Normal Reaction Force at 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%
✖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. of Vehicle [h]			+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 Force at Front Wheel [R_F]

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Formula

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Normal Reaction Force at Front Wheel

Formula

R F = W \cdot (b - x) \cdot \frac{\cos (θ)}{b + μ FW \cdot h}

Example

7103 N = 13000 N \cdot (2.7 m - 1.2 m) \cdot \frac{\cos (10 °)}{2.7 m + 0.456032 \cdot 0.007919 m}

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Download Rear Wheel Braking for Racing Car Formulas PDF PDF Image

Normal Reaction Force at Front Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_F = W*(b-x)*cos(θ)/(b+μ_FW*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 - (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.
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.
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.
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.

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)
Friction Coefficient on Front Wheel: 0.456032 --> No Conversion Required
Height of C.G. of Vehicle: 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_FW*h) --> 13000*(2.7-1.2)*cos(0.1745329251994)/(2.7+0.456032*0.007919)

Evaluating ... ...

R_F = 7102.99999859046

STEP 3: Convert Result to Output's Unit

7102.99999859046 Newton --> No Conversion Required

FINAL ANSWER

7102.99999859046 ≈ 7103 Newton <-- Normal Reaction at Front Wheel

(Calculation completed in 00.004 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) » Normal Reaction Force at 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

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

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

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

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)

Normal Reaction Force at Front Wheel Formula

Define Normal Reaction Force?

The normal reaction force is the force exerted by a surface perpendicular to an object resting on it. It opposes the object's weight, preventing it from passing through the surface. This force is equal in magnitude but opposite in direction to the component of the object's weight perpendicular to the surface. The normal reaction force plays a crucial role in maintaining balance and stability in various situations, such as when an object is stationary or moving along a flat or inclined surface.

How to Calculate Normal Reaction Force at Front Wheel?

Normal Reaction Force at Front Wheel calculator uses 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) to calculate the Normal Reaction at Front Wheel, Normal Reaction Force at Front Wheel formula is defined as the vertical force exerted by the ground on the front wheel of a vehicle, which is influenced by the weight of the vehicle, the distance from the center of gravity to the front axle, and the angle of inclination, providing a critical parameter for vehicle stability and safety analysis. Normal Reaction at Front Wheel 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 (W), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ), Friction Coefficient on Front Wheel (μ_FW) & Height of C.G. of Vehicle (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+0.456032*0.007919).

FAQ

What is Normal Reaction Force at Front Wheel?

Normal Reaction Force at Front Wheel formula is defined as the vertical force exerted by the ground on the front wheel of a vehicle, which is influenced by the weight of the vehicle, the distance from the center of gravity to the front axle, and the angle of inclination, providing a critical parameter for vehicle stability and safety analysis and is represented as R_F = W*(b-x)*cos(θ)/(b+μ_FW*h) or 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). 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, 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 & 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.

How to calculate Normal Reaction Force at Front Wheel?

Normal Reaction Force at Front Wheel formula is defined as the vertical force exerted by the ground on the front wheel of a vehicle, which is influenced by the weight of the vehicle, the distance from the center of gravity to the front axle, and the angle of inclination, providing a critical parameter for vehicle stability and safety analysis is calculated using 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). To calculate Normal Reaction Force at Front Wheel, you need Vehicle Weight (W), Vehicle Wheelbase (b), Horizontal Distance of C.G. from Rear Axle (x), Road Inclination Angle (θ), Friction Coefficient on Front Wheel (μ_FW) & Height of C.G. of Vehicle (h). 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, Friction Coefficient on Front Wheel & Height of C.G. of Vehicle 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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