Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels 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 is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ_i]			+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%
✖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%
✖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%
✖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%

✖Normal Reaction Between Ground And Rear Wheel is forced acting perpendicular to two surfaces in contact with each other.ⓘ Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels [R_B]

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Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels 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)-(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)
R_B = m*g*cos(θ_i)-(m*g*cos(α_i)*(μ_b*h+x))/(L)
This formula uses 1 Functions, 9 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 - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.
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.
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.
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.
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.

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: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle of Inclination of Plane to Horizontal: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Coefficient of Friction For Brake: 0.35 --> No Conversion Required
Height of C.G. of Vehicle: 10 Meter --> 10 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_B = m*g*cos(θ_i)-(m*g*cos(α_i)*(μ_b*h+x))/(L) --> 55*9.8*cos(0.5235987755982)-(55*9.8*cos(1.0471975511964)*(0.35*10+8))/(12)

Evaluating ... ...

R_B = 208.516859306391

STEP 3: Convert Result to Output's Unit

208.516859306391 Newton --> No Conversion Required

FINAL ANSWER

208.516859306391 ≈ 208.5169 Newton <-- Normal Reaction Between Ground And Rear Wheel

(Calculation completed in 00.020 seconds)

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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)

Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels Formula

LaTeX Go

What is the brake?

A brake is a mechanical device that inhibits motion by absorbing energy from a moving system. It is used for slowing or stopping a moving vehicle, wheel, axle, or to prevent its motion, most often accomplished by means of friction.

How to Calculate Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels?

Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels calculator uses 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) to calculate the Normal Reaction Between Ground And Rear Wheel, Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels formula is defined as the total normal reaction force exerted on the rear wheels of a vehicle when the brakes are applied to all four wheels on an inclined plane, taking into account the weight of the vehicle, the angle of inclination, and the braking force. Normal Reaction Between Ground And Rear Wheel is denoted by R_B symbol.

How to calculate Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels using this online calculator? To use this online calculator for Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels, enter Mass of Vehicle (m), Acceleration Due to Gravity (g), Angle of Inclination (θ_i), Angle of Inclination of Plane to Horizontal (α_i), Coefficient of Friction For Brake (μ_b), Height of C.G. of Vehicle (h), Perpendicular Distance of C.G (x) & Distance Between Center of Rear And Front Wheels (L) and hit the calculate button. Here is how the Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels calculation can be explained with given input values -> 208.5169 = 55*9.8*cos(0.5235987755982)-(55*9.8*cos(1.0471975511964)*(0.35*10+8))/(12).

FAQ

What is Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels?

Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels formula is defined as the total normal reaction force exerted on the rear wheels of a vehicle when the brakes are applied to all four wheels on an inclined plane, taking into account the weight of the vehicle, the angle of inclination, and the braking force and is represented as R_B = m*g*cos(θ_i)-(m*g*cos(α_i)*(μ_b*h+x))/(L) or 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). 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 is formed by the inclination of one line to another; measured in degrees or radians, Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians, 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, 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.

How to calculate Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels?

Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels formula is defined as the total normal reaction force exerted on the rear wheels of a vehicle when the brakes are applied to all four wheels on an inclined plane, taking into account the weight of the vehicle, the angle of inclination, and the braking force is calculated using 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). To calculate Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels, you need Mass of Vehicle (m), Acceleration Due to Gravity (g), Angle of Inclination (θ_i), Angle of Inclination of Plane to Horizontal (α_i), Coefficient of Friction For Brake (μ_b), Height of C.G. of Vehicle (h), Perpendicular Distance of C.G (x) & Distance Between Center of Rear And Front Wheels (L). With our tool, you need to enter the respective value for Mass of Vehicle, Acceleration Due to Gravity, Angle of Inclination, 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 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, 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. 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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