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Friction Coefficient between Wheel and Road Surface on Front Wheel Formula

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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. Check FAQs

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

μ_FW - Friction Coefficient on Front Wheel?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?h - Height of C.G. of Vehicle?

Friction Coefficient between Wheel and Road Surface on Front Wheel Example

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Here is how the Friction Coefficient between Wheel and Road Surface on Front Wheel equation looks like with Values.

Here is how the Friction Coefficient between Wheel and Road Surface on Front Wheel equation looks like with Units.

Here is how the Friction Coefficient between Wheel and Road Surface on Front Wheel equation looks like.

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

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

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

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Friction Coefficient between Wheel and Road Surface on Front Wheel Solution

Follow our step by step solution on how to calculate Friction Coefficient between Wheel and Road Surface on Front Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

μ FW = \frac{13000N \cdot (2.7m - 1.2m) \cdot \frac{\cos (0.1745rad)}{7103N} - 2.7m}{0.0079m}

Next Step Prepare to Evaluate

∴

μ FW = \frac{13000 \cdot (2.7 - 1.2) \cdot \frac{\cos (0.1745)}{7103} - 2.7}{0.0079}

Next Step Evaluate

∴

μ FW = 0.456031932249859

LAST Step Rounding Answer

∴

μ FW = 0.456

Friction Coefficient between Wheel and Road Surface on Front Wheel Formula Elements

Variables

Functions

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

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

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 Friction Coefficient between Wheel and Road Surface on Front Wheel?

Friction Coefficient between Wheel and Road Surface on Front Wheel evaluator uses Friction Coefficient on Front Wheel = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Height of C.G. of Vehicle to evaluate the Friction Coefficient on Front Wheel, Friction Coefficient between Wheel and Road Surface on Front Wheel formula is defined as a dimensionless value that quantifies the frictional force between the front wheel of a vehicle and the road surface, influencing the vehicle's traction, braking, and overall stability. Friction Coefficient on Front Wheel is denoted by μ_FW symbol.

How to evaluate Friction Coefficient between Wheel and Road Surface on Front Wheel using this online evaluator? To use this online evaluator for Friction Coefficient between Wheel and 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) & Height of C.G. of Vehicle (h) and hit the calculate button.

FAQs on Friction Coefficient between Wheel and Road Surface on Front Wheel

What is the formula to find Friction Coefficient between Wheel and Road Surface on Front Wheel?

The formula of Friction Coefficient between Wheel and Road Surface on Front Wheel is expressed as Friction Coefficient on Front Wheel = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Height of C.G. of Vehicle. Here is an example- 0.456032 = (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.007919.

How to calculate Friction Coefficient between Wheel and 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) & Height of C.G. of Vehicle (h) we can find Friction Coefficient between Wheel and Road Surface on Front Wheel using the formula - Friction Coefficient on Front Wheel = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Height of C.G. of Vehicle. This formula also uses Cosine (cos) function(s).

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Friction Coefficient between Wheel and Road Surface on Front Wheel Formula

Friction Coefficient between Wheel and Road Surface on Front Wheel Example

Friction Coefficient between Wheel and Road Surface on Front Wheel Solution

Friction Coefficient between Wheel and Road Surface on Front Wheel Formula Elements

Other formulas in Effects on Front Wheel (FW) category

How to Evaluate Friction Coefficient between Wheel and Road Surface on Front Wheel?

FAQs on Friction Coefficient between Wheel and Road Surface on Front Wheel

Variable Name