Angle of Inside Lock given Turning Radius of Inner 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 Inner Front Wheel is the radius of the circular path taken by the inner front wheel during cornering or steering of a vehicle.ⓘ Turning Radius of Inner Front Wheel [R_IF]			+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 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 Lock given Turning Radius of Inner Front Wheel [θ_in]

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Formula

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Angle of Inside Lock given Turning Radius of Inner Front Wheel

Formula

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

Example

0.756303 rad = a \sin (\frac{2700 mm}{3000 mm + \frac{1999 mm - 130 mm}{2}})

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
θ_in = asin(L/(R_IF+(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 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.
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 Inner Front Wheel - (Measured in Meter) - Turning Radius of Inner Front Wheel is the radius of the circular path taken by the inner front wheel during cornering or steering of a vehicle.
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 Inner Front Wheel: 3000 Millimeter --> 3 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_in = asin(L/(R_IF+(a_tw-c)/2)) --> asin(2.7/(3+(1.999-0.13)/2))

Evaluating ... ...

θ_in = 0.756303149287734

STEP 3: Convert Result to Output's Unit

0.756303149287734 Radian --> No Conversion Required

FINAL ANSWER

0.756303149287734 ≈ 0.756303 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 Lock given Turning Radius of Inner Front Wheel

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Created by Vivek Gaikwad

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

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National Institute Of Technology (NIT), Hamirpur

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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 Lock given Turning Radius of Inner Front Wheel Formula

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))
θ_in = asin(L/(R_IF+(a_tw-c)/2))

What is Angle of inside wheel lock of car?

Angle of inside wheel lock is the angle through which inner wheel of vehicle steers while cornering.

How to Calculate Angle of Inside Lock given Turning Radius of Inner Front Wheel?

Angle of Inside Lock given Turning Radius of Inner Front Wheel calculator uses 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)) to calculate the Angle of Inside Wheel Lock, Angle of Inside Lock given Turning Radius of Inner Front Wheel formula is defined as a measure of the angle formed by the inner front wheel when a vehicle is turning, which is influenced by the turning radius of the inner front wheel and other vehicle dimensions. Angle of Inside Wheel Lock is denoted by θ_in symbol.

How to calculate Angle of Inside Lock given Turning Radius of Inner Front Wheel using this online calculator? To use this online calculator for Angle of Inside Lock given Turning Radius of Inner Front Wheel, enter Wheelbase of Vehicle (L), Turning Radius of Inner Front Wheel (R_IF), Track Width of Vehicle (a_tw) & Distance between Front Wheel Pivot Center (c) and hit the calculate button. Here is how the Angle of Inside Lock given Turning Radius of Inner Front Wheel calculation can be explained with given input values -> 0.756303 = asin(2.7/(3+(1.999-0.13)/2)).

FAQ

What is Angle of Inside Lock given Turning Radius of Inner Front Wheel?

Angle of Inside Lock given Turning Radius of Inner Front Wheel formula is defined as a measure of the angle formed by the inner front wheel when a vehicle is turning, which is influenced by the turning radius of the inner front wheel and other vehicle dimensions and is represented as θ_in = asin(L/(R_IF+(a_tw-c)/2)) or 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)). 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 Inner Front Wheel is the radius of the circular path taken by the inner front wheel during cornering or steering of a vehicle, 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 Inside Lock given Turning Radius of Inner Front Wheel?

Angle of Inside Lock given Turning Radius of Inner Front Wheel formula is defined as a measure of the angle formed by the inner front wheel when a vehicle is turning, which is influenced by the turning radius of the inner front wheel and other vehicle dimensions is calculated using 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)). To calculate Angle of Inside Lock given Turning Radius of Inner Front Wheel, you need Wheelbase of Vehicle (L), Turning Radius of Inner Front Wheel (R_IF), 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 Inner 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 Inside Wheel Lock?

In this formula, Angle of Inside Wheel Lock uses Wheelbase of Vehicle, Turning Radius of Inner 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 Inside Wheel Lock = acot(cot(Angle of Outside Wheel Lock)-Distance between Front Wheel Pivot Center/Wheelbase of Vehicle)
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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