Horizontal Distance of C.G. from Rear Axle 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%
✖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%
✖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%
✖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%

✖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 on Rear Wheel [x]

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Formula

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

Formula

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

Example

1.2 m = 5700 N \cdot \frac{2.7 m + 0.48 \cdot 0.007919 m}{13000 N \cdot \cos (10 °)} - 0.48 \cdot 0.007919 m

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

STEP 0: Pre-Calculation Summary

Formula Used

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
x = R_R*(b+μ_RW*h)/(W*cos(θ))-μ_RW*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

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.
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.
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.
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.
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.

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
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
Vehicle Weight: 13000 Newton --> 13000 Newton No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = R_R*(b+μ_RW*h)/(W*cos(θ))-μ_RW*h --> 5700*(2.7+0.48*0.007919)/(13000*cos(0.1745329251994))-0.48*0.007919

Evaluating ... ...

x = 1.20000012460142

STEP 3: Convert Result to Output's Unit

1.20000012460142 Meter --> No Conversion Required

FINAL ANSWER

1.20000012460142 ≈ 1.2 Meter <-- Horizontal Distance of C.G. from Rear Axle

(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) » Horizontal Distance of C.G. from Rear Axle on Rear Wheel

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< Effects on Rear Wheel (RW) Calculators

Friction Coefficient using Retardation on Rear Wheel

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

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

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

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. from Rear Axle on Rear Wheel Formula

Define Rear Axle on Rear Wheel?

The rear axle on a rear-wheel vehicle is the component that connects and supports the rear wheels. It transmits power from the engine, through the differential, to the rear wheels, allowing them to rotate and drive the vehicle. The rear axle also helps maintain wheel alignment and supports a portion of the vehicle's weight. It can be a single, solid axle or consist of separate components depending on the vehicle's design.

How to Calculate Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

Horizontal Distance of C.G. from Rear Axle on Rear Wheel calculator uses 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 to calculate the Horizontal Distance of C.G. from Rear Axle, Horizontal Distance of C.G. from Rear Axle on Rear Wheel formula is defined as the distance from the center of gravity to the rear axle on the rear wheel, which is a critical parameter in vehicle dynamics and stability, influencing the vehicle's behavior and response to various driving conditions. Horizontal Distance of C.G. from Rear Axle is denoted by x symbol.

How to calculate Horizontal Distance of C.G. from Rear Axle on Rear Wheel using this online calculator? To use this online calculator for Horizontal Distance of C.G. from Rear Axle on Rear Wheel, enter Normal Reaction at Rear Wheel (R_R), Vehicle Wheelbase (b), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h), Vehicle Weight (W) & Road Inclination Angle (θ) and hit the calculate button. Here is how the Horizontal Distance of C.G. from Rear Axle on Rear Wheel calculation can be explained with given input values -> 1.2 = 5700*(2.7+0.48*0.007919)/(13000*cos(0.1745329251994))-0.48*0.007919.

FAQ

What is Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

Horizontal Distance of C.G. from Rear Axle on Rear Wheel formula is defined as the distance from the center of gravity to the rear axle on the rear wheel, which is a critical parameter in vehicle dynamics and stability, influencing the vehicle's behavior and response to various driving conditions and is represented as x = R_R*(b+μ_RW*h)/(W*cos(θ))-μ_RW*h or 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. 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, 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, Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance & Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.

How to calculate Horizontal Distance of C.G. from Rear Axle on Rear Wheel?

Horizontal Distance of C.G. from Rear Axle on Rear Wheel formula is defined as the distance from the center of gravity to the rear axle on the rear wheel, which is a critical parameter in vehicle dynamics and stability, influencing the vehicle's behavior and response to various driving conditions is calculated using 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. To calculate Horizontal Distance of C.G. from Rear Axle on Rear Wheel, you need Normal Reaction at Rear Wheel (R_R), Vehicle Wheelbase (b), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h), Vehicle Weight (W) & Road Inclination Angle (θ). With our tool, you need to enter the respective value for Normal Reaction at Rear Wheel, Vehicle Wheelbase, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle, Vehicle Weight & Road Inclination Angle 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 Normal Reaction at Rear Wheel, Vehicle Wheelbase, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle, Vehicle Weight & Road Inclination Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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