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

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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. Check FAQs

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

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

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

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

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

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

1.2004 = (2.7 - 0.456 \cdot 0.0079) - 7103 \cdot \frac{2.7 - 0.456 \cdot 0.0079}{13000 \cdot \cos (10)}

1.2004m = (2.7m - 0.456 \cdot 0.0079m) - 7103N \cdot \frac{2.7m - 0.456 \cdot 0.0079m}{13000N \cdot \cos (10°)}

1.2004 = (2.7 - 0.456 \cdot 0.0079) - 7103 \cdot \frac{2.7 - 0.456 \cdot 0.0079}{13000 \cdot \cos (10)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

x = (2.7m - 0.456 \cdot 0.0079m) - 7103N \cdot \frac{2.7m - 0.456 \cdot 0.0079m}{13000N \cdot \cos (0.1745rad)}

Next Step Prepare to Evaluate

∴

x = (2.7 - 0.456 \cdot 0.0079) - 7103 \cdot \frac{2.7 - 0.456 \cdot 0.0079}{13000 \cdot \cos (0.1745)}

Next Step Evaluate

∴

x = 1.2003958974426m

LAST Step Rounding Answer

∴

x = 1.2004m

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

Variables

Functions

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

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

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

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

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

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

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

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

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

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

Horizontal Distance of C.G from Rear Axle on Front Wheel evaluator uses Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle)) to evaluate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G from Rear Axle on Front Wheel formula is defined as the distance from the center of gravity to the rear axle on the front wheel, which is a critical parameter in vehicle design and dynamics, influencing the stability and maneuverability of a vehicle. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

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

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

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

The formula of Horizontal Distance of C.G from Rear Axle on Front Wheel is expressed as Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle)). Here is an example- 1.200311 = (2.7-0.456032*0.007919)-7103*(2.7-0.456032*0.007919)/(13000*cos(0.1745329251994)).

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

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

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

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

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

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

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

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

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

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

Other formulas in Effects on Front Wheel (FW) category

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

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

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