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Wheel Base with All Wheel Braking on Rear Wheel Formula

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

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

b - Vehicle Wheelbase?W - Vehicle Weight?θ - Inclination Angle of Road?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?R_R - Normal Reaction at Rear Wheel?

Wheel Base with All Wheel Braking on Rear Wheel Example

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

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

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

2.8 = \frac{11000 \cdot \cos (5) \cdot (1.15 + 0.49 \cdot 0.065)}{11000 \cdot \cos (5) - 6332.83}

2.8m = \frac{11000N \cdot \cos (5°) \cdot (1.15m + 0.49 \cdot 0.065m)}{11000N \cdot \cos (5°) - 6332.83N}

2.8 = \frac{11000 \cdot \cos (5) \cdot (1.15 + 0.49 \cdot 0.065)}{11000 \cdot \cos (5) - 6332.83}

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Wheel Base with All Wheel Braking on Rear Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \frac{11000N \cdot \cos (5°) \cdot (1.15m + 0.49 \cdot 0.065m)}{11000N \cdot \cos (5°) - 6332.83N}

Next Step Convert Units

∴

b = \frac{11000N \cdot \cos (0.0873rad) \cdot (1.15m + 0.49 \cdot 0.065m)}{11000N \cdot \cos (0.0873rad) - 6332.83N}

Next Step Prepare to Evaluate

∴

b = \frac{11000 \cdot \cos (0.0873) \cdot (1.15 + 0.49 \cdot 0.065)}{11000 \cdot \cos (0.0873) - 6332.83}

Next Step Evaluate

∴

b = 2.80000152251604m

LAST Step Rounding Answer

∴

b = 2.8m

Wheel Base with All Wheel Braking on Rear Wheel Formula Elements

Variables

Functions

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

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

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

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

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

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 Wheel Base with All Wheel Braking on Rear Wheel?

Wheel Base with All Wheel Braking on Rear Wheel evaluator uses Vehicle Wheelbase = (Vehicle Weight*cos(Inclination Angle of Road)*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle))/(Vehicle Weight*cos(Inclination Angle of Road)-Normal Reaction at Rear Wheel) to evaluate the Vehicle Wheelbase, Wheel Base with All Wheel Braking on Rear Wheel formula is used to find the center distance between the front and the rear axle of the vehicle. Vehicle Wheelbase is denoted by b symbol.

How to evaluate Wheel Base with All Wheel Braking on Rear Wheel using this online evaluator? To use this online evaluator for Wheel Base with All Wheel Braking on Rear Wheel, enter Vehicle Weight (W), Inclination Angle of Road (θ), 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) & Normal Reaction at Rear Wheel (R_R) and hit the calculate button.

FAQs on Wheel Base with All Wheel Braking on Rear Wheel

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

The formula of Wheel Base with All Wheel Braking on Rear Wheel is expressed as Vehicle Wheelbase = (Vehicle Weight*cos(Inclination Angle of Road)*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle))/(Vehicle Weight*cos(Inclination Angle of Road)-Normal Reaction at Rear Wheel). Here is an example- 2.800002 = (11000*cos(0.0872664625997001)*(1.15+0.49*0.065))/(11000*cos(0.0872664625997001)-6332.83).

How to calculate Wheel Base with All Wheel Braking on Rear Wheel?

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

Can the Wheel Base with All Wheel Braking on Rear Wheel be negative?

No, the Wheel Base with All Wheel Braking on Rear Wheel, measured in Length cannot be negative.

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

Wheel Base with All Wheel Braking on Rear Wheel is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wheel Base with All Wheel Braking on Rear Wheel can be measured.

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Wheel Base with All Wheel Braking on Rear Wheel Formula

Wheel Base with All Wheel Braking on Rear Wheel Example

Wheel Base with All Wheel Braking on Rear Wheel Solution

Wheel Base with All Wheel Braking on Rear Wheel Formula Elements

Other formulas in Effects on Rear Wheel category

How to Evaluate Wheel Base with All Wheel Braking on Rear Wheel?

FAQs on Wheel Base with All Wheel Braking on Rear Wheel

Variable Name