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Friction Coefficient between Wheel and Road Surface with Front Wheel Brake Formula

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Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied. Check FAQs

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

μ - Friction Coefficient Between Wheels and Ground?R_F - Normal Reaction at the Front Wheel?b - Vehicle Wheelbase?W - Vehicle Weight?θ - Inclination Angle of Road?x - Horizontal Distance of C.G. from Rear Axle?h - Height of Center of Gravity (C.G.) of Vehicle?

Friction Coefficient between Wheel and Road Surface with Front Wheel Brake Example

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

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

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

0.49 = \frac{\frac{4625.314 \cdot 2.8}{11000 \cdot \cos (5)} - 1.15}{0.065}

0.49 = \frac{\frac{4625.314N \cdot 2.8m}{11000N \cdot \cos (5°)} - 1.15m}{0.065m}

0.49 = \frac{\frac{4625.314 \cdot 2.8}{11000 \cdot \cos (5)} - 1.15}{0.065}

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Friction Coefficient between Wheel and Road Surface with Front Wheel Brake Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{\frac{4625.314N \cdot 2.8m}{11000N \cdot \cos (5°)} - 1.15m}{0.065m}

Next Step Convert Units

∴

μ = \frac{\frac{4625.314N \cdot 2.8m}{11000N \cdot \cos (0.0873rad)} - 1.15m}{0.065m}

Next Step Prepare to Evaluate

∴

μ = \frac{\frac{4625.314 \cdot 2.8}{11000 \cdot \cos (0.0873)} - 1.15}{0.065}

Next Step Evaluate

∴

μ = 0.489999237185312

LAST Step Rounding Answer

∴

μ = 0.49

Friction Coefficient between Wheel and Road Surface with Front Wheel Brake Formula Elements

Variables

Functions

Friction Coefficient Between Wheels and Ground

Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient Between Wheels and Ground

Normal Reaction at the Front Wheel

Normal Reaction at the Front Wheel is the reaction force offered by the ground surface onto the front wheels.

Symbol: R_F

Measurement: ForceUnit: N