Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
RB = m*g-(m*g*x)/(L-μbrake*h)
This formula uses 7 Variables
Variables Used
Normal reaction between ground and rear wheel - (Measured in Newton) - The normal reaction between ground and rear wheel is forced acting perpendicular to two surfaces in contact with each other.
Mass of vehicle - (Measured in Kilogram) - Mass of vehicle is a quantitative measure of inertia, a fundamental property of all matter.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Perpendicular distance of C.G - (Measured in Meter) - The perpendicular distance of C.G from the rear axle is a numerical measurement of how far apart objects or points are.
Distance between center of rear and front wheels - (Measured in Meter) - Distance between center of rear and front wheels is a numerical measurement of how far apart objects or points are.
Coefficient of Friction for Brake - Coefficient of Friction for Brake is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Height of C.G. of vehicle - (Measured in Meter) - The height of C.G. of vehicle above the road surface is a numerical measurement of how far apart objects or points are.
STEP 1: Convert Input(s) to Base Unit
Mass of vehicle: 55 Kilogram --> 55 Kilogram No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Perpendicular distance of C.G: 8 Meter --> 8 Meter No Conversion Required
Distance between center of rear and front wheels: 12 Meter --> 12 Meter No Conversion Required
Coefficient of Friction for Brake: 0.35 --> No Conversion Required
Height of C.G. of vehicle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RB = m*g-(m*g*x)/(L-μbrake*h) --> 55*9.8-(55*9.8*8)/(12-0.35*10)
Evaluating ... ...
RB = 31.7058823529412
STEP 3: Convert Result to Output's Unit
31.7058823529412 Newton --> No Conversion Required
FINAL ANSWER
31.7058823529412 31.70588 Newton <-- Normal reaction between ground and rear wheel
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

12 Total Normal Reaction Calculators

Normal Reaction on Rear Wheels on Inclined Plane when Brake Applied to Front Wheels
Go Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)-(Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels
Go Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity*cos(Angle of Inclination)-(Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*(Coefficient of Friction for Brake*Height of C.G. of vehicle+Perpendicular distance of C.G))/(Distance between center of rear and front wheels)
Total Normal Reaction between Ground and Front Wheels when Brakes are Applied to Rear Wheels only
Go Normal reaction between ground and front wheel = (Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*(Perpendicular distance of C.G+Coefficient of Friction for Brake*Height of C.G. of vehicle))/(Distance between center of rear and front wheels+Coefficient of Friction for Brake*Height of C.G. of vehicle)
Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only
Go Normal reaction between ground and rear wheel = (Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*(Distance between center of rear and front wheels-Perpendicular distance of C.G))/(Distance between center of rear and front wheels+Coefficient of Friction for Brake*Height of C.G. of vehicle)
Total Normal Reaction between Ground and Front Wheels for 0 Accln, Brakes Applied to Rear Wheels
Go Normal reaction between ground and front wheel = (Mass of vehicle*Acceleration due to Gravity*(Perpendicular distance of C.G+Coefficient of Friction for Brake*Height of C.G. of vehicle))/(Distance between center of rear and front wheels+Coefficient of Friction for Brake*Height of C.G. of vehicle)
Normal Reaction on Front Wheels on Inclined Plane when Brakes Applied to All Four Wheels
Go Normal reaction between ground and front wheel = (Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*(Coefficient of Friction for Brake*Height of C.G. of vehicle+Perpendicular distance of C.G))/(Distance between center of rear and front wheels)
Normal Reaction on Front Wheels on Inclined Plane when Brake Applied to Front Wheels
Go Normal reaction between ground and front wheel = (Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
Normal Reaction on Rear Wheels when Brakes Applied to All Four Wheels
Go Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*(Coefficient of Friction for Brake*Height of C.G. of vehicle+Perpendicular distance of C.G))/(Distance between center of rear and front wheels)
Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels
Go Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels
Go Normal reaction between ground and rear wheel = (Mass of vehicle*Acceleration due to Gravity*(Distance between center of rear and front wheels-Perpendicular distance of C.G))/(Distance between center of rear and front wheels+Coefficient of Friction for Brake*Height of C.G. of vehicle)
Normal Reaction on Front Wheels when Brakes Applied to All Four Wheels
Go Normal reaction between ground and front wheel = (Mass of vehicle*Acceleration due to Gravity*(Coefficient of Friction for Brake*Height of C.G. of vehicle+Perpendicular distance of C.G))/(Distance between center of rear and front wheels)
Normal Reaction on Front Wheels when Brakes Applied to Front Wheels
Go Normal reaction between ground and front wheel = (Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)

Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels Formula

Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
RB = m*g-(m*g*x)/(L-μbrake*h)

What is braking system in a vehicle?

A brake system is designed to slow and halt the motion of the vehicle. To do this, various components within the brake system must convert the vehicle's moving energy into heat. This is done by using friction. Friction is the resistance to movement exerted by two objects on each other.

How to Calculate Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels?

Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels calculator uses Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle) to calculate the Normal reaction between ground and rear wheel, The Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels formula is defined as the force acting perpendicular to two surfaces in contact with each other. Normal reaction between ground and rear wheel is denoted by RB symbol.

How to calculate Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels using this online calculator? To use this online calculator for Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels, enter Mass of vehicle (m), Acceleration due to Gravity (g), Perpendicular distance of C.G (x), Distance between center of rear and front wheels (L), Coefficient of Friction for Brake brake) & Height of C.G. of vehicle (h) and hit the calculate button. Here is how the Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels calculation can be explained with given input values -> 31.70588 = 55*9.8-(55*9.8*8)/(12-0.35*10).

FAQ

What is Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels?
The Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels formula is defined as the force acting perpendicular to two surfaces in contact with each other and is represented as RB = m*g-(m*g*x)/(L-μbrake*h) or Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle). Mass of vehicle is a quantitative measure of inertia, a fundamental property of all matter, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, The perpendicular distance of C.G from the rear axle is a numerical measurement of how far apart objects or points are, Distance between center of rear and front wheels is a numerical measurement of how far apart objects or points are, Coefficient of Friction for Brake is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & The height of C.G. of vehicle above the road surface is a numerical measurement of how far apart objects or points are.
How to calculate Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels?
The Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels formula is defined as the force acting perpendicular to two surfaces in contact with each other is calculated using Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle). To calculate Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels, you need Mass of vehicle (m), Acceleration due to Gravity (g), Perpendicular distance of C.G (x), Distance between center of rear and front wheels (L), Coefficient of Friction for Brake brake) & Height of C.G. of vehicle (h). With our tool, you need to enter the respective value for Mass of vehicle, Acceleration due to Gravity, Perpendicular distance of C.G, Distance between center of rear and front wheels, Coefficient of Friction for Brake & 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.
How many ways are there to calculate Normal reaction between ground and rear wheel?
In this formula, Normal reaction between ground and rear wheel uses Mass of vehicle, Acceleration due to Gravity, Perpendicular distance of C.G, Distance between center of rear and front wheels, Coefficient of Friction for Brake & Height of C.G. of vehicle. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity-(Mass of vehicle*Acceleration due to Gravity*(Coefficient of Friction for Brake*Height of C.G. of vehicle+Perpendicular distance of C.G))/(Distance between center of rear and front wheels)
  • Normal reaction between ground and rear wheel = (Mass of vehicle*Acceleration due to Gravity*(Distance between center of rear and front wheels-Perpendicular distance of C.G))/(Distance between center of rear and front wheels+Coefficient of Friction for Brake*Height of C.G. of vehicle)
  • Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity*cos(Angle of Inclination)-(Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*(Coefficient of Friction for Brake*Height of C.G. of vehicle+Perpendicular distance of C.G))/(Distance between center of rear and front wheels)
  • Normal reaction between ground and rear wheel = Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)-(Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*Perpendicular distance of C.G)/(Distance between center of rear and front wheels-Coefficient of Friction for Brake*Height of C.G. of vehicle)
  • Normal reaction between ground and rear wheel = (Mass of vehicle*Acceleration due to Gravity*cos(Angle of inclination of plane to horizontal)*(Distance between center of rear and front wheels-Perpendicular distance of C.G))/(Distance between center of rear and front wheels+Coefficient of Friction for Brake*Height of C.G. of vehicle)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!