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Height of C.G. at Front 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 - W \cdot x \cdot \frac{\cos (θ)}{R f}}{μ}

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

Height of C.G. at Front Wheel Example

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

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

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

0.0075 = \frac{2.4 - 15000 \cdot 1.3 \cdot \frac{\cos (12)}{7961.88}}{0.58}

0.0075m = \frac{2.4m - 15000N \cdot 1.3m \cdot \frac{\cos (12°)}{7961.88N}}{0.58}

0.0075 = \frac{2.4 - 15000 \cdot 1.3 \cdot \frac{\cos (12)}{7961.88}}{0.58}

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Height of C.G. at Front Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{2.4m - 15000N \cdot 1.3m \cdot \frac{\cos (12°)}{7961.88N}}{0.58}

Next Step Convert Units

∴

h = \frac{2.4m - 15000N \cdot 1.3m \cdot \frac{\cos (0.2094rad)}{7961.88N}}{0.58}

Next Step Prepare to Evaluate

∴

h = \frac{2.4 - 15000 \cdot 1.3 \cdot \frac{\cos (0.2094)}{7961.88}}{0.58}

Next Step Evaluate

∴

h = 0.00749991504575955m

LAST Step Rounding Answer

∴

h = 0.0075m

Height of C.G. at Front 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

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

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

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

Normal Reaction at The Front Wheel BFW

Normal Reaction at The Front Wheel BFW is the reaction force offered by the ground surface onto the front wheels.

Symbol: R_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at The Front Wheel 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 Front Wheel category

Go Horizontal Distance of C.G. from Rear Axle at Front Wheel

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

Go Normal Reaction Force on Front Wheel

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

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

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

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

FAQs on Height of C.G. at Front Wheel

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

The formula of Height of C.G. at Front Wheel is expressed as Height of C.G of Vehicle BFW = (Vehicle Wheelbase BFW-Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW)/Friction Coefficient Between Wheels And Ground BFW. Here is an example- 0.0075 = (2.4-15000*1.3*cos(0.20943951023928)/7961.88)/0.58.

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

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

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

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

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

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

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Height of C.G. at Front Wheel Formula

Height of C.G. at Front Wheel Example

Height of C.G. at Front Wheel Solution

Height of C.G. at Front Wheel Formula Elements

Other formulas in Effects on Front Wheel category

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

FAQs on Height of C.G. at Front Wheel

Variable Name