Weight of Vehicle on Rear Wheel Calculator

✖Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control.ⓘ Normal Reaction at Rear Wheel [R_R]			+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%
✖Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.ⓘ Friction Coefficient on Rear Wheel [μ_RW]			+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%
✖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%
✖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%

✖Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.ⓘ Weight of Vehicle on Rear Wheel [W]

⎘ Copy

👎

Formula

✖

Weight of Vehicle on Rear Wheel

Formula

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

Example

13000 N = \frac{5700 N}{(1.2 m + 0.48 \cdot 0.007919 m) \cdot \frac{\cos (10 °)}{2.7 m + 0.48 \cdot 0.007919 m}}

Calculator

LaTeX

Reset

👍

Download Rear Wheel Braking for Racing Car Formulas PDF PDF Image

Weight of Vehicle on Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vehicle Weight = Normal Reaction at Rear Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle))
W = R_R/((x+μ_RW*h)*cos(θ)/(b+μ_RW*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

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.
Normal Reaction at Rear Wheel - (Measured in Newton) - Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control.
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.
Friction Coefficient on Rear Wheel - Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Normal Reaction at Rear Wheel: 5700 Newton --> 5700 Newton No Conversion Required
Horizontal Distance of C.G. from Rear Axle: 1.2 Meter --> 1.2 Meter No Conversion Required
Friction Coefficient on Rear Wheel: 0.48 --> No Conversion Required
Height of C.G. of Vehicle: 0.007919 Meter --> 0.007919 Meter No Conversion Required
Road Inclination Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Vehicle Wheelbase: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = R_R/((x+μ_RW*h)*cos(θ)/(b+μ_RW*h)) --> 5700/((1.2+0.48*0.007919)*cos(0.1745329251994)/(2.7+0.48*0.007919))

Evaluating ... ...

W = 13000.0013455864

STEP 3: Convert Result to Output's Unit

13000.0013455864 Newton --> No Conversion Required

FINAL ANSWER

13000.0013455864 ≈ 13000 Newton <-- Vehicle Weight

(Calculation completed in 00.010 seconds)

You are here -

Home » Physics » Automobile » Race Car Vehicle Dynamics » Weight Transfer during Braking » Rear Wheel Braking for Racing Car » Mechanical » Effects on Rear Wheel (RW) » Weight of Vehicle on Rear 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!

< Effects on Rear Wheel (RW) Calculators

Friction Coefficient using Retardation on Rear Wheel

Go Friction Coefficient on Rear Wheel = ((Braking Retardation/[g]+sin(Road Inclination Angle))*Vehicle Wheelbase)/((Vehicle Wheelbase-Horizontal Distance of C.G. from Rear Axle)*cos(Road Inclination Angle)-((Braking Retardation/[g]+sin(Road Inclination Angle))*Height of C.G. of Vehicle))

Friction Coefficient between Wheel and Road Surface on Rear Wheel

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

Weight of Vehicle on Rear Wheel

Go Vehicle Weight = Normal Reaction at Rear Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle))

Normal Reaction Force at Rear Wheel

Go Normal Reaction at Rear Wheel = Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)

Weight of Vehicle on Rear Wheel Formula

Define Spoilers in Vehicles?

Spoilers in vehicles are aerodynamic devices attached to the rear or front of a car designed to improve stability and handling. They work by disrupting airflow to reduce lift and drag, enhancing the vehicle's grip on the road. This helps maintain better control at high speeds and can improve overall performance. Spoilers are commonly found on sports cars and performance vehicles, and their design and effectiveness vary based on their placement and intended purpose.

How to Calculate Weight of Vehicle on Rear Wheel?

Weight of Vehicle on Rear Wheel calculator uses Vehicle Weight = Normal Reaction at Rear Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)) to calculate the Vehicle Weight, Weight of Vehicle on Rear Wheel formula is defined as a measure of the weight distribution of a vehicle, specifically the load carried by the rear wheel, which is influenced by factors such as the vehicle's center of gravity, road inclination, and frictional forces. Vehicle Weight is denoted by W symbol.

How to calculate Weight of Vehicle on Rear Wheel using this online calculator? To use this online calculator for Weight of Vehicle on Rear Wheel, enter Normal Reaction at Rear Wheel (R_R), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h), Road Inclination Angle (θ) & Vehicle Wheelbase (b) and hit the calculate button. Here is how the Weight of Vehicle on Rear Wheel calculation can be explained with given input values -> 13000 = 5700/((1.2+0.48*0.007919)*cos(0.1745329251994)/(2.7+0.48*0.007919)).

FAQ

What is Weight of Vehicle on Rear Wheel?

Weight of Vehicle on Rear Wheel formula is defined as a measure of the weight distribution of a vehicle, specifically the load carried by the rear wheel, which is influenced by factors such as the vehicle's center of gravity, road inclination, and frictional forces and is represented as W = R_R/((x+μ_RW*h)*cos(θ)/(b+μ_RW*h)) or Vehicle Weight = Normal Reaction at Rear Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)). Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control, 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, Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking, 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, Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability & Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.

How to calculate Weight of Vehicle on Rear Wheel?

Weight of Vehicle on Rear Wheel formula is defined as a measure of the weight distribution of a vehicle, specifically the load carried by the rear wheel, which is influenced by factors such as the vehicle's center of gravity, road inclination, and frictional forces is calculated using Vehicle Weight = Normal Reaction at Rear Wheel/((Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)*cos(Road Inclination Angle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)). To calculate Weight of Vehicle on Rear Wheel, you need Normal Reaction at Rear Wheel (R_R), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h), Road Inclination Angle (θ) & Vehicle Wheelbase (b). With our tool, you need to enter the respective value for Normal Reaction at Rear Wheel, Horizontal Distance of C.G. from Rear Axle, Friction Coefficient on Rear Wheel, Height of C.G. of Vehicle, Road Inclination Angle & Vehicle Wheelbase 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