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

STEP 0: Pre-Calculation Summary
Formula Used
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
h = (W*(b-x)*cos(θ)/RF-b)/μ
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 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.
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.
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.
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.
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)
Normal Reaction at Front Wheel BRW: 7103 Newton --> 7103 Newton No Conversion Required
Friction Coefficient between Wheels and Ground BRW: 0.48 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (W*(b-x)*cos(θ)/RF-b)/μ --> (13000*(2.7-1.2)*cos(0.1745329251994)/7103-2.7)/0.48
Evaluating ... ...
h = 0.00752357681559716
STEP 3: Convert Result to Output's Unit
0.00752357681559716 Meter --> No Conversion Required
FINAL ANSWER
0.00752357681559716 0.007524 Meter <-- Height of C.G. of Vehicle BRW
(Calculation completed in 00.004 seconds)

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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)

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

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
h = (W*(b-x)*cos(θ)/RF-b)/μ

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.

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 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 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 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 to calculate the Height of C.G. of Vehicle BRW, Height of C.G. from Road Surface on Front Wheel formula is used to find the height of the theoretical point where the sum of all of the masses of each of its individual components effectively acts. Height of C.G. of Vehicle BRW 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 BRW (W), Vehicle Wheelbase BRW (b), Horizontal Distance of C.G. from Rear Axle BRW (x), Road Inclination Angle BRW (θ), Normal Reaction at Front Wheel BRW (RF) & Friction Coefficient between Wheels and Ground BRW (μ) 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)/0.48.

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 used to find the height of the theoretical point where the sum of all of the masses of each of its individual components effectively acts and is represented as h = (W*(b-x)*cos(θ)/RF-b)/μ or 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. 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, Normal Reaction at Front Wheel BRW is the reaction force offered by the ground surface onto the front wheels & Friction Coefficient between Wheels and Ground BRW is friction coefficient that is generated between wheels and ground when rear brakes are applied.
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 used to find the height of the theoretical point where the sum of all of the masses of each of its individual components effectively acts is calculated using 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. To calculate Height of C.G. from Road Surface on 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), Normal Reaction at Front Wheel BRW (RF) & Friction Coefficient between Wheels and Ground BRW (μ). 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, Normal Reaction at Front Wheel BRW & Friction Coefficient between Wheels and Ground BRW 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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