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Front Wheel Reaction with All Wheel Braking Formula

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

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

R_F - Normal Reaction at the Front Wheel?W - Vehicle Weight?x - Horizontal Distance of C.G. from Rear Axle?μ - Friction Coefficient Between Wheels and Ground?h - Height of Center of Gravity (C.G.) of Vehicle?θ - Inclination Angle of Road?b - Vehicle Wheelbase?

Front Wheel Reaction with All Wheel Braking Example

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Here is how the Front Wheel Reaction with All Wheel Braking equation looks like with Values.

Here is how the Front Wheel Reaction with All Wheel Braking equation looks like with Units.

Here is how the Front Wheel Reaction with All Wheel Braking equation looks like.

4625.3142 = 11000 \cdot (1.15 + 0.49 \cdot 0.065) \cdot \frac{\cos (5)}{2.8}

4625.3142N = 11000N \cdot (1.15m + 0.49 \cdot 0.065m) \cdot \frac{\cos (5°)}{2.8m}

4625.3142 = 11000 \cdot (1.15 + 0.49 \cdot 0.065) \cdot \frac{\cos (5)}{2.8}

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Front Wheel Reaction with All Wheel Braking Solution

Follow our step by step solution on how to calculate Front Wheel Reaction with All Wheel Braking?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R F = 11000N \cdot (1.15m + 0.49 \cdot 0.065m) \cdot \frac{\cos (5°)}{2.8m}

Next Step Convert Units

∴

R F = 11000N \cdot (1.15m + 0.49 \cdot 0.065m) \cdot \frac{\cos (0.0873rad)}{2.8m}

Next Step Prepare to Evaluate

∴

R F = 11000 \cdot (1.15 + 0.49 \cdot 0.065) \cdot \frac{\cos (0.0873)}{2.8}

Next Step Evaluate

∴

R F = 4625.31419404894N

LAST Step Rounding Answer

∴

R F = 4625.3142N

Front Wheel Reaction with All Wheel Braking Formula Elements

Variables

Functions

Normal Reaction at the Front Wheel

Normal Reaction at the Front Wheel 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

Vehicle Weight

Vehicle Weight 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

Horizontal Distance of C.G. from Rear Axle

Horizontal Distance of C.G. from Rear Axle 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

Friction Coefficient Between Wheels and Ground

Friction Coefficient between Wheels and Ground 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

Height of Center of Gravity (C.G.) of Vehicle

Height of Center of Gravity (C.G.) of Vehicle 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 Center of Gravity (C.G.) of Vehicle

Inclination Angle of Road

Inclination Angle 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 Inclination Angle of Road

Vehicle Wheelbase

Vehicle Wheelbase 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

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 Horizontal Distance of C.G from Rear Axle with Front Wheel Brake

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

Go Height of C.G. from Road Surface with Front Wheel Brake

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

How to Evaluate Front Wheel Reaction with All Wheel Braking?

Front Wheel Reaction with All Wheel Braking evaluator uses Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase) to evaluate the Normal Reaction at the Front Wheel, Front Wheel Reaction with All Wheel Braking formula is used to find the reaction force offered by the road surface onto the front wheel. Normal Reaction at the Front Wheel is denoted by R_F symbol.

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

FAQs on Front Wheel Reaction with All Wheel Braking

What is the formula to find Front Wheel Reaction with All Wheel Braking?

The formula of Front Wheel Reaction with All Wheel Braking is expressed as Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase). Here is an example- 4625.314 = 11000*(1.15+0.49*0.065)*cos(0.0872664625997001)/(2.8).

How to calculate Front Wheel Reaction with All Wheel Braking?

With Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient Between Wheels and Ground (μ), Height of Center of Gravity (C.G.) of Vehicle (h), Inclination Angle of Road (θ) & Vehicle Wheelbase (b) we can find Front Wheel Reaction with All Wheel Braking using the formula - Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase). This formula also uses Cosine (cos) function(s).

Can the Front Wheel Reaction with All Wheel Braking be negative?

No, the Front Wheel Reaction with All Wheel Braking, measured in Force cannot be negative.

Which unit is used to measure Front Wheel Reaction with All Wheel Braking?

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

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Front Wheel Reaction with All Wheel Braking Formula

Front Wheel Reaction with All Wheel Braking Example

Front Wheel Reaction with All Wheel Braking Solution

Front Wheel Reaction with All Wheel Braking Formula Elements

Other formulas in Effects on Front Wheel category

How to Evaluate Front Wheel Reaction with All Wheel Braking?

FAQs on Front Wheel Reaction with All Wheel Braking

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