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

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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. Check FAQs

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

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

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

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Here is how the Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake equation looks like with Values.

Here is how the Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake equation looks like with Units.

Here is how the Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

x = 2.8m - 0.49 \cdot 0.065m - \frac{6332.83N \cdot 2.8m}{11000N \cdot \cos (0.0873rad)}

Next Step Prepare to Evaluate

∴

x = 2.8 - 0.49 \cdot 0.065 - \frac{6332.83 \cdot 2.8}{11000 \cdot \cos (0.0873)}

Next Step Evaluate

∴

x = 1.14999935736264m

LAST Step Rounding Answer

∴

x = 1.15m

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

Variables

Functions

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

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

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

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

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

Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake evaluator uses Horizontal Distance of C.G. from Rear Axle = Vehicle Wheelbase-Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle-(Normal Reaction at Rear Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road)) to evaluate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake formula is used to find the distance of the vehicle's center of gravity(C.G.) from the rear axle measured along with the wheelbase of the vehicle. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

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

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

What is the formula to find Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake?

The formula of Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake is expressed as Horizontal Distance of C.G. from Rear Axle = Vehicle Wheelbase-Friction Coefficient Between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle-(Normal Reaction at Rear Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road)). Here is an example- 1.149999 = 2.8-0.49*0.065-(6332.83*2.8)/(11000*cos(0.0872664625997001)).

How to calculate Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake?

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

Can the Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake be negative?

No, the Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake, measured in Length cannot be negative.

Which unit is used to measure Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake?

Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake can be measured.

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

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

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

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

Other formulas in Effects on Rear Wheel category

How to Evaluate Horizontal Distance of C.G from Rear Axle with Rear Wheel Brake?

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

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