Height of C.G. from Road Surface on Front Wheel Calculator

✖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%
✖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%
✖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%
✖Normal Reaction at Front Wheel is the upward force exerted by the ground on the front wheel of a racing car during rear wheel braking.ⓘ Normal Reaction at Front Wheel [R_F]			+10% -10%
✖Friction Coefficient on Front Wheel is a measure of the frictional force exerted by the front wheel on the road during rear wheel braking in a racing car.ⓘ Friction Coefficient on Front Wheel [μ_FW]			+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 Front Wheel [h]

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

STEP 0: Pre-Calculation Summary

Formula Used

Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel
h = (W*(b-x)*cos(θ)/R_F-b)/μ_FW
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.
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.
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.
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.
Normal Reaction at Front Wheel - (Measured in Newton) - Normal Reaction at Front Wheel is the upward force exerted by the ground on the front wheel of a racing car during rear wheel braking.
Friction Coefficient on Front Wheel - Friction Coefficient on Front Wheel is a measure of the frictional force exerted by the front wheel on the road during rear wheel braking in a racing car.

STEP 1: Convert Input(s) to Base Unit

Vehicle Weight: 13000 Newton --> 13000 Newton No Conversion Required
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
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Normal Reaction at Front Wheel: 7103 Newton --> 7103 Newton No Conversion Required
Friction Coefficient on Front Wheel: 0.456032 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (W*(b-x)*cos(θ)/R_F-b)/μ_FW --> (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.456032

Evaluating ... ...

h = 0.00791899882351817

STEP 3: Convert Result to Output's Unit

0.00791899882351817 Meter --> No Conversion Required

FINAL ANSWER

0.00791899882351817 ≈ 0.007919 Meter <-- Height of C.G. of Vehicle

(Calculation completed in 00.020 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 Front Wheel (FW) » Height of C.G. from Road Surface on Front Wheel

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Effects on Front Wheel (FW) Calculators

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

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

Weight of Vehicle on Front Wheel

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

Height of C.G. from Road Surface on Front Wheel

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

Normal Reaction Force at Front Wheel

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

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

LaTeX Go

Define Braking distribution among Front and Rear Brakes?

Braking distribution refers to how the braking force is divided between the front and rear brakes of a vehicle. Typically, more braking force is applied to the front brakes because the weight shifts forward during braking, increasing the front tires' grip. The rear brakes receive less force to prevent them from locking up, which could cause the vehicle to skid. Proper braking distribution ensures stability and control during braking.

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

Height of C.G. from Road Surface on Front Wheel calculator uses Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel to calculate the Height of C.G. of Vehicle, Height of C.G. from Road Surface on Front Wheel formula is defined as the vertical distance of the center of gravity from the road surface on the front wheel of a vehicle, 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 Front Wheel using this online calculator? To use this online calculator for Height of C.G. from Road Surface on Front Wheel, enter Vehicle Weight (W), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ), Normal Reaction at Front Wheel (R_F) & Friction Coefficient on Front Wheel (μ_FW) and hit the calculate button. Here is how the Height of C.G. from Road Surface on Front Wheel calculation can be explained with given input values -> 0.007524 = (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.456032.

FAQ

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

Height of C.G. from Road Surface on Front Wheel formula is defined as the vertical distance of the center of gravity from the road surface on the front wheel of a vehicle, which is a critical parameter in determining the vehicle's stability and rollover propensity and is represented as h = (W*(b-x)*cos(θ)/R_F-b)/μ_FW or Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel. Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance, 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, Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability, Normal Reaction at Front Wheel is the upward force exerted by the ground on the front wheel of a racing car during rear wheel braking & Friction Coefficient on Front Wheel is a measure of the frictional force exerted by the front wheel on the road during rear wheel braking in a racing car.

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

Height of C.G. from Road Surface on Front Wheel formula is defined as the vertical distance of the center of gravity from the road surface on the front wheel of a vehicle, which is a critical parameter in determining the vehicle's stability and rollover propensity is calculated using Height of C.G. of Vehicle = (Vehicle Weight*(Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)/Normal Reaction at Front Wheel-Vehicle Wheelbase)/Friction Coefficient on Front Wheel. To calculate Height of C.G. from Road Surface on Front Wheel, you need Vehicle Weight (W), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ), Normal Reaction at Front Wheel (R_F) & Friction Coefficient on Front Wheel (μ_FW). With our tool, you need to enter the respective value for Vehicle Weight, Vehicle Wheelbase, Horizontal Distance of C.G. from Rear Axle, Road Inclination Angle, Normal Reaction at Front Wheel & Friction Coefficient on Front Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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