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Normal Reaction Force at Front Wheel Formula

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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. Check FAQs

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

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

Normal Reaction Force at Front Wheel Example

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Here is how the Normal Reaction Force at Front Wheel equation looks like with Values.

Here is how the Normal Reaction Force at Front Wheel equation looks like with Units.

Here is how the Normal Reaction Force at Front Wheel equation looks like.

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

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

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

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Normal Reaction Force at Front Wheel Solution

Follow our step by step solution on how to calculate Normal Reaction Force at Front Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

R F = 13000N \cdot (2.7m - 1.2m) \cdot \frac{\cos (0.1745rad)}{2.7m + 0.456 \cdot 0.0079m}

Next Step Prepare to Evaluate

∴

R F = 13000 \cdot (2.7 - 1.2) \cdot \frac{\cos (0.1745)}{2.7 + 0.456 \cdot 0.0079}

Next Step Evaluate

∴

R F = 7102.99999859046N

LAST Step Rounding Answer

∴

R F = 7103N

Normal Reaction Force at Front Wheel Formula Elements

Variables

Functions

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

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

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

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 Normal Reaction Force at Front Wheel?

Normal Reaction Force at Front Wheel evaluator uses Normal Reaction at Front Wheel = Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Front Wheel*Height of C.G. of Vehicle) to evaluate the Normal Reaction at Front Wheel, Normal Reaction Force at Front Wheel formula is defined as the vertical force exerted by the ground on the front wheel of a vehicle, which is influenced by the weight of the vehicle, the distance from the center of gravity to the front axle, and the angle of inclination, providing a critical parameter for vehicle stability and safety analysis. Normal Reaction at Front Wheel is denoted by R_F symbol.

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

FAQs on Normal Reaction Force at Front Wheel

What is the formula to find Normal Reaction Force at Front Wheel?

The formula of Normal Reaction Force at Front Wheel is expressed as Normal Reaction at Front Wheel = Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Front Wheel*Height of C.G. of Vehicle). Here is an example- 7102.501 = 13000*(2.7-1.2)*cos(0.1745329251994)/(2.7+0.456032*0.007919).

How to calculate Normal Reaction Force at Front Wheel?

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

Can the Normal Reaction Force at Front Wheel be negative?

No, the Normal Reaction Force at Front Wheel, measured in Force cannot be negative.

Which unit is used to measure Normal Reaction Force at Front Wheel?

Normal Reaction Force at Front Wheel is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Reaction Force at Front Wheel can be measured.

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Normal Reaction Force at Front Wheel Formula

Normal Reaction Force at Front Wheel Example

Normal Reaction Force at Front Wheel Solution

Normal Reaction Force at Front Wheel Formula Elements

Other formulas in Effects on Front Wheel (FW) category

How to Evaluate Normal Reaction Force at Front Wheel?

FAQs on Normal Reaction Force at Front Wheel

Variable Name