FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

Fx Copy

LaTeX Copy

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

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

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

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

With values

With units

Only example

Here is how the Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels equation looks like with Values.

Here is how the Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels equation looks like with Units.

Here is how the Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels equation looks like.

208.5169 = 55 \cdot 9.8 \cdot \cos (30) - \frac{55 \cdot 9.8 \cdot \cos (60) \cdot (0.35 \cdot 10 + 8)}{12}

208.5169N = 55kg \cdot 9.8m/s² \cdot \cos (30°) - \frac{55kg \cdot 9.8m/s² \cdot \cos (60°) \cdot (0.35 \cdot 10m + 8m)}{12m}

208.5169 = 55 \cdot 9.8 \cdot \cos (30) - \frac{55 \cdot 9.8 \cdot \cos (60) \cdot (0.35 \cdot 10 + 8)}{12}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx 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 Solution

Follow our step by step solution on how to calculate Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R B = 55kg \cdot 9.8m/s² \cdot \cos (30°) - \frac{55kg \cdot 9.8m/s² \cdot \cos (60°) \cdot (0.35 \cdot 10m + 8m)}{12m}

Next Step Convert Units

∴

R B = 55kg \cdot 9.8m/s² \cdot \cos (0.5236rad) - \frac{55kg \cdot 9.8m/s² \cdot \cos (1.0472rad) \cdot (0.35 \cdot 10m + 8m)}{12m}

Next Step Prepare to Evaluate

∴

R B = 55 \cdot 9.8 \cdot \cos (0.5236) - \frac{55 \cdot 9.8 \cdot \cos (1.0472) \cdot (0.35 \cdot 10 + 8)}{12}

Next Step Evaluate

∴

R B = 208.516859306391N

LAST Step Rounding Answer

∴

R B = 208.5169N

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

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

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

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

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

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

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

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 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 evaluator 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 evaluate 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 evaluate Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels using this online evaluator? To use this online evaluator 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.

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

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

The formula of Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels is expressed as 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). Here is an example- 208.5169 = 55*9.8*cos(0.5235987755982)-(55*9.8*cos(1.0471975511964)*(0.35*10+8))/(12).

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

With 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) we can find Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels using the formula - 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). 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 Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels be negative?

No, the Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels, measured in Force cannot be negative.

Which unit is used to measure 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 is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Reaction on Rear Wheels on Inclined Plane when Brakes Applied to All Four Wheels can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

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

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

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

Other Formulas to find Normal Reaction Between Ground And Rear Wheel

Other formulas in Total Normal Reaction category

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

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

Variable Name

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