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Horizontal Distance of C.G. from Rear Axle at Rear Wheel Formula

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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. Check FAQs

x = (b - μ 0 \cdot h) \cdot (1 - \frac{R r}{W \cdot \cos (θ)})

x - Horizontal Distance of C.G. From Rear Axle BFW?b - Vehicle Wheelbase BFW?μ₀ - Friction Coefficient For Smooth Road BFW?h - Height of C.G of Vehicle BFW?R_r - Normal Reaction at Rear Wheel BFW?W - Vehicle Weight BFW?θ - Road Inclination Angle BFW?

Horizontal Distance of C.G. from Rear Axle at Rear Wheel Example

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

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

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

1.3016 = (2.4 - 0.18 \cdot 0.0075) \cdot (1 - \frac{6710.334}{15000 \cdot \cos (12)})

1.3016m = (2.4m - 0.18 \cdot 0.0075m) \cdot (1 - \frac{6710.334N}{15000N \cdot \cos (12°)})

1.3016 = (2.4 - 0.18 \cdot 0.0075) \cdot (1 - \frac{6710.334}{15000 \cdot \cos (12)})

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Horizontal Distance of C.G. from Rear Axle at Rear Wheel Solution

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

FIRST Step Consider the formula

x = (b - μ 0 \cdot h) \cdot (1 - \frac{R r}{W \cdot \cos (θ)})

Next Step Substitute values of Variables

∴

x = (2.4m - 0.18 \cdot 0.0075m) \cdot (1 - \frac{6710.334N}{15000N \cdot \cos (12°)})

Next Step Convert Units

∴

x = (2.4m - 0.18 \cdot 0.0075m) \cdot (1 - \frac{6710.334N}{15000N \cdot \cos (0.2094rad)})

Next Step Prepare to Evaluate

∴

x = (2.4 - 0.18 \cdot 0.0075) \cdot (1 - \frac{6710.334}{15000 \cdot \cos (0.2094)})

Next Step Evaluate

∴

x = 1.30162792568832m

LAST Step Rounding Answer

∴

x = 1.3016m

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

Variables

Functions

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

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

Friction Coefficient For Smooth Road BFW

Friction Coefficient For Smooth Road BFW is the friction coefficient generated between wheels and smooth road when the brakes are applied.

Symbol: μ₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient For Smooth Road BFW

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

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

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 Horizontal Distance of C.G. from Rear Axle at Rear Wheel?

Horizontal Distance of C.G. from Rear Axle at Rear Wheel evaluator uses Horizontal Distance of C.G. From Rear Axle BFW = (Vehicle Wheelbase BFW-Friction Coefficient For Smooth Road BFW*Height of C.G of Vehicle BFW)*(1-Normal Reaction at Rear Wheel BFW/(Vehicle Weight BFW*cos(Road Inclination Angle BFW))) to evaluate the Horizontal Distance of C.G. From Rear Axle BFW, Horizontal Distance of C.G. from Rear Axle at Rear Wheel formula is used to find the distance of vehicle's center of gravity(C.G.) from the rear axle measured along the wheelbase of the vehicle. Horizontal Distance of C.G. From Rear Axle BFW is denoted by x symbol.

How to evaluate Horizontal Distance of C.G. from Rear Axle at Rear Wheel using this online evaluator? To use this online evaluator for Horizontal Distance of C.G. from Rear Axle at Rear Wheel, enter Vehicle Wheelbase BFW (b), Friction Coefficient For Smooth Road BFW (μ₀), Height of C.G of Vehicle BFW (h), Normal Reaction at Rear Wheel BFW (R_r), Vehicle Weight BFW (W) & Road Inclination Angle BFW (θ) and hit the calculate button.

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

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

The formula of Horizontal Distance of C.G. from Rear Axle at Rear Wheel is expressed as Horizontal Distance of C.G. From Rear Axle BFW = (Vehicle Wheelbase BFW-Friction Coefficient For Smooth Road BFW*Height of C.G of Vehicle BFW)*(1-Normal Reaction at Rear Wheel BFW/(Vehicle Weight BFW*cos(Road Inclination Angle BFW))). Here is an example- 1.301628 = (2.4-0.18*0.0075)*(1-6710.334/(15000*cos(0.20943951023928))).

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

With Vehicle Wheelbase BFW (b), Friction Coefficient For Smooth Road BFW (μ₀), Height of C.G of Vehicle BFW (h), Normal Reaction at Rear Wheel BFW (R_r), Vehicle Weight BFW (W) & Road Inclination Angle BFW (θ) we can find Horizontal Distance of C.G. from Rear Axle at Rear Wheel using the formula - Horizontal Distance of C.G. From Rear Axle BFW = (Vehicle Wheelbase BFW-Friction Coefficient For Smooth Road BFW*Height of C.G of Vehicle BFW)*(1-Normal Reaction at Rear Wheel BFW/(Vehicle Weight BFW*cos(Road Inclination Angle BFW))). This formula also uses Cosine (cos) function(s).

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

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

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

Horizontal Distance of C.G. from Rear Axle 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 Horizontal Distance of C.G. from Rear Axle at Rear Wheel can be measured.

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Horizontal Distance of C.G. from Rear Axle at Rear Wheel Formula

Horizontal Distance of C.G. from Rear Axle at Rear Wheel Example

Horizontal Distance of C.G. from Rear Axle at Rear Wheel Solution

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

Other formulas in Effects on Rear Wheel category

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

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

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