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

✖Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the vehicle's stability and steering performance.ⓘ Wheelbase of Vehicle [L]			+10% -10%
✖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.ⓘ Turning Radius of Outer Front Wheel [R_OF]			+10% -10%
✖Track Width of Vehicle is the distance between the centerlines of the left and right wheels of a vehicle's steering system.ⓘ Track Width of Vehicle [a_tw]			+10% -10%
✖Distance between Front Wheel Pivot Center is the length between the pivot point of the front wheel and the center of the steering system.ⓘ Distance between Front Wheel Pivot Center [c]			+10% -10%

✖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.ⓘ Angle of Outside Lock given Turning Radius of Outer Front Wheel [θ_out]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
θ_out = asin(L/(R_OF-(a_tw-c)/2))
This formula uses 2 Functions, 5 Variables

Functions Used

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., 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., asin(Number)

Variables Used

Angle of Outside Wheel Lock - (Measured in Radian) - 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.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the vehicle's stability and steering performance.
Turning Radius of Outer Front Wheel - (Measured in Meter) - 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.
Track Width of Vehicle - (Measured in Meter) - Track Width of Vehicle is the distance between the centerlines of the left and right wheels of a vehicle's steering system.
Distance between Front Wheel Pivot Center - (Measured in Meter) - Distance between Front Wheel Pivot Center is the length between the pivot point of the front wheel and the center of the steering system.

STEP 1: Convert Input(s) to Base Unit

Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Turning Radius of Outer Front Wheel: 4990 Millimeter --> 4.99 Meter (Check conversion here)
Track Width of Vehicle: 1999 Millimeter --> 1.999 Meter (Check conversion here)
Distance between Front Wheel Pivot Center: 130 Millimeter --> 0.13 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_out = asin(L/(R_OF-(a_tw-c)/2)) --> asin(2.7/(4.99-(1.999-0.13)/2))

Evaluating ... ...

θ_out = 0.728515306324339

STEP 3: Convert Result to Output's Unit

0.728515306324339 Radian --> No Conversion Required

FINAL ANSWER

0.728515306324339 ≈ 0.728515 Radian <-- Angle of Outside Wheel Lock

(Calculation completed in 00.035 seconds)

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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< Steering Parameters Calculators

Angle of Inside Lock given Turning Radius of Inner Front Wheel

LaTeX Go 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))

Angle of Outside Wheel Lock Satisfying Correct Steering Condition

LaTeX Go Angle of Outside Wheel Lock = acot(cot(Angle of Inside Wheel Lock)+Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)

Angle of Inside Wheel Lock Satisfying Correct Steering Condition

LaTeX Go Angle of Inside Wheel Lock = acot(cot(Angle of Outside Wheel Lock)-Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)

Motion Ratio or Installation Ratio in Suspension

LaTeX Go Motion Ratio in Suspension = Spring or Shock Travel/Wheel Travel

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

LaTeX Go

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))
θ_out = asin(L/(R_OF-(a_tw-c)/2))

What is Angle of outside wheel lock?

Angle of outside wheel lock is the angle through which outer wheel of vehicle steers while cornering.

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

Angle of Outside Lock given Turning Radius of Outer Front Wheel calculator 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 calculate 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 calculate Angle of Outside Lock given Turning Radius of Outer Front Wheel using this online calculator? To use this online calculator 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. Here is how the Angle of Outside Lock given Turning Radius of Outer Front Wheel calculation can be explained with given input values -> 0.728515 = asin(2.7/(4.99-(1.999-0.13)/2)).

FAQ

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

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 and is represented as θ_out = asin(L/(R_OF-(a_tw-c)/2)) or 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)). Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the vehicle's stability and steering performance, 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, Track Width of Vehicle is the distance between the centerlines of the left and right wheels of a vehicle's steering system & Distance between Front Wheel Pivot Center is the length between the pivot point of the front wheel and the center of the steering system.

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

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 is calculated using 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 calculate Angle of Outside Lock given Turning Radius of Outer Front Wheel, you need 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). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Turning Radius of Outer Front Wheel, Track Width of Vehicle & Distance between Front Wheel Pivot Center and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angle of Outside Wheel Lock?

In this formula, Angle of Outside Wheel Lock uses Wheelbase of Vehicle, Turning Radius of Outer Front Wheel, Track Width of Vehicle & Distance between Front Wheel Pivot Center. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))

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