Front Wheel Reaction with All Wheel Braking Calculator

✖Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons.ⓘ Vehicle Weight [W]			+10% -10%
✖Horizontal Distance of C.G. from rear Axle is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle.ⓘ Horizontal Distance of C.G. from Rear Axle [x]			+10% -10%
✖Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied.ⓘ Friction Coefficient between Wheels and Ground [μ]			+10% -10%
✖Height of Center of Gravity (C.G.) of Vehicle is the theoretical point where the sum of all of the masses of each of its individual components effectively act.ⓘ Height of Center of Gravity (C.G.) of Vehicle [h]			+10% -10%
✖Inclination Angle of Road is the angle which the road surface is making with the horizontal.ⓘ Inclination Angle of Road [θ]			+10% -10%
✖Vehicle Wheelbase is the center distance between the front and the rear axle of the vehicle.ⓘ Vehicle Wheelbase [b]			+10% -10%

✖Normal Reaction at the Front Wheel is the reaction force offered by the ground surface onto the front wheels.ⓘ Front Wheel Reaction with All Wheel Braking [R_F]

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Formula

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Front Wheel Reaction with All Wheel Braking

Formula

`"R"_{"F"} = "W"*("x"+"μ"*"h")*cos("θ")/("b")`

Example

`"4625.314N"="11000N"*("1.15m"+"0.49"*"0.065m")*cos("5°")/("2.8m")`

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Download Weight Transfer during Braking Formula PDF

Front Wheel Reaction with All Wheel Braking Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase)
R_F = W*(x+μ*h)*cos(θ)/(b)
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

Normal Reaction at the Front Wheel - (Measured in Newton) - Normal Reaction at the Front Wheel is the reaction force offered by the ground surface onto the front wheels.
Vehicle Weight - (Measured in Newton) - Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons.
Horizontal Distance of C.G. from Rear Axle - (Measured in Meter) - Horizontal Distance of C.G. from rear Axle is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle.
Friction Coefficient between Wheels and Ground - Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied.
Height of Center of Gravity (C.G.) of Vehicle - (Measured in Meter) - Height of Center of Gravity (C.G.) of Vehicle is the theoretical point where the sum of all of the masses of each of its individual components effectively act.
Inclination Angle of Road - (Measured in Radian) - Inclination Angle of Road is the angle which the road surface is making with the horizontal.
Vehicle Wheelbase - (Measured in Meter) - Vehicle Wheelbase is the center distance between the front and the rear axle of the vehicle.

STEP 1: Convert Input(s) to Base Unit

Vehicle Weight: 11000 Newton --> 11000 Newton No Conversion Required
Horizontal Distance of C.G. from Rear Axle: 1.15 Meter --> 1.15 Meter No Conversion Required
Friction Coefficient between Wheels and Ground: 0.49 --> No Conversion Required
Height of Center of Gravity (C.G.) of Vehicle: 0.065 Meter --> 0.065 Meter No Conversion Required
Inclination Angle of Road: 5 Degree --> 0.0872664625997001 Radian (Check conversion here)
Vehicle Wheelbase: 2.8 Meter --> 2.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_F = W*(x+μ*h)*cos(θ)/(b) --> 11000*(1.15+0.49*0.065)*cos(0.0872664625997001)/(2.8)

Evaluating ... ...

R_F = 4625.31419404894

STEP 3: Convert Result to Output's Unit

4625.31419404894 Newton --> No Conversion Required

FINAL ANSWER

4625.31419404894 ≈ 4625.314 Newton <-- Normal Reaction at the Front Wheel

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Weight Transfer during Braking » All Wheel Braking for Racing Car » Effects on Front Wheel » Front Wheel Reaction with All Wheel Braking

Credits

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

sanjay shiva has verified this Calculator and 100+ more calculators!

< 7 Effects on Front Wheel Calculators

Slope of Road from Braking with Front Wheel Reaction

Go Inclination Angle of Road = acos(Normal Reaction at the Front Wheel/(Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)/(Vehicle Wheelbase)))

Friction Coefficient between Wheel and Road Surface with Front Wheel Brake

Go Friction Coefficient between Wheels and Ground = ((Normal Reaction at the Front Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road))-Horizontal Distance of C.G. from Rear Axle)/Height of Center of Gravity (C.G.) of Vehicle

Height of C.G. from Road Surface with Front Wheel Brake

Go Height of Center of Gravity (C.G.) of Vehicle = ((Normal Reaction at the Front Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road))-Horizontal Distance of C.G. from Rear Axle)/Friction Coefficient between Wheels and Ground

Vehicle Weight with All Wheel Brake on Front Wheel

Go Vehicle Weight = Normal Reaction at the Front Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase))

Horizontal Distance of C.G from Rear Axle with Front Wheel Brake

Go Horizontal Distance of C.G. from Rear Axle = (Normal Reaction at the Front Wheel*Vehicle Wheelbase)/(Vehicle Weight*cos(Inclination Angle of Road))-Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle

Wheel Base with All Wheel Braking on Front Wheel

Go Vehicle Wheelbase = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Normal Reaction at the Front Wheel)

Front Wheel Reaction with All Wheel Braking

Go Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase)

Front Wheel Reaction with All Wheel Braking Formula

How weight transfer occurs during braking?

The inertial force acts at the centre of gravity of the vehicle, while the retarding force due to the application of brakes acts at the road surface. These two forms an overturning couple. This overturning couple increases the perpendicular force between the front wheels and ground by an amount, while the perpendicular force between rear wheels and ground is decreased by an equal amount. Some of the vehicle weight is thus transferred from the rear to the front axle.

How the braking distribution occurs among front and rear brakes?

It is observed that in vehicles either the distribution of weight over the two axles is equal, or the front axle carries more weight, the braking effect has to be more at the front wheels for efficient braking. It is seen that in general for achieving maximum efficiency, about 75% of the total braking effect should be on front wheels. However, in such case the trouble would arise while travelling over wet road where hight braking effect at the front would cause skidding of front wheels, because of decrease of weight transfer. In practice, about 60% of the braking effort is applied on the front wheels.

How to Calculate Front Wheel Reaction with All Wheel Braking?

Front Wheel Reaction with All Wheel Braking calculator uses Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase) to calculate the Normal Reaction at the Front Wheel, Front Wheel Reaction with All Wheel Braking formula is used to find the reaction force offered by the road surface onto the front wheel. Normal Reaction at the Front Wheel is denoted by R_F symbol.

How to calculate Front Wheel Reaction with All Wheel Braking using this online calculator? To use this online calculator for Front Wheel Reaction with All Wheel Braking, enter Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient between Wheels and Ground (μ), Height of Center of Gravity (C.G.) of Vehicle (h), Inclination Angle of Road (θ) & Vehicle Wheelbase (b) and hit the calculate button. Here is how the Front Wheel Reaction with All Wheel Braking calculation can be explained with given input values -> 5466.28 = 11000*(1.15+0.49*0.065)*cos(0.0872664625997001)/(2.8).

FAQ

What is Front Wheel Reaction with All Wheel Braking?

Front Wheel Reaction with All Wheel Braking formula is used to find the reaction force offered by the road surface onto the front wheel and is represented as R_F = W*(x+μ*h)*cos(θ)/(b) or Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase). Vehicle Weight is the heaviness of the vehicle, generally expressed in Newtons, Horizontal Distance of C.G. from rear Axle is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle, Friction Coefficient between Wheels and Ground is the friction coefficient which is generated between wheels and ground when the brakes are applied, Height of Center of Gravity (C.G.) of Vehicle is the theoretical point where the sum of all of the masses of each of its individual components effectively act, Inclination Angle of Road is the angle which the road surface is making with the horizontal & Vehicle Wheelbase is the center distance between the front and the rear axle of the vehicle.

How to calculate Front Wheel Reaction with All Wheel Braking?

Front Wheel Reaction with All Wheel Braking formula is used to find the reaction force offered by the road surface onto the front wheel is calculated using Normal Reaction at the Front Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient between Wheels and Ground*Height of Center of Gravity (C.G.) of Vehicle)*cos(Inclination Angle of Road)/(Vehicle Wheelbase). To calculate Front Wheel Reaction with All Wheel Braking, you need Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient between Wheels and Ground (μ), Height of Center of Gravity (C.G.) of Vehicle (h), Inclination Angle of Road (θ) & Vehicle Wheelbase (b). With our tool, you need to enter the respective value for Vehicle Weight, Horizontal Distance of C.G. from Rear Axle, Friction Coefficient between Wheels and Ground, Height of Center of Gravity (C.G.) of Vehicle, Inclination Angle of Road & Vehicle Wheelbase 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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