Normal Reaction Force at Front Wheel Calculator

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

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

⎘ Copy

👎

Formula

✖

Normal Reaction Force at Front Wheel

Formula

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

Example

`"7102.501N"="13000N"*("2.7m"-"1.2m")*cos("10°")/("2.7m"+"0.48"*"0.007919m")`

Calculator

LaTeX

Reset

👍

Download Rear Wheel Braking for Racing Car Formulas PDF

Normal Reaction Force at Front Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Vehicle Weight BRW: 13000 Newton --> 13000 Newton No Conversion Required
Vehicle Wheelbase BRW: 2.7 Meter --> 2.7 Meter No Conversion Required
Horizontal Distance of C.G. from Rear Axle BRW: 1.2 Meter --> 1.2 Meter No Conversion Required
Road Inclination Angle BRW: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Friction Coefficient between Wheels and Ground BRW: 0.48 --> No Conversion Required
Height of C.G. of Vehicle BRW: 0.007919 Meter --> 0.007919 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_F = W*(b-x)*cos(θ)/(b+μ*h) --> 13000*(2.7-1.2)*cos(0.1745329251994)/(2.7+0.48*0.007919)

Evaluating ... ...

R_F = 7102.50137914662

STEP 3: Convert Result to Output's Unit

7102.50137914662 Newton --> No Conversion Required

FINAL ANSWER

7102.50137914662 ≈ 7102.501 Newton <-- Normal Reaction at Front Wheel BRW

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Automobile » Race Car Vehicle Dynamics » Weight Transfer during Braking » Rear Wheel Braking for Racing Car » Effects on Front Wheel (FW) » Normal Reaction Force at Front Wheel

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 (FW) Calculators

Wheel Base on Front Wheel

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

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

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

Slope of Road on Front Wheel

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

Weight of Vehicle on Front Wheel

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

Friction Coefficient between Wheel and Road Surface on Front Wheel

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

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

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

Normal Reaction Force at Front Wheel

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

Normal Reaction Force at Front Wheel Formula

How weight transfer occurs during braking?

The inertial force acts at the center of gravity of the vehicle, while the retarding force due to the application of brakes acts at the road surface. These two form 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.

Braking distribution 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 the front wheels. However, in such a case, trouble would arise while traveling over a wet road. where high braking effect at the front would cause skidding of front wheels, because of a decrease of weight transfer. In practice, about 60% of the braking effort is applied to the front wheels.

How to Calculate Normal Reaction Force at Front Wheel?

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

How to calculate Normal Reaction Force at Front Wheel using this online calculator? To use this online calculator for Normal Reaction Force at Front Wheel, enter Vehicle Weight BRW (W), Vehicle Wheelbase BRW (b), Horizontal Distance of C.G. from Rear Axle BRW (x), Road Inclination Angle BRW (θ), Friction Coefficient between Wheels and Ground BRW (μ) & Height of C.G. of Vehicle BRW (h) and hit the calculate button. Here is how the Normal Reaction Force at Front Wheel calculation can be explained with given input values -> 7102.501 = 13000*(2.7-1.2)*cos(0.1745329251994)/(2.7+0.48*0.007919).

FAQ

What is Normal Reaction Force at Front Wheel?

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

How to calculate Normal Reaction Force at Front Wheel?

Normal Reaction Force at Front Wheel formula is used to find the reaction force offered by the road surface onto the front wheel is calculated using Normal Reaction at Front Wheel BRW = Vehicle Weight BRW*(Vehicle Wheelbase BRW-Horizontal Distance of C.G. from Rear Axle BRW)*cos(Road Inclination Angle BRW)/(Vehicle Wheelbase BRW+Friction Coefficient between Wheels and Ground BRW*Height of C.G. of Vehicle BRW). To calculate Normal Reaction Force at Front Wheel, you need Vehicle Weight BRW (W), Vehicle Wheelbase BRW (b), Horizontal Distance of C.G. from Rear Axle BRW (x), Road Inclination Angle BRW (θ), Friction Coefficient between Wheels and Ground BRW (μ) & Height of C.G. of Vehicle BRW (h). With our tool, you need to enter the respective value for Vehicle Weight BRW, Vehicle Wheelbase BRW, Horizontal Distance of C.G. from Rear Axle BRW, Road Inclination Angle BRW, Friction Coefficient between Wheels and Ground BRW & Height of C.G. of Vehicle BRW and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search