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Height of C.G. at Rear Wheel Formula

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Height of C.G of Vehicle BFW 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 - \frac{x}{1 - (\frac{R r}{W \cdot \cos (θ)})}}{μ}

h - Height of C.G of Vehicle BFW?b - Vehicle Wheelbase BFW?x - Horizontal Distance of C.G. From Rear Axle BFW?R_r - Normal Reaction at Rear Wheel BFW?W - Vehicle Weight BFW?θ - Road Inclination Angle BFW?μ - Friction Coefficient Between Wheels And Ground BFW?

Height of C.G. at Rear Wheel Example

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Here is how the Height of C.G. at Rear Wheel equation looks like with Values.

Here is how the Height of C.G. at Rear Wheel equation looks like with Units.

Here is how the Height of C.G. at Rear Wheel equation looks like.

0.0075 = \frac{2.4 - \frac{1.3}{1 - (\frac{6710.334}{15000 \cdot \cos (12)})}}{0.58}

0.0075m = \frac{2.4m - \frac{1.3m}{1 - (\frac{6710.334N}{15000N \cdot \cos (12°)})}}{0.58}

0.0075 = \frac{2.4 - \frac{1.3}{1 - (\frac{6710.334}{15000 \cdot \cos (12)})}}{0.58}

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Height of C.G. at Rear Wheel Solution

Follow our step by step solution on how to calculate Height of C.G. at Rear Wheel?

FIRST Step Consider the formula

h = \frac{b - \frac{x}{1 - (\frac{R r}{W \cdot \cos (θ)})}}{μ}

Next Step Substitute values of Variables

∴

h = \frac{2.4m - \frac{1.3m}{1 - (\frac{6710.334N}{15000N \cdot \cos (12°)})}}{0.58}

Next Step Convert Units

∴

h = \frac{2.4m - \frac{1.3m}{1 - (\frac{6710.334N}{15000N \cdot \cos (0.2094rad)})}}{0.58}

Next Step Prepare to Evaluate

∴

h = \frac{2.4 - \frac{1.3}{1 - (\frac{6710.334}{15000 \cdot \cos (0.2094)})}}{0.58}

Next Step Evaluate

∴

h = 0.00749992075603395m

LAST Step Rounding Answer

∴

h = 0.0075m

Height of C.G. at Rear Wheel Formula Elements

Variables

Functions

Height of C.G of Vehicle BFW

Height of C.G of Vehicle BFW 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 C.G of Vehicle BFW

Vehicle Wheelbase BFW

Vehicle Wheelbase BFW 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 BFW

Horizontal Distance of C.G. From Rear Axle BFW

Horizontal Distance of C.G. From Rear Axle BFW 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 BFW

Normal Reaction at Rear Wheel BFW

Normal Reaction at Rear Wheel BFW 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 BFW

Vehicle Weight BFW

Vehicle Weight BFW 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 BFW

Road Inclination Angle BFW

Road Inclination Angle BFW 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 Road Inclination Angle BFW

Friction Coefficient Between Wheels And Ground BFW

Friction Coefficient Between Wheels And Ground BFW 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 BFW

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 Wheels and Road Surface at Rear Wheel

μ = \frac{b - \frac{x}{1 - \frac{R r}{W \cdot \cos (θ)}}}{h}

Go Normal Reaction Force on Rear Wheel

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

How to Evaluate Height of C.G. at Rear Wheel?

Height of C.G. at Rear Wheel evaluator uses Height of C.G of Vehicle BFW = (Vehicle Wheelbase BFW-Horizontal Distance of C.G. From Rear Axle BFW/(1-(Normal Reaction at Rear Wheel BFW/(Vehicle Weight BFW*cos(Road Inclination Angle BFW)))))/Friction Coefficient Between Wheels And Ground BFW to evaluate the Height of C.G of Vehicle BFW, Height of C.G. at Rear Wheel 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 act. Height of C.G of Vehicle BFW is denoted by h symbol.

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

FAQs on Height of C.G. at Rear Wheel

What is the formula to find Height of C.G. at Rear Wheel?

The formula of Height of C.G. at Rear Wheel is expressed as Height of C.G of Vehicle BFW = (Vehicle Wheelbase BFW-Horizontal Distance of C.G. From Rear Axle BFW/(1-(Normal Reaction at Rear Wheel BFW/(Vehicle Weight BFW*cos(Road Inclination Angle BFW)))))/Friction Coefficient Between Wheels And Ground BFW. Here is an example- 0.0075 = (2.4-1.3/(1-(6710.334/(15000*cos(0.20943951023928)))))/0.58.

How to calculate Height of C.G. at Rear Wheel?

With Vehicle Wheelbase BFW (b), Horizontal Distance of C.G. From Rear Axle BFW (x), Normal Reaction at Rear Wheel BFW (R_r), Vehicle Weight BFW (W), Road Inclination Angle BFW (θ) & Friction Coefficient Between Wheels And Ground BFW (μ) we can find Height of C.G. at Rear Wheel using the formula - Height of C.G of Vehicle BFW = (Vehicle Wheelbase BFW-Horizontal Distance of C.G. From Rear Axle BFW/(1-(Normal Reaction at Rear Wheel BFW/(Vehicle Weight BFW*cos(Road Inclination Angle BFW)))))/Friction Coefficient Between Wheels And Ground BFW. This formula also uses Cosine (cos) function(s).

Can the Height of C.G. at Rear Wheel be negative?

No, the Height of C.G. at Rear Wheel, measured in Length cannot be negative.

Which unit is used to measure Height of C.G. at Rear Wheel?

Height of C.G. at Rear Wheel 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. at Rear Wheel can be measured.

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Height of C.G. at Rear Wheel Formula

Height of C.G. at Rear Wheel Example

Height of C.G. at Rear Wheel Solution

Height of C.G. at Rear Wheel Formula Elements

Other formulas in Effects on Rear Wheel category

How to Evaluate Height of C.G. at Rear Wheel?

FAQs on Height of C.G. at Rear Wheel

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