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Friction Coefficient between Wheels and Road Surface at Front Wheel Formula

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

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

μ - Friction Coefficient Between Wheels And Ground BFW?b - Vehicle Wheelbase BFW?W - Vehicle Weight BFW?x - Horizontal Distance of C.G. From Rear Axle BFW?θ - Road Inclination Angle BFW?R_f - Normal Reaction at The Front Wheel BFW?h - Height of C.G of Vehicle BFW?

Friction Coefficient between Wheels and Road Surface at Front Wheel Example

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

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

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

0.58 = \frac{2.4 - 15000 \cdot 1.3 \cdot \frac{\cos (12)}{7961.88}}{0.0075}

0.58 = \frac{2.4m - 15000N \cdot 1.3m \cdot \frac{\cos (12°)}{7961.88N}}{0.0075m}

0.58 = \frac{2.4 - 15000 \cdot 1.3 \cdot \frac{\cos (12)}{7961.88}}{0.0075}

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Friction Coefficient between Wheels and Road Surface at Front Wheel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{2.4m - 15000N \cdot 1.3m \cdot \frac{\cos (12°)}{7961.88N}}{0.0075m}

Next Step Convert Units

∴

μ = \frac{2.4m - 15000N \cdot 1.3m \cdot \frac{\cos (0.2094rad)}{7961.88N}}{0.0075m}

Next Step Prepare to Evaluate

∴

μ = \frac{2.4 - 15000 \cdot 1.3 \cdot \frac{\cos (0.2094)}{7961.88}}{0.0075}

Next Step Evaluate

∴

μ = 0.579993430205406

LAST Step Rounding Answer

∴

μ = 0.58

Friction Coefficient between Wheels and Road Surface at Front Wheel Formula Elements

Variables

Functions

Friction Coefficient Between Wheels And Ground BFW

Friction Coefficient Between Wheels And Ground BFW 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 BFW

Vehicle Wheelbase BFW

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

Symbol: b

Measurement: LengthUnit: m