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Rear Wheel Reaction with All Wheel Braking Formula

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Normal Reaction at Rear Wheel is the reaction force offered by the ground surface onto the rear wheel. Check FAQs

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

R_R - Normal Reaction at Rear Wheel?W - Vehicle Weight?b - Vehicle Wheelbase?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?

Rear Wheel Reaction with All Wheel Braking Example

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

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

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

6332.8275 = 11000 \cdot (2.8 - 1.15 - 0.49 \cdot 0.065) \cdot \frac{\cos (5)}{2.8}

6332.8275N = 11000N \cdot (2.8m - 1.15m - 0.49 \cdot 0.065m) \cdot \frac{\cos (5°)}{2.8m}

6332.8275 = 11000 \cdot (2.8 - 1.15 - 0.49 \cdot 0.065) \cdot \frac{\cos (5)}{2.8}

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Rear Wheel Reaction with All Wheel Braking Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R R = 6332.82748496027N

LAST Step Rounding Answer

∴

R R = 6332.8275N

Rear Wheel Reaction with All Wheel Braking Formula Elements

Variables

Functions

Normal Reaction at Rear Wheel

Normal Reaction at Rear Wheel is the reaction force offered by the ground surface onto the rear wheel.

Symbol: R_R

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at Rear 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

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

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

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 Rear Wheel category

Go Friction Coefficient between Wheel and Road Surface with Rear Wheel Brake

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

Go Vehicle Weight with All Wheel Brake on Rear Wheel

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

How to Evaluate Rear Wheel Reaction with All Wheel Braking?

Rear Wheel Reaction with All Wheel Braking evaluator uses Normal Reaction at Rear Wheel = Vehicle Weight*(Vehicle Wheelbase-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 Rear Wheel, Rear 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 Rear Wheel is denoted by R_R symbol.

How to evaluate Rear Wheel Reaction with All Wheel Braking using this online evaluator? To use this online evaluator for Rear Wheel Reaction with All Wheel Braking, enter Vehicle Weight (W), Vehicle Wheelbase (b), 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) and hit the calculate button.

FAQs on Rear Wheel Reaction with All Wheel Braking

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

The formula of Rear Wheel Reaction with All Wheel Braking is expressed as Normal Reaction at Rear Wheel = Vehicle Weight*(Vehicle Wheelbase-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- 6332.827 = 11000*(2.8-1.15-0.49*0.065)*cos(0.0872664625997001)/(2.8).

How to calculate Rear Wheel Reaction with All Wheel Braking?

With Vehicle Weight (W), Vehicle Wheelbase (b), 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) we can find Rear Wheel Reaction with All Wheel Braking using the formula - Normal Reaction at Rear Wheel = Vehicle Weight*(Vehicle Wheelbase-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 Rear Wheel Reaction with All Wheel Braking be negative?

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

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

Rear 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 Rear Wheel Reaction with All Wheel Braking can be measured.

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Rear Wheel Reaction with All Wheel Braking Formula

Rear Wheel Reaction with All Wheel Braking Example

Rear Wheel Reaction with All Wheel Braking Solution

Rear Wheel Reaction with All Wheel Braking Formula Elements

Other formulas in Effects on Rear Wheel category

How to Evaluate Rear Wheel Reaction with All Wheel Braking?

FAQs on Rear Wheel Reaction with All Wheel Braking

Variable Name