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Wheel Base on Front Wheel Formula

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

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

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

Wheel Base on Front Wheel Example

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Here is how the Wheel Base on Front Wheel equation looks like with Values.

Here is how the Wheel Base on Front Wheel equation looks like with Units.

Here is how the Wheel Base on Front Wheel equation looks like.

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

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

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

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Wheel Base on Front Wheel Solution

Follow our step by step solution on how to calculate Wheel Base on Front Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

b = \frac{7103N \cdot 0.456 \cdot 0.0079m + 13000N \cdot 1.2m \cdot \cos (0.1745rad)}{13000N \cdot \cos (0.1745rad) - 7103N}

Next Step Prepare to Evaluate

∴

b = \frac{7103 \cdot 0.456 \cdot 0.0079 + 13000 \cdot 1.2 \cdot \cos (0.1745)}{13000 \cdot \cos (0.1745) - 7103}

Next Step Evaluate

∴

b = 2.70000000066863m

LAST Step Rounding Answer

∴

b = 2.7m

Wheel Base on Front Wheel Formula Elements

Variables

Functions

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

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

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

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

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 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}

How to Evaluate Wheel Base on Front Wheel?

Wheel Base on Front Wheel evaluator uses Vehicle Wheelbase = (Normal Reaction at Front Wheel*Friction Coefficient on Front Wheel*Height of C.G. of Vehicle+Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Front Wheel) to evaluate the Vehicle Wheelbase, Wheel Base on Front Wheel formula is defined as a measure of the distance from the center of the front wheel to the point where the line intersecting the ground and the vertical plane passing through the axis of the front wheel. It is a critical parameter in vehicle design, affecting stability, handling, and overall performance. Vehicle Wheelbase is denoted by b symbol.

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

FAQs on Wheel Base on Front Wheel

What is the formula to find Wheel Base on Front Wheel?

The formula of Wheel Base on Front Wheel is expressed as Vehicle Wheelbase = (Normal Reaction at Front Wheel*Friction Coefficient on Front Wheel*Height of C.G. of Vehicle+Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Front Wheel). Here is an example- 2.700237 = (7103*0.456032*0.007919+13000*1.2*cos(0.1745329251994))/(13000*cos(0.1745329251994)-7103).

How to calculate Wheel Base on Front Wheel?

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

Can the Wheel Base on Front Wheel be negative?

No, the Wheel Base on Front Wheel, measured in Length cannot be negative.

Which unit is used to measure Wheel Base on Front Wheel?

Wheel Base 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 Wheel Base on Front Wheel can be measured.

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Wheel Base on Front Wheel Formula

Wheel Base on Front Wheel Example

Wheel Base on Front Wheel Solution

Wheel Base on Front Wheel Formula Elements

Other formulas in Effects on Front Wheel (FW) category

How to Evaluate Wheel Base on Front Wheel?

FAQs on Wheel Base on Front Wheel

Variable Name