Height of C.G. from 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%
✖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. from Road Surface on Rear Wheel [h]

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Height of C.G. from Road Surface on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of C.G. of Vehicle = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Friction Coefficient on Rear Wheel*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel))
h = (R_R*b-W*x*cos(θ))/(μ_RW*(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

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.
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.
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.

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)
Friction Coefficient on Rear Wheel: 0.48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (R_R*b-W*x*cos(θ))/(μ_RW*(W*cos(θ)-R_R)) --> (5700*2.7-13000*1.2*cos(0.1745329251994))/(0.48*(13000*cos(0.1745329251994)-5700))

Evaluating ... ...

h = 0.00791946791317697

STEP 3: Convert Result to Output's Unit

0.00791946791317697 Meter --> No Conversion Required

FINAL ANSWER

0.00791946791317697 ≈ 0.007919 Meter <-- Height of C.G. of Vehicle

(Calculation completed in 00.009 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) » Height of C.G. from 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)

Height of C.G. from Road Surface on Rear Wheel Formula

LaTeX Go

Define Front Axle on Vehicle?

The front axle on a vehicle is the component that supports the front wheels and connects them to the vehicle's chassis. It is crucial for steering and weight distribution, as it allows the wheels to pivot and steer the vehicle. The front axle also bears a portion of the vehicle's weight and transmits the forces generated by the suspension system to the wheels. It can be either a single solid axle or a set of independent axles, depending on the vehicle's design.

How to Calculate Height of C.G. from Road Surface on Rear Wheel?

Height of C.G. from Road Surface on Rear Wheel calculator uses Height of C.G. of Vehicle = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Friction Coefficient on Rear Wheel*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel)) to calculate the Height of C.G. of Vehicle, Height of C.G. from Road Surface on Rear Wheel formula is defined as the vertical distance from the road surface to the center of gravity of a vehicle's rear wheel, which is a critical parameter in determining the vehicle's stability and rollover propensity. Height of C.G. of Vehicle is denoted by h symbol.

How to calculate Height of C.G. from Road Surface on Rear Wheel using this online calculator? To use this online calculator for Height of C.G. from 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) & Friction Coefficient on Rear Wheel (μ_RW) and hit the calculate button. Here is how the Height of C.G. from Road Surface on Rear Wheel calculation can be explained with given input values -> 0.007919 = (5700*2.7-13000*1.2*cos(0.1745329251994))/(0.48*(13000*cos(0.1745329251994)-5700)).

FAQ

What is Height of C.G. from Road Surface on Rear Wheel?

Height of C.G. from Road Surface on Rear Wheel formula is defined as the vertical distance from the road surface to the center of gravity of a vehicle's rear wheel, which is a critical parameter in determining the vehicle's stability and rollover propensity and is represented as h = (R_R*b-W*x*cos(θ))/(μ_RW*(W*cos(θ)-R_R)) or Height of C.G. of Vehicle = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Friction Coefficient on Rear Wheel*(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 & 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.

How to calculate Height of C.G. from Road Surface on Rear Wheel?

Height of C.G. from Road Surface on Rear Wheel formula is defined as the vertical distance from the road surface to the center of gravity of a vehicle's rear wheel, which is a critical parameter in determining the vehicle's stability and rollover propensity is calculated using Height of C.G. of Vehicle = (Normal Reaction at Rear Wheel*Vehicle Wheelbase-Vehicle Weight*Horizontal Distance of C.G. from Rear Axle*cos(Road Inclination Angle))/(Friction Coefficient on Rear Wheel*(Vehicle Weight*cos(Road Inclination Angle)-Normal Reaction at Rear Wheel)). To calculate Height of C.G. from 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) & Friction Coefficient on Rear Wheel (μ_RW). 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 & Friction Coefficient on Rear Wheel 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 Height of C.G. of Vehicle?

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

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

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