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Vehicle Weight with All Wheel Brake on Rear Wheel Formula

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

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

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

Vehicle Weight with All Wheel Brake on Rear Wheel Example

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Here is how the Vehicle Weight with All Wheel Brake on Rear Wheel equation looks like with Values.

Here is how the Vehicle Weight with All Wheel Brake on Rear Wheel equation looks like with Units.

Here is how the Vehicle Weight with All Wheel Brake on Rear Wheel equation looks like.

11000.0044 = \frac{6332.83}{(2.8 - 1.15 - 0.49 \cdot 0.065) \cdot \frac{\cos (5)}{2.8}}

11000.0044N = \frac{6332.83N}{(2.8m - 1.15m - 0.49 \cdot 0.065m) \cdot \frac{\cos (5°)}{2.8m}}

11000.0044 = \frac{6332.83}{(2.8 - 1.15 - 0.49 \cdot 0.065) \cdot \frac{\cos (5)}{2.8}}

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Vehicle Weight with All Wheel Brake on Rear Wheel Solution

Follow our step by step solution on how to calculate Vehicle Weight with All Wheel Brake on Rear Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = \frac{6332.83N}{(2.8m - 1.15m - 0.49 \cdot 0.065m) \cdot \frac{\cos (5°)}{2.8m}}

Next Step Convert Units

∴

W = \frac{6332.83N}{(2.8m - 1.15m - 0.49 \cdot 0.065m) \cdot \frac{\cos (0.0873rad)}{2.8m}}

Next Step Prepare to Evaluate

∴

W = \frac{6332.83}{(2.8 - 1.15 - 0.49 \cdot 0.065) \cdot \frac{\cos (0.0873)}{2.8}}

Next Step Evaluate

∴

W = 11000.0043685758N

LAST Step Rounding Answer

∴

W = 11000.0044N

Vehicle Weight with All Wheel Brake on Rear Wheel Formula Elements

Variables

Functions

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

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 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 Rear Wheel Reaction with All Wheel Braking

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

How to Evaluate Vehicle Weight with All Wheel Brake on Rear Wheel?

Vehicle Weight with All Wheel Brake on Rear Wheel evaluator uses Vehicle Weight = Normal Reaction at Rear Wheel/((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 Vehicle Weight, Vehicle Weight with All Wheel Brake on Rear Wheel formula is used to find the heaviness of the vehicle. Vehicle Weight is denoted by W symbol.

How to evaluate Vehicle Weight with All Wheel Brake on Rear Wheel using this online evaluator? To use this online evaluator for Vehicle Weight with All Wheel Brake on Rear Wheel, enter Normal Reaction at Rear Wheel (R_R), 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 Vehicle Weight with All Wheel Brake on Rear Wheel

What is the formula to find Vehicle Weight with All Wheel Brake on Rear Wheel?

The formula of Vehicle Weight with All Wheel Brake on Rear Wheel is expressed as Vehicle Weight = Normal Reaction at Rear Wheel/((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- 11000 = 6332.83/((2.8-1.15-0.49*0.065)*cos(0.0872664625997001)/(2.8)).

How to calculate Vehicle Weight with All Wheel Brake on Rear Wheel?

With Normal Reaction at Rear Wheel (R_R), 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 Vehicle Weight with All Wheel Brake on Rear Wheel using the formula - Vehicle Weight = Normal Reaction at Rear Wheel/((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 Vehicle Weight with All Wheel Brake on Rear Wheel be negative?

No, the Vehicle Weight with All Wheel Brake on Rear Wheel, measured in Force cannot be negative.

Which unit is used to measure Vehicle Weight with All Wheel Brake on Rear Wheel?

Vehicle Weight with All Wheel Brake on Rear Wheel is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Vehicle Weight with All Wheel Brake on Rear Wheel can be measured.

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Vehicle Weight with All Wheel Brake on Rear Wheel Formula

Vehicle Weight with All Wheel Brake on Rear Wheel Example

Vehicle Weight with All Wheel Brake on Rear Wheel Solution

Vehicle Weight with All Wheel Brake on Rear Wheel Formula Elements

Other formulas in Effects on Rear Wheel category

How to Evaluate Vehicle Weight with All Wheel Brake on Rear Wheel?

FAQs on Vehicle Weight with All Wheel Brake on Rear Wheel

Variable Name