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

GoAngle of Inside Wheel Lock Satisfying Correct Steering Condition Formula

GoAngle of Inside Lock given Turning Radius of Inner Front Wheel Formula

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Angle of Inside Wheel Lock is the angle at which the inside wheel is locked while steering, affecting the vehicle's turning radius and stability. Check FAQs

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

θ_in - Angle of Inside Wheel Lock?L - Wheelbase of Vehicle?R_IR - Turning Radius of Rear Inner Wheel?a_tw - Track Width of Vehicle?c - Distance between Front Wheel Pivot Center?

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

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

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

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

0.7506 = a \tan (\frac{2700}{1960 + \frac{1999 - 130}{2}})

0.7506rad = a \tan (\frac{2700mm}{1960mm + \frac{1999mm - 130mm}{2}})

0.7506 = a \tan (\frac{2700}{1960 + \frac{1999 - 130}{2}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ in = a \tan (\frac{2700mm}{1960mm + \frac{1999mm - 130mm}{2}})

Next Step Convert Units

∴

θ in = a \tan (\frac{2.7m}{1.96m + \frac{1.999m - 0.13m}{2}})

Next Step Prepare to Evaluate

∴

θ in = a \tan (\frac{2.7}{1.96 + \frac{1.999 - 0.13}{2}})

Next Step Evaluate

∴

θ in = 0.750645872206354rad

LAST Step Rounding Answer

∴

θ in = 0.7506rad

Angle of Inside Lock given Turning Radius of Inner Rear Wheel Formula Elements

Variables

Functions

Angle of Inside Wheel Lock

Angle of Inside Wheel Lock is the angle at which the inside wheel is locked while steering, affecting the vehicle's turning radius and stability.

Symbol: θ_in

Measurement: AngleUnit: rad

Note: Value should be between 0 to 90.

Formulas to find Angle of Inside 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 Rear Inner Wheel

Turning Radius of Rear Inner Wheel is the radius of the circular path taken by the rear inner wheel when the vehicle is turning.

Symbol: R_IR

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Turning Radius of Rear Inner 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 Inside Wheel Lock

Go Angle of Inside Wheel Lock Satisfying Correct Steering Condition

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

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}})

Other formulas in Steering Parameters category

Go Angle of Outside Wheel Lock Satisfying Correct Steering Condition

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

Go Motion Ratio or Installation Ratio in Suspension

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

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}})

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}})

How to Evaluate Angle of Inside Lock given Turning Radius of Inner Rear Wheel?

Angle of Inside Lock given Turning Radius of Inner Rear Wheel evaluator uses Angle of Inside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Rear Inner Wheel+(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)) to evaluate the Angle of Inside Wheel Lock, Angle of Inside Lock given Turning Radius of Inner Rear Wheel formula is defined as the angle at which the vehicle's inner rear wheel turns when navigating a curve, influenced by the turning radius and the distance between the wheel's center and the vehicle's center of gravity. Angle of Inside Wheel Lock is denoted by θ_in symbol.

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

FAQs on Angle of Inside Lock given Turning Radius of Inner Rear Wheel

What is the formula to find Angle of Inside Lock given Turning Radius of Inner Rear Wheel?

The formula of Angle of Inside Lock given Turning Radius of Inner Rear Wheel is expressed as Angle of Inside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Rear Inner Wheel+(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2)). Here is an example- 0.750646 = atan(2.7/(1.96+(1.999-0.13)/2)).

How to calculate Angle of Inside Lock given Turning Radius of Inner Rear Wheel?

With Wheelbase of Vehicle (L), Turning Radius of Rear Inner Wheel (R_IR), Track Width of Vehicle (a_tw) & Distance between Front Wheel Pivot Center (c) we can find Angle of Inside Lock given Turning Radius of Inner Rear Wheel using the formula - Angle of Inside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Rear Inner 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 Inside Wheel Lock?

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

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

Can the Angle of Inside Lock given Turning Radius of Inner Rear Wheel be negative?

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

Which unit is used to measure Angle of Inside Lock given Turning Radius of Inner Rear Wheel?

Angle of Inside Lock given Turning Radius of Inner 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 Inside Lock given Turning Radius of Inner Rear Wheel can be measured.

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

​GoAngle of Inside Wheel Lock Satisfying Correct Steering Condition Formula

​GoAngle of Inside Lock given Turning Radius of Inner Front Wheel Formula

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

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

Angle of Inside Lock given Turning Radius of Inner Rear Wheel Formula Elements

Other Formulas to find Angle of Inside Wheel Lock

Other formulas in Steering Parameters category

How to Evaluate Angle of Inside Lock given Turning Radius of Inner Rear Wheel?

FAQs on Angle of Inside Lock given Turning Radius of Inner Rear Wheel

Variable Name

GoAngle of Inside Wheel Lock Satisfying Correct Steering Condition Formula

GoAngle of Inside Lock given Turning Radius of Inner Front Wheel Formula