Angle of Inside Wheel Lock Satisfying Correct Steering Condition Calculator

✖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 Wheel Lock [θ_out]			+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%
✖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%

✖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.ⓘ Angle of Inside Wheel Lock Satisfying Correct Steering Condition [θ_in]

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Formula

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Angle of Inside Wheel Lock Satisfying Correct Steering Condition

Formula

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

Example

0.75 rad = a \cot (\cot (0.728157 rad) - \frac{130 mm}{2700 mm})

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Angle of Inside Wheel Lock Satisfying Correct Steering Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inside Wheel Lock = acot(cot(Angle of Outside Wheel Lock)-Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)
θ_in = acot(cot(θ_out)-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 Inside Wheel Lock - (Measured in Radian) - 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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle of Outside Wheel Lock: 0.728157 Radian --> 0.728157 Radian No Conversion Required
Distance between Front Wheel Pivot Center: 130 Millimeter --> 0.13 Meter (Check conversion here)
Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_in = acot(cot(θ_out)-c/L) --> acot(cot(0.728157)-0.13/2.7)

Evaluating ... ...

θ_in = 0.75000005193406

STEP 3: Convert Result to Output's Unit

0.75000005193406 Radian --> No Conversion Required

FINAL ANSWER

0.75000005193406 ≈ 0.75 Radian <-- Angle of Inside Wheel Lock

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Steering System » Mechanical » Steering Parameters » Angle of Inside Wheel Lock Satisfying Correct Steering Condition

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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

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< Steering Parameters Calculators

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 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)

Motion Ratio or Installation Ratio in Suspension

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

Angle of Inside Wheel Lock Satisfying Correct Steering Condition Formula

Angle of Inside Wheel Lock = acot(cot(Angle of Outside Wheel Lock)-Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)
θ_in = acot(cot(θ_out)-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 Inside Wheel Lock Satisfying Correct Steering Condition?

Angle of Inside Wheel Lock Satisfying Correct Steering Condition calculator uses Angle of Inside Wheel Lock = acot(cot(Angle of Outside Wheel Lock)-Distance between Front Wheel Pivot Center/Wheelbase of Vehicle) to calculate the Angle of Inside Wheel Lock, Angle of Inside Wheel Lock Satisfying Correct Steering Condition formula is defined as a measure of the angle at which the inside wheel is locked while satisfying the correct steering condition, ensuring proper vehicle alignment and stability during turns, which is critical for safe and efficient vehicle operation. Angle of Inside Wheel Lock is denoted by θ_in symbol.

How to calculate Angle of Inside Wheel Lock Satisfying Correct Steering Condition using this online calculator? To use this online calculator for Angle of Inside Wheel Lock Satisfying Correct Steering Condition, enter Angle of Outside Wheel Lock (θ_out), Distance between Front Wheel Pivot Center (c) & Wheelbase of Vehicle (L) and hit the calculate button. Here is how the Angle of Inside Wheel Lock Satisfying Correct Steering Condition calculation can be explained with given input values -> 0.749835 = acot(cot(0.728157)-0.13/2.7).

FAQ

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

Angle of Inside Wheel Lock Satisfying Correct Steering Condition formula is defined as a measure of the angle at which the inside wheel is locked while satisfying the correct steering condition, ensuring proper vehicle alignment and stability during turns, which is critical for safe and efficient vehicle operation and is represented as θ_in = acot(cot(θ_out)-c/L) or 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 is the maximum angle at which the outside wheel can turn while steering a vehicle without any obstruction or interference, Distance between Front Wheel Pivot Center is the length between the pivot point of the front wheel and the center of the steering system & Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the vehicle's stability and steering performance.

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

Angle of Inside Wheel Lock Satisfying Correct Steering Condition formula is defined as a measure of the angle at which the inside wheel is locked while satisfying the correct steering condition, ensuring proper vehicle alignment and stability during turns, which is critical for safe and efficient vehicle operation is calculated using Angle of Inside Wheel Lock = acot(cot(Angle of Outside Wheel Lock)-Distance between Front Wheel Pivot Center/Wheelbase of Vehicle). To calculate Angle of Inside Wheel Lock Satisfying Correct Steering Condition, you need Angle of Outside Wheel Lock (θ_out), Distance between Front Wheel Pivot Center (c) & Wheelbase of Vehicle (L). With our tool, you need to enter the respective value for Angle of Outside 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 Inside Wheel Lock?

In this formula, Angle of Inside Wheel Lock uses Angle of Outside 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 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 Inside Wheel Lock = atan(Wheelbase of Vehicle/(Turning Radius of Rear Inner Wheel+(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2))

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