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Angle of Outside Lock given Turning Radius of Outer Rear Wheel Formula

GoAngle of Outside Wheel Lock Satisfying Correct Steering Condition Formula

GoAngle of Outside Lock given Turning Radius of Outer Front Wheel Formula

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Angle of Outside Wheel Lock is the maximum angle at which the outside wheel can turn while steering a vehicle without any obstruction or interference. Check FAQs

θ out = a \tan (\frac{L}{R OR - \frac{a tw - c}{2}})

θ_out - Angle of Outside Wheel Lock?L - Wheelbase of Vehicle?R_OR - Turning Radius of Outer Rear Wheel?a_tw - Track Width of Vehicle?c - Distance between Front Wheel Pivot Center?

Angle of Outside Lock given Turning Radius of Outer Rear Wheel Example

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Here is how the Angle of Outside Lock given Turning Radius of Outer Rear Wheel equation looks like with Values.

Here is how the Angle of Outside Lock given Turning Radius of Outer Rear Wheel equation looks like with Units.

Here is how the Angle of Outside Lock given Turning Radius of Outer Rear Wheel equation looks like.

0.7286 = a \tan (\frac{2700}{3960 - \frac{1999 - 130}{2}})

0.7286rad = a \tan (\frac{2700mm}{3960mm - \frac{1999mm - 130mm}{2}})

0.7286 = a \tan (\frac{2700}{3960 - \frac{1999 - 130}{2}})

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Angle of Outside Lock given Turning Radius of Outer Rear Wheel Solution

Follow our step by step solution on how to calculate Angle of Outside Lock given Turning Radius of Outer Rear Wheel?

FIRST Step Consider the formula

θ out = a \tan (\frac{L}{R OR - \frac{a tw - c}{2}})

Next Step Substitute values of Variables

∴

θ out = a \tan (\frac{2700mm}{3960mm - \frac{1999mm - 130mm}{2}})

Next Step Convert Units

∴

θ out = a \tan (\frac{2.7m}{3.96m - \frac{1.999m - 0.13m}{2}})

Next Step Prepare to Evaluate

∴

θ out = a \tan (\frac{2.7}{3.96 - \frac{1.999 - 0.13}{2}})

Next Step Evaluate

∴

θ out = 0.728608362785417rad

LAST Step Rounding Answer

∴

θ out = 0.7286rad

Angle of Outside Lock given Turning Radius of Outer Rear Wheel Formula Elements

Variables

Functions

Angle of Outside Wheel Lock

Angle of Outside Wheel Lock is the maximum angle at which the outside wheel can turn while steering a vehicle without any obstruction or interference.

Symbol: θ_out

Measurement: AngleUnit: rad

Note: Value should be between 0 to 90.

Formulas to find Angle of Outside Wheel Lock

Wheelbase of Vehicle

Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the vehicle's stability and steering performance.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wheelbase of Vehicle

Turning Radius of Outer Rear Wheel

Turning Radius of Outer Rear Wheel is the distance from the center of the outer rear wheel to the turning center of the vehicle concerning steering.

Symbol: R_OR

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Turning Radius of Outer Rear Wheel

Track Width of Vehicle

Track Width of Vehicle is the distance between the centerlines of the left and right wheels of a vehicle's steering system.

Symbol: a_tw

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Track Width of Vehicle

Distance between Front Wheel Pivot Center

Distance between Front Wheel Pivot Center is the length between the pivot point of the front wheel and the center of the steering system.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance between Front Wheel Pivot Center

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Angle of Outside Wheel Lock

Go Angle of Outside Wheel Lock Satisfying Correct Steering Condition

θ out = a \cot (\cot (θ in) + \frac{c}{L})

Go Angle of Outside Lock given Turning Radius of Outer Front Wheel

θ out = a \sin (\frac{L}{R OF - \frac{a tw - c}{2}})

Other formulas in Steering Parameters category

Go Angle of Inside Wheel Lock Satisfying Correct Steering Condition

θ in = a \cot (\cot (θ out) - \frac{c}{L})

Go Motion Ratio or Installation Ratio in Suspension

M.R. = \frac{ST}{WT}

Go Angle of Inside Lock given Turning Radius of Inner Front Wheel

θ in = a \sin (\frac{L}{R IF + \frac{a tw - c}{2}})

Go Angle of Inside Lock given Turning Radius of Inner Rear Wheel

θ in = a \tan (\frac{L}{R IR + \frac{a tw - c}{2}})

How to Evaluate Angle of Outside Lock given Turning Radius of Outer Rear Wheel?

Angle of Outside Lock given Turning Radius of Outer Rear Wheel evaluator uses Angle of Outside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)) to evaluate the Angle of Outside Wheel Lock, Angle of Outside Lock given Turning Radius of Outer Rear Wheel formula is defined as the angle at which the outer rear wheel of a vehicle turns when navigating a curve, taking into account the turning radius of the outer rear wheel and other vehicle dimensions, providing a critical parameter for vehicle stability and safety. Angle of Outside Wheel Lock is denoted by θ_out symbol.

How to evaluate Angle of Outside Lock given Turning Radius of Outer Rear Wheel using this online evaluator? To use this online evaluator for Angle of Outside Lock given Turning Radius of Outer Rear Wheel, enter Wheelbase of Vehicle (L), Turning Radius of Outer Rear Wheel (R_OR), Track Width of Vehicle (a_tw) & Distance between Front Wheel Pivot Center (c) and hit the calculate button.

FAQs on Angle of Outside Lock given Turning Radius of Outer Rear Wheel

What is the formula to find Angle of Outside Lock given Turning Radius of Outer Rear Wheel?

The formula of Angle of Outside Lock given Turning Radius of Outer Rear Wheel is expressed as Angle of Outside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)). Here is an example- 0.728608 = atan(2.7/(3.96-(1.999-0.13)/2)).

How to calculate Angle of Outside Lock given Turning Radius of Outer Rear Wheel?

With Wheelbase of Vehicle (L), Turning Radius of Outer Rear Wheel (R_OR), Track Width of Vehicle (a_tw) & Distance between Front Wheel Pivot Center (c) we can find Angle of Outside Lock given Turning Radius of Outer Rear Wheel using the formula - Angle of Outside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Angle of Outside Wheel Lock?

Here are the different ways to Calculate Angle of Outside Wheel Lock-

Angle of Outside Wheel Lock=acot(cot(Angle of Inside Wheel Lock)+Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)
Angle of Outside Wheel Lock=asin(Wheelbase of Vehicle/(Turning Radius of Outer Front Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2))

Can the Angle of Outside Lock given Turning Radius of Outer Rear Wheel be negative?

No, the Angle of Outside Lock given Turning Radius of Outer Rear Wheel, measured in Angle cannot be negative.

Which unit is used to measure Angle of Outside Lock given Turning Radius of Outer Rear Wheel?

Angle of Outside Lock given Turning Radius of Outer Rear Wheel is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angle of Outside Lock given Turning Radius of Outer Rear Wheel can be measured.

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Angle of Outside Lock given Turning Radius of Outer Rear Wheel Formula

​GoAngle of Outside Wheel Lock Satisfying Correct Steering Condition Formula

​GoAngle of Outside Lock given Turning Radius of Outer Front Wheel Formula

Angle of Outside Lock given Turning Radius of Outer Rear Wheel Example

Angle of Outside Lock given Turning Radius of Outer Rear Wheel Solution

Angle of Outside Lock given Turning Radius of Outer Rear Wheel Formula Elements

Other Formulas to find Angle of Outside Wheel Lock

Other formulas in Steering Parameters category

How to Evaluate Angle of Outside Lock given Turning Radius of Outer Rear Wheel?

FAQs on Angle of Outside Lock given Turning Radius of Outer Rear Wheel

Variable Name

GoAngle of Outside Wheel Lock Satisfying Correct Steering Condition Formula

GoAngle of Outside Lock given Turning Radius of Outer Front Wheel Formula