Horizontal Distance of C.G. using Retardation on Rear Wheel Calculator

✖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%
✖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%
✖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 on Rear Wheel [μ_RW]			+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%

✖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. using Retardation on Rear Wheel [x]

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Horizontal Distance of C.G. using Retardation on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.
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 Wheelbase: 2.7 Meter --> 2.7 Meter No Conversion Required
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)
Friction Coefficient on Rear Wheel: 0.48 --> 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

x = b-((a/[g]+sin(θ))*(b+μ_RW*h)/(μ_RW*cos(θ))) --> 2.7-((0.86885/[g]+sin(0.1745329251994))*(2.7+0.48*0.007919)/(0.48*cos(0.1745329251994)))

Evaluating ... ...

x = 1.19999990812263

STEP 3: Convert Result to Output's Unit

1.19999990812263 Meter --> No Conversion Required

FINAL ANSWER

1.19999990812263 ≈ 1.2 Meter <-- Horizontal Distance of C.G. from Rear Axle

(Calculation completed in 00.020 seconds)

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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)

Horizontal Distance of C.G. using Retardation on Rear Wheel Formula

LaTeX Go

What is Chassis in Vehicle?

The chassis of a vehicle is the framework that supports and integrates all of its key components, including the engine, transmission, suspension, and wheels. It provides the structural foundation for the vehicle and is essential for maintaining its shape, stability, and durability. The chassis also absorbs and distributes stresses and forces experienced during driving, contributing to the vehicle's overall handling and safety.

How to Calculate Horizontal Distance of C.G. using Retardation on Rear Wheel?

Horizontal Distance of C.G. using Retardation on Rear Wheel calculator uses Horizontal Distance of C.G. from Rear Axle = Vehicle Wheelbase-((Braking Retardation/[g]+sin(Road Inclination Angle))*(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Friction Coefficient on Rear Wheel*cos(Road Inclination Angle))) to calculate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G. using Retardation on Rear Wheel formula is defined as the distance from the center of gravity to the point where the rear wheel is braked, taking into account the retardation, angle of inclination, and other factors that affect the vehicle's motion. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

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

FAQ

What is Horizontal Distance of C.G. using Retardation on Rear Wheel?

Horizontal Distance of C.G. using Retardation on Rear Wheel formula is defined as the distance from the center of gravity to the point where the rear wheel is braked, taking into account the retardation, angle of inclination, and other factors that affect the vehicle's motion and is represented as x = b-((a/[g]+sin(θ))*(b+μ_RW*h)/(μ_RW*cos(θ))) or Horizontal Distance of C.G. from Rear Axle = Vehicle Wheelbase-((Braking Retardation/[g]+sin(Road Inclination Angle))*(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Friction Coefficient on Rear Wheel*cos(Road Inclination Angle))). Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car, 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, 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 & 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 Horizontal Distance of C.G. using Retardation on Rear Wheel?

Horizontal Distance of C.G. using Retardation on Rear Wheel formula is defined as the distance from the center of gravity to the point where the rear wheel is braked, taking into account the retardation, angle of inclination, and other factors that affect the vehicle's motion is calculated using Horizontal Distance of C.G. from Rear Axle = Vehicle Wheelbase-((Braking Retardation/[g]+sin(Road Inclination Angle))*(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Friction Coefficient on Rear Wheel*cos(Road Inclination Angle))). To calculate Horizontal Distance of C.G. using Retardation on Rear Wheel, you need Vehicle Wheelbase (b), Braking Retardation (a), Road Inclination Angle (θ), Friction Coefficient on Rear Wheel (μ_RW) & Height of C.G. of Vehicle (h). With our tool, you need to enter the respective value for Vehicle Wheelbase, Braking Retardation, Road Inclination Angle, Friction Coefficient on Rear 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.

How many ways are there to calculate Horizontal Distance of C.G. from Rear Axle?

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

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

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