Vehicle Wheelbase at Front Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vehicle Wheelbase BFW = Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW+Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW
b = μ*h+W*x*cos(θ)/Rf
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
Vehicle Wheelbase BFW - (Measured in Meter) - Vehicle Wheelbase BFW is the center distance between the front and the rear axle of the vehicle.
Friction Coefficient Between Wheels And Ground BFW - Friction Coefficient Between Wheels And Ground BFW is the friction coefficient which is generated between wheels and ground when the brakes are applied.
Height of C.G of Vehicle BFW - (Measured in Meter) - Height of C.G of Vehicle BFW is the theoretical point where the sum of all of the masses of each of its individual components effectively act.
Vehicle Weight BFW - (Measured in Newton) - Vehicle Weight BFW is the heaviness of the vehicle, generally expressed in Newtons.
Horizontal Distance of C.G. From Rear Axle BFW - (Measured in Meter) - Horizontal Distance of C.G. From Rear Axle BFW is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle.
Road Inclination Angle BFW - (Measured in Radian) - Road Inclination Angle BFW of Road is the angle which the road surface is making with the horizontal.
Normal Reaction at The Front Wheel BFW - (Measured in Newton) - Normal Reaction at The Front Wheel BFW is the reaction force offered by the ground surface onto the front wheels.
STEP 1: Convert Input(s) to Base Unit
Friction Coefficient Between Wheels And Ground BFW: 0.58 --> No Conversion Required
Height of C.G of Vehicle BFW: 0.0075 Meter --> 0.0075 Meter No Conversion Required
Vehicle Weight BFW: 15000 Newton --> 15000 Newton No Conversion Required
Horizontal Distance of C.G. From Rear Axle BFW: 1.3 Meter --> 1.3 Meter No Conversion Required
Road Inclination Angle BFW: 12 Degree --> 0.20943951023928 Radian (Check conversion ​here)
Normal Reaction at The Front Wheel BFW: 7961.88 Newton --> 7961.88 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = μ*h+W*x*cos(θ)/Rf --> 0.58*0.0075+15000*1.3*cos(0.20943951023928)/7961.88
Evaluating ... ...
b = 2.40000004927346
STEP 3: Convert Result to Output's Unit
2.40000004927346 Meter --> No Conversion Required
FINAL ANSWER
2.40000004927346 2.4 Meter <-- Vehicle Wheelbase BFW
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
Peri Krishna Karthik has created this Calculator and 200+ more calculators!
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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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Effects on Front Wheel Calculators

Horizontal Distance of C.G. from Rear Axle at Front Wheel
​ LaTeX ​ Go Horizontal Distance of C.G. From Rear Axle BFW = ((Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW)*Normal Reaction at The Front Wheel BFW)/(Vehicle Weight BFW*cos(Road Inclination Angle BFW))
Normal Reaction Force on Front Wheel
​ LaTeX ​ Go Normal Reaction at The Front Wheel BFW = (Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW))/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW)
Vehicle Weight at Front Wheel
​ LaTeX ​ Go Vehicle Weight BFW = Normal Reaction at The Front Wheel BFW/(Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/(Vehicle Wheelbase BFW-Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW))
Height of C.G. at Front Wheel
​ LaTeX ​ Go Height of C.G of Vehicle BFW = (Vehicle Wheelbase BFW-Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW)/Friction Coefficient Between Wheels And Ground BFW

Vehicle Wheelbase at Front Wheel Formula

​LaTeX ​Go
Vehicle Wheelbase BFW = Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW+Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW
b = μ*h+W*x*cos(θ)/Rf

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 Vehicle Wheelbase at Front Wheel?

Vehicle Wheelbase at Front Wheel calculator uses Vehicle Wheelbase BFW = Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW+Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW to calculate the Vehicle Wheelbase BFW, Vehicle Wheelbase at Front Wheel formula is used to find the center distance between the front and the rear axle of the vehicle. Vehicle Wheelbase BFW is denoted by b symbol.

How to calculate Vehicle Wheelbase at Front Wheel using this online calculator? To use this online calculator for Vehicle Wheelbase at Front Wheel, enter Friction Coefficient Between Wheels And Ground BFW (μ), Height of C.G of Vehicle BFW (h), Vehicle Weight BFW (W), Horizontal Distance of C.G. From Rear Axle BFW (x), Road Inclination Angle BFW (θ) & Normal Reaction at The Front Wheel BFW (Rf) and hit the calculate button. Here is how the Vehicle Wheelbase at Front Wheel calculation can be explained with given input values -> 2.4 = 0.58*0.0075+15000*1.3*cos(0.20943951023928)/7961.88.

FAQ

What is Vehicle Wheelbase at Front Wheel?
Vehicle Wheelbase at Front Wheel formula is used to find the center distance between the front and the rear axle of the vehicle and is represented as b = μ*h+W*x*cos(θ)/Rf or Vehicle Wheelbase BFW = Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW+Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW. Friction Coefficient Between Wheels And Ground BFW is the friction coefficient which is generated between wheels and ground when the brakes are applied, Height of C.G of Vehicle BFW is the theoretical point where the sum of all of the masses of each of its individual components effectively act, Vehicle Weight BFW is the heaviness of the vehicle, generally expressed in Newtons, Horizontal Distance of C.G. From Rear Axle BFW is the distance of vehicle's center of gravity (C.G.) form rear axle measured along wheelbase of vehicle, Road Inclination Angle BFW of Road is the angle which the road surface is making with the horizontal & Normal Reaction at The Front Wheel BFW is the reaction force offered by the ground surface onto the front wheels.
How to calculate Vehicle Wheelbase at Front Wheel?
Vehicle Wheelbase at Front Wheel formula is used to find the center distance between the front and the rear axle of the vehicle is calculated using Vehicle Wheelbase BFW = Friction Coefficient Between Wheels And Ground BFW*Height of C.G of Vehicle BFW+Vehicle Weight BFW*Horizontal Distance of C.G. From Rear Axle BFW*cos(Road Inclination Angle BFW)/Normal Reaction at The Front Wheel BFW. To calculate Vehicle Wheelbase at Front Wheel, you need Friction Coefficient Between Wheels And Ground BFW (μ), Height of C.G of Vehicle BFW (h), Vehicle Weight BFW (W), Horizontal Distance of C.G. From Rear Axle BFW (x), Road Inclination Angle BFW (θ) & Normal Reaction at The Front Wheel BFW (Rf). With our tool, you need to enter the respective value for Friction Coefficient Between Wheels And Ground BFW, Height of C.G of Vehicle BFW, Vehicle Weight BFW, Horizontal Distance of C.G. From Rear Axle BFW, Road Inclination Angle BFW & Normal Reaction at The Front Wheel BFW 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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