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Height of C.G. from Road Surface on Front Wheel Formula

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Height of C.G. of Vehicle is the vertical distance of the center of gravity from the ground level of a racing car during rear wheel braking. Check FAQs

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

h - Height of C.G. of Vehicle?W - Vehicle Weight?b - Vehicle Wheelbase?x - Horizontal Distance of C.G. from Rear Axle?θ - Road Inclination Angle?R_F - Normal Reaction at Front Wheel?μ_FW - Friction Coefficient on Front Wheel?

Height of C.G. from Road Surface on Front Wheel Example

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

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

Here is how the Height of C.G. from Road Surface on Front Wheel equation looks like.

0.0079 = \frac{13000 \cdot (2.7 - 1.2) \cdot \frac{\cos (10)}{7103} - 2.7}{0.456}

0.0079m = \frac{13000N \cdot (2.7m - 1.2m) \cdot \frac{\cos (10°)}{7103N} - 2.7m}{0.456}

0.0079 = \frac{13000 \cdot (2.7 - 1.2) \cdot \frac{\cos (10)}{7103} - 2.7}{0.456}

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Height of C.G. from Road Surface on Front Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{13000N \cdot (2.7m - 1.2m) \cdot \frac{\cos (10°)}{7103N} - 2.7m}{0.456}

Next Step Convert Units

∴

h = \frac{13000N \cdot (2.7m - 1.2m) \cdot \frac{\cos (0.1745rad)}{7103N} - 2.7m}{0.456}

Next Step Prepare to Evaluate

∴

h = \frac{13000 \cdot (2.7 - 1.2) \cdot \frac{\cos (0.1745)}{7103} - 2.7}{0.456}

Next Step Evaluate

∴

h = 0.00791899882351817m

LAST Step Rounding Answer

∴

h = 0.0079m

Height of C.G. from Road Surface on Front Wheel Formula Elements

Variables

Functions

Height of C.G. of Vehicle

Height of C.G. of Vehicle is the vertical distance of the center of gravity from the ground level of a racing car during rear wheel braking.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of C.G. of Vehicle

Vehicle Weight

Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vehicle Weight

Vehicle Wheelbase

Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.

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 from the center of gravity to the rear axle, affecting the racing car's stability during rear wheel braking.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance of C.G. from Rear Axle

Road Inclination Angle

Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Road Inclination Angle

Normal Reaction at Front Wheel

Normal Reaction at Front Wheel is the upward force exerted by the ground on the front wheel of a racing car during rear wheel braking.

Symbol: R_F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at Front Wheel

Friction Coefficient on Front Wheel

Friction Coefficient on Front Wheel is a measure of the frictional force exerted by the front wheel on the road during rear wheel braking in a racing car.

Symbol: μ_FW

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Coefficient on Front Wheel

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 (FW) category

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

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

Go Normal Reaction Force at Front Wheel

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

How to Evaluate Height of C.G. from Road Surface on Front Wheel?

Height of C.G. from Road Surface on Front Wheel evaluator uses Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel to evaluate the Height of C.G. of Vehicle, Height of C.G. from Road Surface on Front Wheel formula is defined as the vertical distance of the center of gravity from the road surface on the front wheel of a vehicle, which is a critical parameter in determining the vehicle's stability and rollover propensity. Height of C.G. of Vehicle is denoted by h symbol.

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

FAQs on Height of C.G. from Road Surface on Front Wheel

What is the formula to find Height of C.G. from Road Surface on Front Wheel?

The formula of Height of C.G. from Road Surface on Front Wheel is expressed as Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel. Here is an example- 0.007524 = (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.456032.

How to calculate Height of C.G. from Road Surface on Front Wheel?

With Vehicle Weight (W), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ), Normal Reaction at Front Wheel (R_F) & Friction Coefficient on Front Wheel (μ_FW) we can find Height of C.G. from Road Surface on Front Wheel using the formula - Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel. This formula also uses Cosine (cos) function(s).

Can the Height of C.G. from Road Surface on Front Wheel be negative?

No, the Height of C.G. from Road Surface on Front Wheel, measured in Length cannot be negative.

Which unit is used to measure Height of C.G. from Road Surface on Front Wheel?

Height of C.G. from Road Surface on 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. from Road Surface on Front Wheel can be measured.

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Height of C.G. from Road Surface on Front Wheel Formula

Height of C.G. from Road Surface on Front Wheel Example

Height of C.G. from Road Surface on Front Wheel Solution

Height of C.G. from Road Surface on Front Wheel Formula Elements

Other formulas in Effects on Front Wheel (FW) category

How to Evaluate Height of C.G. from Road Surface on Front Wheel?

FAQs on Height of C.G. from Road Surface on Front Wheel

Variable Name