Friction Coefficient using Retardation on Rear Wheel Calculator

✖Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle.ⓘ Braking Retardation [a]			+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%
✖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%
✖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 using Retardation on Rear Wheel [μ_RW]

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Friction Coefficient using Retardation on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
μ_RW = ((a/[g]+sin(θ))*b)/((b-x)*cos(θ)-((a/[g]+sin(θ))*h))
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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.
Braking Retardation - (Measured in Meter per Square Second) - Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle.
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.
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.
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

Braking Retardation: 0.86885 Meter per Square Second --> 0.86885 Meter per Square Second No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
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
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 = ((a/[g]+sin(θ))*b)/((b-x)*cos(θ)-((a/[g]+sin(θ))*h)) --> ((0.86885/[g]+sin(0.1745329251994))*2.7)/((2.7-1.2)*cos(0.1745329251994)-((0.86885/[g]+sin(0.1745329251994))*0.007919))

Evaluating ... ...

μ_RW = 0.48000002944215

STEP 3: Convert Result to Output's Unit

0.48000002944215 --> No Conversion Required

FINAL ANSWER

0.48000002944215 ≈ 0.48 <-- Friction Coefficient on Rear Wheel

(Calculation completed in 00.004 seconds)

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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 using Retardation on Rear Wheel Formula

LaTeX Go

Define Breaking on Vehicle?

Braking on a vehicle is the process of slowing down or stopping by applying force to reduce its speed. This is typically achieved by pressing the brake pedal, which engages the braking system, creating friction between the brake pads and the wheels. The friction converts the vehicle's kinetic energy into heat, gradually reducing its motion. Effective braking is essential for controlling the vehicle, ensuring safety, and preventing accidents in various driving conditions.

How to Calculate Friction Coefficient using Retardation on Rear Wheel?

Friction Coefficient using Retardation on Rear Wheel calculator uses 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)) to calculate the Friction Coefficient on Rear Wheel, Friction Coefficient using Retardation on Rear Wheel formula is defined as a measure of the frictional force that opposes motion between the rear wheel of a vehicle and the road surface, taking into account the retardation, angle of inclination, and other parameters that affect the frictional force. Friction Coefficient on Rear Wheel is denoted by μ_RW symbol.

How to calculate Friction Coefficient using Retardation on Rear Wheel using this online calculator? To use this online calculator for Friction Coefficient using Retardation on Rear Wheel, enter Braking Retardation (a), Road Inclination Angle (θ), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x) & Height of C.G. of Vehicle (h) and hit the calculate button. Here is how the Friction Coefficient using Retardation on Rear Wheel calculation can be explained with given input values -> 0.48 = ((0.86885/[g]+sin(0.1745329251994))*2.7)/((2.7-1.2)*cos(0.1745329251994)-((0.86885/[g]+sin(0.1745329251994))*0.007919)).

FAQ

What is Friction Coefficient using Retardation on Rear Wheel?

Friction Coefficient using Retardation on Rear Wheel formula is defined as a measure of the frictional force that opposes motion between the rear wheel of a vehicle and the road surface, taking into account the retardation, angle of inclination, and other parameters that affect the frictional force and is represented as μ_RW = ((a/[g]+sin(θ))*b)/((b-x)*cos(θ)-((a/[g]+sin(θ))*h)) or 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)). Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle, Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability, 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 & 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 using Retardation on Rear Wheel?

Friction Coefficient using Retardation on Rear Wheel formula is defined as a measure of the frictional force that opposes motion between the rear wheel of a vehicle and the road surface, taking into account the retardation, angle of inclination, and other parameters that affect the frictional force is calculated using 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)). To calculate Friction Coefficient using Retardation on Rear Wheel, you need Braking Retardation (a), Road Inclination Angle (θ), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x) & Height of C.G. of Vehicle (h). With our tool, you need to enter the respective value for Braking Retardation, Road Inclination Angle, Vehicle Wheelbase, Horizontal Distance of C.G. from Rear Axle & 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 Braking Retardation, Road Inclination Angle, Vehicle Wheelbase, Horizontal Distance of C.G. from Rear Axle & 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 = (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))

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