Friction Coefficient between Wheel and Road Surface on Rear Wheel Calculator

✖Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control.ⓘ Normal Reaction at Rear Wheel [R_R]			+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%
✖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%
✖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%
✖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 Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.ⓘ Friction Coefficient between Wheel and Road Surface on Rear Wheel [μ_RW]

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Friction Coefficient between Wheel and Road Surface on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Coefficient on Rear Wheel = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Height of C.G. of Vehicle*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel))
μ_RW = (R_R*b-W*x*cos(θ))/(h*(W*cos(θ)-R_R))
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 Rear Wheel - Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.
Normal Reaction at Rear Wheel - (Measured in Newton) - Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control.
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.
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.
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.
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

Normal Reaction at Rear Wheel: 5700 Newton --> 5700 Newton No Conversion Required
Vehicle Wheelbase: 2.7 Meter --> 2.7 Meter No Conversion Required
Vehicle Weight: 13000 Newton --> 13000 Newton 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)
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_RW = (R_R*b-W*x*cos(θ))/(h*(W*cos(θ)-R_R)) --> (5700*2.7-13000*1.2*cos(0.1745329251994))/(0.007919*(13000*cos(0.1745329251994)-5700))

Evaluating ... ...

μ_RW = 0.480028361955417

STEP 3: Convert Result to Output's Unit

0.480028361955417 --> No Conversion Required

FINAL ANSWER

0.480028361955417 ≈ 0.480028 <-- Friction Coefficient on Rear Wheel

(Calculation completed in 00.004 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 Rear Wheel (RW) » Friction Coefficient between Wheel and Road Surface on Rear 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 Rear Wheel (RW) Calculators

Friction Coefficient using Retardation on Rear Wheel

LaTeX Go Friction Coefficient on Rear Wheel = ((Braking Retardation/[g]+sin(Road Inclination Angle))*Vehicle Wheelbase)/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)-((Braking Retardation/[g]+sin(Road Inclination Angle))*Height of C.G. of Vehicle))

Friction Coefficient between Wheel and Road Surface on Rear Wheel

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

Weight of Vehicle on Rear Wheel

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

Normal Reaction Force at Rear Wheel

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

Friction Coefficient between Wheel and Road Surface on Rear Wheel Formula

LaTeX Go

What is Friction Coefficient between Wheel and Road Surface?

The friction coefficient between a wheel and the road surface is a measure of the grip or traction available between the two surfaces. It determines how effectively a vehicle can accelerate, brake, and maintain control. A higher friction coefficient indicates better grip, allowing for more effective braking and cornering. This coefficient varies depending on factors such as the type of tire, road conditions (dry, wet, icy), and surface material. It's a critical factor in ensuring vehicle safety and performance.

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

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

How to calculate Friction Coefficient between Wheel and Road Surface on Rear Wheel using this online calculator? To use this online calculator for Friction Coefficient between Wheel and Road Surface on Rear Wheel, enter Normal Reaction at Rear Wheel (R_R), Vehicle Wheelbase (b), Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ) & Height of C.G. of Vehicle (h) and hit the calculate button. Here is how the Friction Coefficient between Wheel and Road Surface on Rear Wheel calculation can be explained with given input values -> 0.480028 = (5700*2.7-13000*1.2*cos(0.1745329251994))/(0.007919*(13000*cos(0.1745329251994)-5700)).

FAQ

What is Friction Coefficient between Wheel and Road Surface on Rear Wheel?

Friction Coefficient between Wheel and Road Surface on Rear Wheel formula is defined as a dimensionless value that quantifies the frictional force between the rear wheel of a vehicle and the road surface, influencing the vehicle's stability, acceleration, and braking performance and is represented as μ_RW = (R_R*b-W*x*cos(θ))/(h*(W*cos(θ)-R_R)) or Friction Coefficient on Rear Wheel = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Height of C.G. of Vehicle*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel)). Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control, 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 Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance, 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 & 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 Rear Wheel?

Friction Coefficient between Wheel and Road Surface on Rear Wheel formula is defined as a dimensionless value that quantifies the frictional force between the rear wheel of a vehicle and the road surface, influencing the vehicle's stability, acceleration, and braking performance is calculated using Friction Coefficient on Rear Wheel = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Height of C.G. of Vehicle*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel)). To calculate Friction Coefficient between Wheel and Road Surface on Rear Wheel, you need Normal Reaction at Rear Wheel (R_R), Vehicle Wheelbase (b), Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ) & Height of C.G. of Vehicle (h). With our tool, you need to enter the respective value for Normal Reaction at Rear Wheel, Vehicle Wheelbase, Vehicle Weight, Horizontal Distance of C.G. from Rear Axle, Road Inclination Angle & 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.

How many ways are there to calculate Friction Coefficient on Rear Wheel?

In this formula, Friction Coefficient on Rear Wheel uses Normal Reaction at Rear Wheel, Vehicle Wheelbase, Vehicle Weight, Horizontal Distance of C.G. from Rear Axle, Road Inclination Angle & Height of C.G. of Vehicle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Friction Coefficient on Rear Wheel = ((Braking Retardation/[g]+sin(Road Inclination Angle))*Vehicle Wheelbase)/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)-((Braking Retardation/[g]+sin(Road Inclination Angle))*Height of C.G. of Vehicle))

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