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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
RB=mg(L-x)L+μbh
RB - Normal Reaction Between Ground And Rear Wheel?m - Mass of Vehicle?g - Acceleration Due to Gravity?L - Distance Between Center of Rear And Front Wheels?x - Perpendicular Distance of C.G?μb - Coefficient of Friction For Brake?h - Height of C.G. of Vehicle?

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

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Here is how the Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels equation looks like with Values.

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Here is how the Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels equation looks like.

139.0968Edit=55Edit9.8Edit(12Edit-8Edit)12Edit+0.35Edit10Edit
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Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels Solution

Follow our step by step solution on how to calculate Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels?

FIRST Step Consider the formula
RB=mg(L-x)L+μbh
Next Step Substitute values of Variables
RB=55kg9.8m/s²(12m-8m)12m+0.3510m
Next Step Prepare to Evaluate
RB=559.8(12-8)12+0.3510
Next Step Evaluate
RB=139.096774193548N
LAST Step Rounding Answer
RB=139.0968N

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

Variables
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: RB
Measurement: ForceUnit: N
Note: Value should be greater than 0.
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.
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.
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.
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.
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: μb
Measurement: NAUnit: Unitless
Note: Value should be less than 1.
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.

Other Formulas to find Normal Reaction Between Ground And Rear Wheel

​Go Normal Reaction on Rear Wheels when Brakes Applied to All Four Wheels
RB=mg-mg(μbh+x)L
​Go Normal Reaction on Rear Wheels when Brakes Applied to Front Wheels
RB=mg-mgxL-μbh

Other formulas in Total Normal Reaction category

​Go Normal Reaction on Front Wheels when Brakes Applied to All Four Wheels
RA=mg(μbh+x)L
​Go Normal Reaction on Front Wheels when Brakes Applied to Front Wheels
RA=mgxL-μbh

How to Evaluate Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels?

Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels evaluator uses 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) to evaluate the Normal Reaction Between Ground And Rear Wheel, Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels formula is defined as the measure of the normal force exerted by the ground on the rear wheels of a vehicle when the brakes are applied and there is no acceleration, which is essential for understanding the vehicle's stability and braking performance. Normal Reaction Between Ground And Rear Wheel is denoted by RB symbol.

How to evaluate Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels using this online evaluator? To use this online evaluator for Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels, enter Mass of Vehicle (m), Acceleration Due to Gravity (g), Distance Between Center of Rear And Front Wheels (L), Perpendicular Distance of C.G (x), Coefficient of Friction For Brake b) & Height of C.G. of Vehicle (h) and hit the calculate button.

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

What is the formula to find Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels?
The formula of Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels is expressed as 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). Here is an example- 139.0968 = (55*9.8*(12-8))/(12+0.35*10).
How to calculate Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels?
With Mass of Vehicle (m), Acceleration Due to Gravity (g), Distance Between Center of Rear And Front Wheels (L), Perpendicular Distance of C.G (x), Coefficient of Friction For Brake b) & Height of C.G. of Vehicle (h) we can find Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels using the formula - 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).
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)OpenImg
  • 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)OpenImg
  • 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)OpenImg
Can the Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels be negative?
No, the Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels, measured in Force cannot be negative.
Which unit is used to measure Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels?
Total Normal Reaction between Ground and Rear Wheels for 0 Accln, Brakes Applied to Rear Wheels 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 for 0 Accln, Brakes Applied to Rear Wheels can be measured.
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