Angle of Outside Wheel Lock Satisfying Correct Steering Condition Calculator

↳

⤿

Front Axle and Steering

Driveline

Race Car Vehicle Dynamics

Suspension Geometry

Vehicle Collision

⤿

Moments, Loads, Angles acting on Steering system and Axles

Movement Ratio

Pivot Centre, Wheel Base and Track

Steering System

Turning Radius

⤿

Angles Acting on Steering System and Axles

Moments Acting on Steering System and Axles

✖Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.ⓘ Angle of Inside Wheel Lock [θ]			+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%
✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheelbase of Vehicle [L]			+10% -10%

✖Angle of Outside Wheel Lock is the angle through which outer wheel of vehicle steers while cornering.ⓘ Angle of Outside Wheel Lock Satisfying Correct Steering Condition [φ]

⎘ Copy

👎

Formula

✖

Angle of Outside Wheel Lock Satisfying Correct Steering Condition

Formula

`"φ" = acot(cot("θ")+"c"/"L")`

Example

`"41.74717°"=acot(cot("43°")+"0.13m"/"2.7m")`

Calculator

LaTeX

Reset

👍

Download Moments, Loads, Angles acting on Steering system and Axles Formulas PDF

Angle of Outside Wheel Lock Satisfying Correct Steering Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Outside Wheel Lock = acot(cot(Angle of Inside Wheel Lock)+Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)
φ = acot(cot(θ)+c/L)
This formula uses 2 Functions, 4 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
acot - The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi., acot(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.
Angle of Inside Wheel Lock - (Measured in Radian) - Angle of Inside Wheel Lock is the angle through which inner wheel of vehicle steers while cornering.
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.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.

STEP 1: Convert Input(s) to Base Unit

Angle of Inside Wheel Lock: 43 Degree --> 0.750491578357421 Radian (Check conversion here)
Distance between Front Wheel Pivot Center: 0.13 Meter --> 0.13 Meter No Conversion Required
Wheelbase of Vehicle: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = acot(cot(θ)+c/L) --> acot(cot(0.750491578357421)+0.13/2.7)

Evaluating ... ...

φ = 0.728625518911753

STEP 3: Convert Result to Output's Unit

0.728625518911753 Radian -->41.7471670791808 Degree (Check conversion here)

FINAL ANSWER

41.7471670791808 ≈ 41.74717 Degree <-- Angle of Outside Wheel Lock

(Calculation completed in 00.004 seconds)

You are here -

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 Wheel Lock Satisfying Correct Steering Condition

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 Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

Aditya Prakash Gautam has verified this Calculator and 7 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 Wheel Lock Satisfying Correct Steering Condition Formula

Angle of Outside Wheel Lock = acot(cot(Angle of Inside Wheel Lock)+Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)
φ = acot(cot(θ)+c/L)

What is correct steering angle in vehicle?

Correct steer angles of front wheels are the corresponding steer angles at which perfect steering of all four wheels is achieved while cornering.

What is perfect steering condition?

The perfect steering is achieved when all the four wheels are rolling perfectly under all conditions of running.
While taking turns the condition of perfect roll is satisfied if the axis of the front wheels when produced meet the rear wheel axis at one point. Then this point is the instantaneous center of the vehicle. It is seen that the inside wheel is required to turn through a greater angle than that of the outside wheel. The larger the steering angle the smaller is the turning radius of vehicle.
There is, however, a maximum to which we can go as regards the steering angle of wheels. It has been found that steering angle of the inner wheel can have a maximum value of about 44 degree. Extreme positions on either side are called lock positions. The diameter at their extreme positions is known as turning circle.
For example, in case of Hindustan ambassador car, turning circle radius on right hand lock is 10.83 while on left hand lock it is 10.74 meter.

How to Calculate Angle of Outside Wheel Lock Satisfying Correct Steering Condition?

Angle of Outside Wheel Lock Satisfying Correct Steering Condition calculator uses Angle of Outside Wheel Lock = acot(cot(Angle of Inside Wheel Lock)+Distance between Front Wheel Pivot Center/Wheelbase of Vehicle) to calculate the Angle of Outside Wheel Lock, Angle of outside wheel lock satisfying correct steering condition is the angle through which front outside wheel must be steered in order to satisfy correct steering condition. Angle of Outside Wheel Lock is denoted by φ symbol.

How to calculate Angle of Outside Wheel Lock Satisfying Correct Steering Condition using this online calculator? To use this online calculator for Angle of Outside Wheel Lock Satisfying Correct Steering Condition, enter Angle of Inside Wheel Lock (θ), Distance between Front Wheel Pivot Center (c) & Wheelbase of Vehicle (L) and hit the calculate button. Here is how the Angle of Outside Wheel Lock Satisfying Correct Steering Condition calculation can be explained with given input values -> 2391.936 = acot(cot(0.750491578357421)+0.13/2.7).

FAQ

What is Angle of Outside Wheel Lock Satisfying Correct Steering Condition?

Angle of outside wheel lock satisfying correct steering condition is the angle through which front outside wheel must be steered in order to satisfy correct steering condition and is represented as φ = acot(cot(θ)+c/L) or 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 is the angle through which inner wheel of vehicle steers while cornering, Distance between Front Wheel Pivot Center is the distance between those points about which both front wheels pivot while cornering & Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.

How to calculate Angle of Outside Wheel Lock Satisfying Correct Steering Condition?

Angle of outside wheel lock satisfying correct steering condition is the angle through which front outside wheel must be steered in order to satisfy correct steering condition is calculated using Angle of Outside Wheel Lock = acot(cot(Angle of Inside Wheel Lock)+Distance between Front Wheel Pivot Center/Wheelbase of Vehicle). To calculate Angle of Outside Wheel Lock Satisfying Correct Steering Condition, you need Angle of Inside Wheel Lock (θ), Distance between Front Wheel Pivot Center (c) & Wheelbase of Vehicle (L). With our tool, you need to enter the respective value for Angle of Inside Wheel Lock, Distance between Front Wheel Pivot Center & Wheelbase of Vehicle 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 Angle of Inside Wheel Lock, Distance between Front Wheel Pivot Center & Wheelbase of Vehicle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 Outside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Outer Rear Wheel-(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2))

Home

FREE PDFs

🔍 Search