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Height of C.G. from Road Surface with Rear Wheel Brake Formula

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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. Check FAQs

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

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

Height of C.G. from Road Surface with Rear Wheel Brake Example

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Here is how the Height of C.G. from Road Surface with Rear Wheel Brake equation looks like with Values.

Here is how the Height of C.G. from Road Surface with Rear Wheel Brake equation looks like with Units.

Here is how the Height of C.G. from Road Surface with Rear Wheel Brake equation looks like.

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

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

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

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Height of C.G. from Road Surface with Rear Wheel Brake Solution

Follow our step by step solution on how to calculate Height of C.G. from Road Surface with Rear Wheel Brake?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

h = \frac{2.8m - 1.15m - \frac{6332.83N \cdot 2.8m}{11000N \cdot \cos (0.0873rad)}}{0.49}

Next Step Prepare to Evaluate

∴

h = \frac{2.8 - 1.15 - \frac{6332.83 \cdot 2.8}{11000 \cdot \cos (0.0873)}}{0.49}

Next Step Evaluate

∴

h = 0.0649986884951845m

LAST Step Rounding Answer

∴

h = 0.065m

Height of C.G. from Road Surface with Rear Wheel Brake Formula Elements

Variables

Functions

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

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

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

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

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 Height of C.G. from Road Surface with Rear Wheel Brake?

Height of C.G. from Road Surface with Rear Wheel Brake evaluator uses Height of Center of Gravity (C.G.) of Vehicle = (Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle-(Normal Reaction at Rear Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road)))/Friction Coefficient Between Wheels and Ground to evaluate the Height of Center of Gravity (C.G.) of Vehicle, Height of C.G. from Road Surface with Rear Wheel Brake formula is used to find the height of the theoretical point where the sum of all of the masses of each of its individual components effectively acts. Height of Center of Gravity (C.G.) of Vehicle is denoted by h symbol.

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

FAQs on Height of C.G. from Road Surface with Rear Wheel Brake

What is the formula to find Height of C.G. from Road Surface with Rear Wheel Brake?

The formula of Height of C.G. from Road Surface with Rear Wheel Brake is expressed as Height of Center of Gravity (C.G.) of Vehicle = (Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle-(Normal Reaction at Rear Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road)))/Friction Coefficient Between Wheels and Ground. Here is an example- 0.064999 = (2.8-1.15-(6332.83*2.8)/(11000*cos(0.0872664625997001)))/0.49.

How to calculate Height of C.G. from Road Surface with Rear Wheel Brake?

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

Can the Height of C.G. from Road Surface with Rear Wheel Brake be negative?

No, the Height of C.G. from Road Surface with Rear Wheel Brake, measured in Length cannot be negative.

Which unit is used to measure Height of C.G. from Road Surface with Rear Wheel Brake?

Height of C.G. from Road Surface 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 Height of C.G. from Road Surface with Rear Wheel Brake can be measured.

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Height of C.G. from Road Surface with Rear Wheel Brake Formula

Height of C.G. from Road Surface with Rear Wheel Brake Example

Height of C.G. from Road Surface with Rear Wheel Brake Solution

Height of C.G. from Road Surface with Rear Wheel Brake Formula Elements

Other formulas in Effects on Rear Wheel category

How to Evaluate Height of C.G. from Road Surface with Rear Wheel Brake?

FAQs on Height of C.G. from Road Surface with Rear Wheel Brake

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