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

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✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheelbase of Vehicle [L]			+10% -10%
✖Turning Radius of Outer Front Wheel while cornering is the radius of circle traced by outer front wheel while cornering.ⓘ Turning Radius of Outer Front Wheel [R_OF]			+10% -10%
✖Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).ⓘ Track Width of Vehicle [a_tw]			+10% -10%
✖Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.ⓘ Distance between Front Wheel Pivot Center [c]			+10% -10%

✖Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.ⓘ Angle of Outside Lock given Turning Radius of Outer Front Wheel [φ]

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Formula

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Angle of Outside Lock given Turning Radius of Outer Front Wheel

Formula

`"φ" = asin("L"/("R"_{"OF"}-("a"_{"tw"}-"c")/2))`

Example

`"41.74085°"=asin("2.7m"/("4.99m"-("1.999m"-"0.13m")/2))`

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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))
φ = 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 angle through which outer wheel of vehicle steers while cornering.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Turning Radius of Outer Front Wheel - (Measured in Meter) - Turning Radius of Outer Front Wheel while cornering is the radius of circle traced by outer front wheel while cornering.
Track Width of Vehicle - (Measured in Meter) - Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).
Distance between Front Wheel Pivot Center - (Measured in Meter) - Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.

STEP 1: Convert Input(s) to Base Unit

Wheelbase of Vehicle: 2.7 Meter --> 2.7 Meter No Conversion Required
Turning Radius of Outer Front Wheel: 4.99 Meter --> 4.99 Meter No Conversion Required
Track Width of Vehicle: 1.999 Meter --> 1.999 Meter No Conversion Required
Distance between Front Wheel Pivot Center: 0.13 Meter --> 0.13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

φ = 0.728515306324339

STEP 3: Convert Result to Output's Unit

0.728515306324339 Radian -->41.7408523630728 Degree (Check conversion here)

FINAL ANSWER

41.7408523630728 ≈ 41.74085 Degree <-- Angle of Outside Wheel Lock

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Moments, Loads, Angles acting on Steering system and Axles » Angles Acting on Steering System and Axles » Angle of Outside Lock given Turning Radius of Outer Front Wheel

Credits

Created by Vivek Gaikwad

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

Vivek Gaikwad has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 6 Angles Acting on Steering System and Axles Calculators

Angle of Outside Lock given Turning Radius of Outer Front Wheel

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))

Angle of Inside Lock given Turning Radius of Inner Front Wheel

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 Lock given Turning Radius of Outer Rear Wheel

Go 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))

Angle of Inside Lock given Turning Radius of Inner Rear Wheel

Go 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))

Angle of Outside Wheel Lock Satisfying Correct Steering Condition

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

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

Angle of Outside Lock given Turning Radius of Outer Front Wheel 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))
φ = 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, The Angle of Outside Lock given Turning Radius of Outer Front Wheel is the angle through which the outer wheel of the vehicle steers while cornering. Angle of Outside Wheel Lock is denoted by φ 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 -> 2308.329 = asin(2.7/(4.99-(1.999-0.13)/2)).

FAQ

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

The Angle of Outside Lock given Turning Radius of Outer Front Wheel is the angle through which the outer wheel of the vehicle steers while cornering and is represented as φ = 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 center distance between the front and the rear axle of the vehicle, Turning Radius of Outer Front Wheel while cornering is the radius of circle traced by outer front wheel while cornering, Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle) & Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering.

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

The Angle of Outside Lock given Turning Radius of Outer Front Wheel is the angle through which the outer wheel of the vehicle steers while cornering 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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