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

GoNormal Reaction on Rear Wheels when Brakes Applied to All Four Wheels Formula

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

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Normal Reaction Between Ground And Rear Wheel is forced acting perpendicular to two surfaces in contact with each other. Check FAQs

R B = \frac{m \cdot g \cdot \cos (α i) \cdot (L - x)}{L + μ b \cdot h}

R_B - Normal Reaction Between Ground And Rear Wheel?m - Mass of Vehicle?g - Acceleration Due to Gravity?α_i - Angle of Inclination of Plane to Horizontal?L - Distance Between Center of Rear And Front Wheels?x - Perpendicular Distance of C.G?μ_b - Coefficient of Friction For Brake?h - Height of C.G. of Vehicle?

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

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Here is how the Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only equation looks like with Values.

Here is how the Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only equation looks like with Units.

Here is how the Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only equation looks like.

69.5484 = \frac{55 \cdot 9.8 \cdot \cos (60) \cdot (12 - 8)}{12 + 0.35 \cdot 10}

69.5484N = \frac{55kg \cdot 9.8m/s² \cdot \cos (60°) \cdot (12m - 8m)}{12m + 0.35 \cdot 10m}

69.5484 = \frac{55 \cdot 9.8 \cdot \cos (60) \cdot (12 - 8)}{12 + 0.35 \cdot 10}

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

Follow our step by step solution on how to calculate Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only?

FIRST Step Consider the formula

R B = \frac{m \cdot g \cdot \cos (α i) \cdot (L - x)}{L + μ b \cdot h}

Next Step Substitute values of Variables

∴

R B = \frac{55kg \cdot 9.8m/s² \cdot \cos (60°) \cdot (12m - 8m)}{12m + 0.35 \cdot 10m}

Next Step Convert Units

∴

R B = \frac{55kg \cdot 9.8m/s² \cdot \cos (1.0472rad) \cdot (12m - 8m)}{12m + 0.35 \cdot 10m}

Next Step Prepare to Evaluate

∴

R B = \frac{55 \cdot 9.8 \cdot \cos (1.0472) \cdot (12 - 8)}{12 + 0.35 \cdot 10}

Next Step Evaluate

∴

R B = 69.548387096798N

LAST Step Rounding Answer

∴

R B = 69.5484N

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

Variables

Functions

Normal Reaction Between Ground And Rear Wheel

Normal Reaction Between Ground And Rear Wheel is forced acting perpendicular to two surfaces in contact with each other.

Symbol: R_B

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction Between Ground And Rear Wheel

Mass of Vehicle

Mass of Vehicle is a quantitative measure of inertia, a fundamental property of all matter.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Vehicle

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Angle of Inclination of Plane to Horizontal

Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.

Symbol: α_i

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Inclination of Plane to Horizontal

Distance Between Center of Rear And Front Wheels

Distance Between Center of Rear And Front Wheels is a numerical measurement of how far apart objects or points are.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between Center of Rear And Front Wheels

Perpendicular Distance of C.G

Perpendicular Distance of C.G from the rear axle is a numerical measurement of how far apart objects or points are.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perpendicular Distance of C.G

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.

Symbol: μ_b

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction For Brake

Height of C.G. of Vehicle

Height of C.G. of Vehicle above the road surface is a numerical measurement of how far apart objects or points are.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of C.G. of Vehicle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Normal Reaction Between Ground And Rear Wheel

Go Normal Reaction on Rear Wheels when Brakes Applied to All Four Wheels

R B = m \cdot g - \frac{m \cdot g \cdot (μ b \cdot h + x)}{L}

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

R B = m \cdot g - \frac{m \cdot g \cdot x}{L - μ b \cdot h}

Other formulas in Total Normal Reaction category

Go Normal Reaction on Front Wheels when Brakes Applied to All Four Wheels

R A = \frac{m \cdot g \cdot (μ b \cdot h + x)}{L}

Go Normal Reaction on Front Wheels when Brakes Applied to Front Wheels

R A = \frac{m \cdot g \cdot x}{L - μ b \cdot h}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only using this online evaluator? To use this online evaluator 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.

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

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

The formula of Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only is expressed as 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). Here is an example- 69.54839 = (55*9.8*cos(1.0471975511964)*(12-8))/(12+0.35*10).

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

With 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) we can find Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only using the formula - 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). This formula also uses Cosine function(s).

What are the other ways to Calculate Normal Reaction Between Ground And Rear Wheel?

Here are the different ways to Calculate Normal Reaction Between Ground And Rear Wheel-

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)

Can the Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only be negative?

No, the Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only, measured in Force cannot be negative.

Which unit is used to measure 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 is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Normal Reaction between Ground and Rear Wheels when Brakes Applied to Rear Wheels only can be measured.

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

​GoNormal Reaction on Rear Wheels when Brakes Applied to All Four Wheels Formula

​GoNormal Reaction on Rear Wheels when Brakes Applied to Front Wheels Formula

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

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

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

Other Formulas to find Normal Reaction Between Ground And Rear Wheel

Other formulas in Total Normal Reaction category

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

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

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GoNormal Reaction on Rear Wheels when Brakes Applied to All Four Wheels Formula

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