (12°)}{2.4m - 0.58 \cdot 0.0075m}

7961.8802 = \frac{15000 \cdot 1.3 \cdot \cos (12)}{2.4 - 0.58 \cdot 0.0075}

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Normal Reaction Force on Front Wheel Solution

Follow our step by step solution on how to calculate Normal Reaction Force on Front Wheel?

FIRST Step Consider the formula

R f = \frac{W \cdot x \cdot \cos (θ)}{b - μ \cdot h}

Next Step Substitute values of Variables

∴

R f = \frac{15000N \cdot 1.3m \cdot \cos (12°)}{2.4m - 0.58 \cdot 0.0075m}

Next Step Convert Units

∴

R f = \frac{15000N \cdot 1.3m \cdot \cos (0.2094rad)}{2.4m - 0.58 \cdot 0.0075m}

Next Step Prepare to Evaluate

∴

R f = \frac{15000 \cdot 1.3 \cdot \cos (0.2094)}{2.4 - 0.58 \cdot 0.0075}

Next Step Evaluate

∴

R f = 7961.88016375905N

LAST Step Rounding Answer

∴

R f = 7961.8802N

Normal Reaction Force on Front Wheel Formula Elements

Variables

Functions

Normal Reaction at The Front Wheel BFW

Normal Reaction at The Front Wheel BFW is the reaction force offered by the ground surface onto the front wheels.

Symbol: R_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at The Front Wheel BFW

Vehicle Weight BFW

Vehicle Weight BFW is the heaviness of the vehicle, generally expressed in Newtons.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vehicle Weight BFW

Horizontal Distance of C.G. From Rear Axle BFW

Horizontal Distance of C.G. From Rear Axle BFW is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance of C.G. From Rear Axle BFW

Road Inclination Angle BFW

Road Inclination Angle BFW of Road is the angle which the road surface is making with the horizontal.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Road Inclination Angle BFW

Vehicle Wheelbase BFW

Vehicle Wheelbase BFW is the center distance between the front and the rear axle of the vehicle.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vehicle Wheelbase BFW

Friction Coefficient Between Wheels And Ground BFW

Friction Coefficient Between Wheels And Ground BFW is the friction coefficient which is generated between wheels and ground when the brakes are applied.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient Between Wheels And Ground BFW

Height of C.G of Vehicle BFW

Height of C.G of Vehicle BFW is the theoretical point where the sum of all of the masses of each of its individual components effectively act.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of C.G of Vehicle BFW

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 Effects on Front Wheel category

Go Height of C.G. at Front Wheel

h = \frac{b - W \cdot x \cdot \frac{\cos (θ)}{R f}}{μ}

Go Horizontal Distance of C.G. from Rear Axle at Front Wheel

x = \frac{(b - μ \cdot h) \cdot R f}{W \cdot \cos (θ)}

How to Evaluate Normal Reaction Force on Front Wheel?

Normal Reaction Force on Front Wheel evaluator uses Normal Reaction at The Front Wheel BFW = (Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW) to evaluate the Normal Reaction at The Front Wheel BFW, Normal reaction force on front wheel formula is used to find the reaction force offered by the road surface onto the front wheel. Normal Reaction at The Front Wheel BFW is denoted by R_f symbol.

How to evaluate Normal Reaction Force on Front Wheel using this online evaluator? To use this online evaluator for Normal Reaction Force on Front Wheel, enter Vehicle Weight BFW (W), Horizontal Distance of C.G. From Rear Axle BFW (x), Road Inclination Angle BFW (θ), Vehicle Wheelbase BFW (b), Friction Coefficient Between Wheels And Ground BFW (μ) & Height of C.G of Vehicle BFW (h) and hit the calculate button.

FAQs on Normal Reaction Force on Front Wheel

What is the formula to find Normal Reaction Force on Front Wheel?

The formula of Normal Reaction Force on Front Wheel is expressed as Normal Reaction at The Front Wheel BFW = (Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW). Here is an example- 7961.88 = (15000*1.3*cos(0.20943951023928))/(2.4-0.58*0.0075).

How to calculate Normal Reaction Force on Front Wheel?

With Vehicle Weight BFW (W), Horizontal Distance of C.G. From Rear Axle BFW (x), Road Inclination Angle BFW (θ), Vehicle Wheelbase BFW (b), Friction Coefficient Between Wheels And Ground BFW (μ) & Height of C.G of Vehicle BFW (h) we can find Normal Reaction Force on Front Wheel using the formula - Normal Reaction at The Front Wheel BFW = (Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW). This formula also uses Cosine (cos) function(s).

Can the Normal Reaction Force on Front Wheel be negative?

No, the Normal Reaction Force on Front Wheel, measured in Force cannot be negative.

Which unit is used to measure Normal Reaction Force on Front Wheel?

Normal Reaction Force on Front Wheel is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Reaction Force on Front Wheel can be measured.

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Normal Reaction Force on Front Wheel Formula

Normal Reaction Force on Front Wheel Example

Normal Reaction Force on Front Wheel Solution

Normal Reaction Force on Front Wheel Formula Elements

Other formulas in Effects on Front Wheel category

How to Evaluate Normal Reaction Force on Front Wheel?

FAQs on Normal Reaction Force on Front Wheel

Variable Name