Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only Calculator

✖Mass of Vehicle is a quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass of Vehicle [m]			+10% -10%
✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.ⓘ Angle of Inclination of Plane to Horizontal [α_i]			+10% -10%
✖Distance Between Center of Rear And Front Wheels is a numerical measurement of how far apart objects or points are.ⓘ Distance Between Center of Rear And Front Wheels [L]			+10% -10%
✖Perpendicular Distance of C.G from the rear axle is a numerical measurement of how far apart objects or points are.ⓘ Perpendicular Distance of C.G [x]			+10% -10%
✖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.ⓘ Coefficient of Friction For Brake [μ_b]			+10% -10%
✖Height of C.G. of Vehicle above the road surface is a numerical measurement of how far apart objects or points are.ⓘ Height of C.G. of Vehicle [h]			+10% -10%

✖Normal Reaction Between Ground And Rear Wheel is forced acting perpendicular to two surfaces in contact with each other.ⓘ Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only [R_B]

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Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_B = (m*g*cos(α_i)*(L-x))/(L+μ_b*h)
This formula uses 1 Functions, 8 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 Between Ground And Rear Wheel - (Measured in Newton) - 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.
Angle of Inclination of Plane to Horizontal - (Measured in Radian) - Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
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.
Perpendicular Distance of C.G - (Measured in Meter) - Perpendicular Distance of C.G from the rear axle 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) - 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
Angle of Inclination of Plane to Horizontal: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Distance Between Center of Rear And Front Wheels: 12 Meter --> 12 Meter No Conversion Required
Perpendicular Distance of C.G: 8 Meter --> 8 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

R_B = (m*g*cos(α_i)*(L-x))/(L+μ_b*h) --> (55*9.8*cos(1.0471975511964)*(12-8))/(12+0.35*10)

Evaluating ... ...

R_B = 69.548387096798

STEP 3: Convert Result to Output's Unit

69.548387096798 Newton --> No Conversion Required

FINAL ANSWER

69.548387096798 ≈ 69.54839 Newton <-- Normal Reaction Between Ground And Rear Wheel

(Calculation completed in 00.017 seconds)

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Home » Physics » Theory of Machine » Brakes and Dynamometers » Mechanical » Total Normal Reaction » Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Total Normal Reaction Calculators

Total Normal Reaction between Ground and Front Wheels for 0 Accln, Brakes Applied to Rear Wheels

LaTeX 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 Rear Wheels when Brakes Applied to All Four Wheels

LaTeX 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 Front Wheels when Brakes Applied to All Four Wheels

LaTeX 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

LaTeX 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)

Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only Formula

LaTeX Go

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 Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only?

Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only calculator uses 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) to calculate the Normal Reaction Between Ground And Rear Wheel, Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only formula is defined as a measure of the vertical force exerted by the ground on the rear wheels of a vehicle when the brakes are applied, taking into account the inclination of the road, the weight of the vehicle, and the braking friction. Normal Reaction Between Ground And Rear Wheel is denoted by R_B symbol.

How to calculate Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only using this online calculator? To use this online calculator for Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only, enter Mass of Vehicle (m), Acceleration Due to Gravity (g), Angle of Inclination of Plane to Horizontal (α_i), Distance Between Center of Rear And Front Wheels (L), Perpendicular Distance of C.G (x), Coefficient of Friction For Brake (μ_b) & Height of C.G. of Vehicle (h) and hit the calculate button. Here is how the Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only calculation can be explained with given input values -> 69.54839 = (55*9.8*cos(1.0471975511964)*(12-8))/(12+0.35*10).

FAQ

What is Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only?

Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only formula is defined as a measure of the vertical force exerted by the ground on the rear wheels of a vehicle when the brakes are applied, taking into account the inclination of the road, the weight of the vehicle, and the braking friction and is represented as R_B = (m*g*cos(α_i)*(L-x))/(L+μ_b*h) or 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). 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, Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians, Distance Between Center of Rear And Front Wheels is a numerical measurement of how far apart objects or points are, Perpendicular Distance of C.G from the rear axle 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 & 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 Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only?

Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only formula is defined as a measure of the vertical force exerted by the ground on the rear wheels of a vehicle when the brakes are applied, taking into account the inclination of the road, the weight of the vehicle, and the braking friction is calculated using 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). To calculate Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only, you need Mass of Vehicle (m), Acceleration Due to Gravity (g), Angle of Inclination of Plane to Horizontal (α_i), Distance Between Center of Rear And Front Wheels (L), Perpendicular Distance of C.G (x), Coefficient of Friction For Brake (μ_b) & 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, Angle of Inclination of Plane to Horizontal, Distance Between Center of Rear And Front Wheels, Perpendicular Distance of C.G, 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, Angle of Inclination of Plane to Horizontal, Distance Between Center of Rear And Front Wheels, Perpendicular Distance of C.G, Coefficient of Friction For Brake & Height of C.G. of Vehicle. We can use 3 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-(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 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)

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