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Friction Coefficient between Wheel and Road Surface with Rear 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{b - x - \frac{R R \cdot b}{W \cdot \cos (θ)}}{h}

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

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

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

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

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

0.49 = \frac{2.8 - 1.15 - \frac{6332.83 \cdot 2.8}{11000 \cdot \cos (5)}}{0.065}

0.49 = \frac{2.8m - 1.15m - \frac{6332.83N \cdot 2.8m}{11000N \cdot \cos (5°)}}{0.065m}

0.49 = \frac{2.8 - 1.15 - \frac{6332.83 \cdot 2.8}{11000 \cdot \cos (5)}}{0.065}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{2.8m - 1.15m - \frac{6332.83N \cdot 2.8m}{11000N \cdot \cos (5°)}}{0.065m}

Next Step Convert Units

∴

μ = \frac{2.8m - 1.15m - \frac{6332.83N \cdot 2.8m}{11000N \cdot \cos (0.0873rad)}}{0.065m}

Next Step Prepare to Evaluate

∴

μ = \frac{2.8 - 1.15 - \frac{6332.83 \cdot 2.8}{11000 \cdot \cos (0.0873)}}{0.065}

Next Step Evaluate

∴

μ = 0.489990113271391

LAST Step Rounding Answer

∴

μ = 0.49

Friction Coefficient between Wheel and Road Surface with Rear 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

Vehicle Wheelbase

Vehicle Wheelbase is the center distance between the front and the rear axle of the vehicle.

Symbol: b

Measurement: LengthUnit: m