FormulaDen.com

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

Slope of Road on Rear Wheel Formula

Fx Copy

LaTeX Copy

Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability. Check FAQs

θ = a \cos (\frac{R R}{W \cdot \frac{x + μ RW \cdot h}{b + μ RW \cdot h}})

θ - Road Inclination Angle?R_R - Normal Reaction at Rear Wheel?W - Vehicle Weight?x - Horizontal Distance of C.G. from Rear Axle?μ_RW - Friction Coefficient on Rear Wheel?h - Height of C.G. of Vehicle?b - Vehicle Wheelbase?

Slope of Road on Rear Wheel Example

With values

With units

Only example

Here is how the Slope of Road on Rear Wheel equation looks like with Values.

Here is how the Slope of Road on Rear Wheel equation looks like with Units.

Here is how the Slope of Road on Rear Wheel equation looks like.

10 = a \cos (\frac{5700}{13000 \cdot \frac{1.2 + 0.48 \cdot 0.0079}{2.7 + 0.48 \cdot 0.0079}})

10° = a \cos (\frac{5700N}{13000N \cdot \frac{1.2m + 0.48 \cdot 0.0079m}{2.7m + 0.48 \cdot 0.0079m}})

10 = a \cos (\frac{5700}{13000 \cdot \frac{1.2 + 0.48 \cdot 0.0079}{2.7 + 0.48 \cdot 0.0079}})

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

Automobile » fx Slope of Road on Rear Wheel

Slope of Road on Rear Wheel Solution

Follow our step by step solution on how to calculate Slope of Road on Rear Wheel?

FIRST Step Consider the formula

θ = a \cos (\frac{R R}{W \cdot \frac{x + μ RW \cdot h}{b + μ RW \cdot h}})

Next Step Substitute values of Variables

∴

θ = a \cos (\frac{5700N}{13000N \cdot \frac{1.2m + 0.48 \cdot 0.0079m}{2.7m + 0.48 \cdot 0.0079m}})

Next Step Prepare to Evaluate

∴

θ = a \cos (\frac{5700}{13000 \cdot \frac{1.2 + 0.48 \cdot 0.0079}{2.7 + 0.48 \cdot 0.0079}})

Next Step Evaluate

∴

θ = 0.174532338183046rad

Next Step Convert to Output's Unit

∴

θ = 9.9999663664404°

LAST Step Rounding Answer

∴

θ = 10°

Slope of Road on Rear Wheel Formula Elements

Variables

Functions

Road Inclination Angle

Road Inclination Angle is the angle at which the road is inclined, affecting the racing car's rear wheel braking performance and overall stability.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Road Inclination Angle

Normal Reaction at Rear Wheel

Normal Reaction at Rear Wheel is the upward force exerted by the ground on the rear wheel of a racing car during braking, affecting its stability and control.

Symbol: R_R

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction at Rear Wheel

Vehicle Weight

Vehicle Weight is the total weight of the racing car, including the driver, fuel, and other components, affecting the rear wheel braking performance.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vehicle Weight

Horizontal Distance of C.G. from Rear Axle

Horizontal Distance of C.G. from Rear Axle is the distance from the center of gravity to the rear axle, affecting the racing car's stability during rear wheel braking.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance of C.G. from Rear Axle

Friction Coefficient on Rear Wheel

Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.

Symbol: μ_RW

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Coefficient on Rear Wheel

Height of C.G. of Vehicle

Height of C.G. of Vehicle is the vertical distance of the center of gravity from the ground level of a racing car during rear wheel braking.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of C.G. of Vehicle

Vehicle Wheelbase

Vehicle Wheelbase is the distance between the center of the rear wheel and the point where the brake is applied in a racing car.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vehicle Wheelbase

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other formulas in Effects on Rear Wheel (RW) category

Go Friction Coefficient between Wheel and Road Surface on Rear Wheel

μ RW = \frac{R R \cdot b - W \cdot x \cdot \cos (θ)}{h \cdot (W \cdot \cos (θ) - R R)}

Go Friction Coefficient using Retardation on Rear Wheel

μ RW = \frac{(\frac{a}{[g]} + \sin (θ)) \cdot b}{(b - x) \cdot \cos (θ) - ((\frac{a}{[g]} + \sin (θ)) \cdot h)}

How to Evaluate Slope of Road on Rear Wheel?

Slope of Road on Rear Wheel evaluator uses Road Inclination Angle = acos(Normal Reaction at Rear Wheel/(Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle))) to evaluate the Road Inclination Angle, Slope of Road on Rear Wheel formula is defined as a measure of the inclination of the road surface at the rear wheel of a vehicle, which affects the vehicle's stability and traction, and is influenced by factors such as the road's curvature, the vehicle's weight distribution, and the frictional forces acting on the rear wheel. Road Inclination Angle is denoted by θ symbol.

How to evaluate Slope of Road on Rear Wheel using this online evaluator? To use this online evaluator for Slope of Road on Rear Wheel, enter Normal Reaction at Rear Wheel (R_R), Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h) & Vehicle Wheelbase (b) and hit the calculate button.

FAQs on Slope of Road on Rear Wheel

What is the formula to find Slope of Road on Rear Wheel?

The formula of Slope of Road on Rear Wheel is expressed as Road Inclination Angle = acos(Normal Reaction at Rear Wheel/(Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle))). Here is an example- 572.9559 = acos(5700/(13000*(1.2+0.48*0.007919)/(2.7+0.48*0.007919))).

How to calculate Slope of Road on Rear Wheel?

With Normal Reaction at Rear Wheel (R_R), Vehicle Weight (W), Horizontal Distance of C.G. from Rear Axle (x), Friction Coefficient on Rear Wheel (μ_RW), Height of C.G. of Vehicle (h) & Vehicle Wheelbase (b) we can find Slope of Road on Rear Wheel using the formula - Road Inclination Angle = acos(Normal Reaction at Rear Wheel/(Vehicle Weight*(Horizontal Distance of C.G. from Rear Axle+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle)/(Vehicle Wheelbase+Friction Coefficient on Rear Wheel*Height of C.G. of Vehicle))). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Slope of Road on Rear Wheel be negative?

No, the Slope of Road on Rear Wheel, measured in Angle cannot be negative.

Which unit is used to measure Slope of Road on Rear Wheel?

Slope of Road on Rear Wheel is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Slope of Road on Rear Wheel can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Slope of Road on Rear Wheel Formula

Slope of Road on Rear Wheel Example

Slope of Road on Rear Wheel Solution

Slope of Road on Rear Wheel Formula Elements

Other formulas in Effects on Rear Wheel (RW) category

How to Evaluate Slope of Road on Rear Wheel?

FAQs on Slope of Road on Rear Wheel

Variable Name