Friction Coefficient between Wheel and Road Surface on Front Wheel Calculator

✖Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.ⓘ Vehicle Weight [W]			+10% -10%
✖Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.ⓘ Vehicle Wheelbase [b]			+10% -10%
✖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.ⓘ Horizontal Distance of C.G. from Rear Axle [x]			+10% -10%
✖Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.ⓘ Road Inclination Angle [θ]			+10% -10%
✖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.ⓘ Normal Reaction at Front Wheel [R_F]			+10% -10%
✖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.ⓘ Height of C.G. of Vehicle [h]			+10% -10%

✖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.ⓘ Friction Coefficient between Wheel and Road Surface on Front Wheel [μ_FW]

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Formula

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Friction Coefficient between Wheel and Road Surface on Front Wheel

Formula

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

Example

0.456032 = \frac{13000 N \cdot (2.7 m - 1.2 m) \cdot \frac{\cos (10 °)}{7103 N} - 2.7 m}{0.007919 m}

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Download Rear Wheel Braking for Racing Car Formulas PDF PDF Image

Friction Coefficient between Wheel and Road Surface on Front Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
μ_FW = (W*(b-x)*cos(θ)/R_F-b)/h
This formula uses 1 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

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.
Vehicle Weight - (Measured in Newton) - Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.
Vehicle Wheelbase - (Measured in Meter) - Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.
Horizontal Distance of C.G. from Rear Axle - (Measured in Meter) - 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.
Road Inclination Angle - (Measured in Radian) - Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.
Normal Reaction at Front Wheel - (Measured in Newton) - 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.
Height of C.G. of Vehicle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Vehicle Weight: 13000 Newton --> 13000 Newton No Conversion Required
Vehicle Wheelbase: 2.7 Meter --> 2.7 Meter No Conversion Required
Horizontal Distance of C.G. from Rear Axle: 1.2 Meter --> 1.2 Meter No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Normal Reaction at Front Wheel: 7103 Newton --> 7103 Newton No Conversion Required
Height of C.G. of Vehicle: 0.007919 Meter --> 0.007919 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_FW = (W*(b-x)*cos(θ)/R_F-b)/h --> (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.007919

Evaluating ... ...

μ_FW = 0.456031932249859

STEP 3: Convert Result to Output's Unit

0.456031932249859 --> No Conversion Required

FINAL ANSWER

0.456031932249859 ≈ 0.456032 <-- Friction Coefficient on Front Wheel

(Calculation completed in 00.005 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Weight Transfer during Braking » Rear Wheel Braking for Racing Car » Mechanical » Effects on Front Wheel (FW) » Friction Coefficient between Wheel and Road Surface on Front Wheel

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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< Effects on Front Wheel (FW) Calculators

Horizontal Distance of C.G from Rear Axle on Front Wheel

Go Horizontal Distance of C.G. from Rear Axle = (Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)-Normal Reaction at Front Wheel*(Vehicle Wheelbase-Friction Coefficient on Front Wheel*Height of C.G. of Vehicle)/(Vehicle Weight*cos(Road Inclination Angle))

Weight of Vehicle on Front Wheel

Go Vehicle Weight = Normal Reaction at Front Wheel/((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))

Height of C.G. from Road Surface on Front Wheel

Go Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel

Normal Reaction Force at Front Wheel

Go 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)

Friction Coefficient between Wheel and Road Surface on Front Wheel Formula

How weight transfer occurs during braking?

During braking, weight transfer occurs from the rear to the front of the vehicle. As the brakes are applied, the vehicle's deceleration causes inertia to shift the load forward. This increases the pressure on the front wheels and reduces it on the rear wheels, enhancing the grip of the front tires while reducing the rear tires' grip. The degree of weight transfer depends on the vehicle's speed, braking force, and design.

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

Friction Coefficient between Wheel and Road Surface on Front Wheel calculator 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 calculate 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 calculate Friction Coefficient between Wheel and Road Surface on Front Wheel using this online calculator? To use this online calculator 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. Here is how the Friction Coefficient between Wheel and Road Surface on Front Wheel calculation can be explained with given input values -> 0.456032 = (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.007919.

FAQ

What is Friction Coefficient between Wheel and Road Surface 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 and is represented as μ_FW = (W*(b-x)*cos(θ)/R_F-b)/h or 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. Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance, Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car, 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, Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability, 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 & 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.

How to calculate Friction Coefficient between Wheel and Road Surface 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 is calculated using 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 calculate Friction Coefficient between Wheel and Road Surface on Front Wheel, you need 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). With our tool, you need to enter the respective value for Vehicle Weight, Vehicle Wheelbase, Horizontal Distance of C.G. from Rear Axle, Road Inclination Angle, Normal Reaction at Front Wheel & Height of C.G. of Vehicle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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