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

GoAngle of Outside Wheel Lock Satisfying Correct Steering Condition Formula

GoAngle of Outside Lock given Turning Radius of Outer Rear 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 \sin (\frac{L}{R OF - \frac{a tw - c}{2}})

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

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

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

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

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

0.7285 = a \sin (\frac{2700}{4990 - \frac{1999 - 130}{2}})

0.7285rad = a \sin (\frac{2700mm}{4990mm - \frac{1999mm - 130mm}{2}})

0.7285 = a \sin (\frac{2700}{4990 - \frac{1999 - 130}{2}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ out = a \sin (\frac{2700mm}{4990mm - \frac{1999mm - 130mm}{2}})

Next Step Convert Units

∴

θ out = a \sin (\frac{2.7m}{4.99m - \frac{1.999m - 0.13m}{2}})

Next Step Prepare to Evaluate

∴

θ out = a \sin (\frac{2.7}{4.99 - \frac{1.999 - 0.13}{2}})

Next Step Evaluate

∴

θ out = 0.728515306324339rad

LAST Step Rounding Answer

∴

θ out = 0.7285rad

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

Turning Radius of Outer Front Wheel is the distance from the center of the outer front wheel to the center of the turning circle during cornering.

Symbol: R_OF

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Turning Radius of Outer Front 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(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 Rear Wheel

θ out = a \tan (\frac{L}{R OR - \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 Front Wheel?

Angle of Outside Lock given Turning Radius of Outer Front Wheel evaluator uses 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)) to evaluate the Angle of Outside Wheel Lock, Angle of Outside Lock given Turning Radius of Outer Front Wheel formula is defined as the angle at which the outer front wheel of a vehicle turns when navigating a curve, taking into account the vehicle's dimensions and the turning radius of the outer front wheel, providing a critical parameter for vehicle dynamics and stability analysis. Angle of Outside Wheel Lock is denoted by θ_out symbol.

How to evaluate Angle of Outside Lock given Turning Radius of Outer Front Wheel using this online evaluator? To use this online evaluator for Angle of Outside Lock given Turning Radius of Outer Front Wheel, enter Wheelbase of Vehicle (L), Turning Radius of Outer Front Wheel (R_OF), 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 Front Wheel

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

The formula of Angle of Outside Lock given Turning Radius of Outer Front Wheel is expressed as 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)). Here is an example- 0.728515 = asin(2.7/(4.99-(1.999-0.13)/2)).

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

With Wheelbase of Vehicle (L), Turning Radius of Outer Front Wheel (R_OF), 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 Front Wheel using the formula - 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)). This formula also uses Sine (sin), Inverse Sine (asin) 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=atan(Wheelbase of Vehicle/(Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2))

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

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

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

Angle of Outside Lock given Turning Radius of Outer Front 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 Front Wheel can be measured.

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

​GoAngle of Outside Wheel Lock Satisfying Correct Steering Condition Formula

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

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

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

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

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

Variable Name

GoAngle of Outside Wheel Lock Satisfying Correct Steering Condition Formula

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