Angle of Inside Lock given Turning Radius of Inner Rear 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 Rear Inner Wheel is the radius of the circular path taken by the rear inner wheel when the vehicle is turning.ⓘ Turning Radius of Rear Inner Wheel [R_IR]			+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 Rear Wheel [θ_in]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
θ_in = atan(L/(R_IR+(a_tw-c)/2))
This formula uses 2 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(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 Rear Inner Wheel - (Measured in Meter) - Turning Radius of Rear Inner Wheel is the radius of the circular path taken by the rear inner wheel when the vehicle is turning.
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 Rear Inner Wheel: 1960 Millimeter --> 1.96 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 = atan(L/(R_IR+(a_tw-c)/2)) --> atan(2.7/(1.96+(1.999-0.13)/2))

Evaluating ... ...

θ_in = 0.750645872206354

STEP 3: Convert Result to Output's Unit

0.750645872206354 Radian --> No Conversion Required

FINAL ANSWER

0.750645872206354 ≈ 0.750646 Radian <-- Angle of Inside Wheel Lock

(Calculation completed in 00.020 seconds)

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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 Inside Lock given Turning Radius of Inner Rear Wheel Formula

LaTeX 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))
θ_in = atan(L/(R_IR+(a_tw-c)/2))

What is Angle of inside wheel lock?

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 Rear Wheel?

Angle of Inside Lock given Turning Radius of Inner Rear Wheel calculator uses 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)) to calculate the Angle of Inside Wheel Lock, Angle of Inside Lock given Turning Radius of Inner Rear Wheel formula is defined as the angle at which the vehicle's inner rear wheel turns when navigating a curve, influenced by the turning radius and the distance between the wheel's center and the vehicle's center of gravity. Angle of Inside Wheel Lock is denoted by θ_in symbol.

How to calculate Angle of Inside Lock given Turning Radius of Inner Rear Wheel using this online calculator? To use this online calculator for Angle of Inside Lock given Turning Radius of Inner Rear Wheel, enter Wheelbase of Vehicle (L), Turning Radius of Rear Inner Wheel (R_IR), 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 Rear Wheel calculation can be explained with given input values -> 0.750646 = atan(2.7/(1.96+(1.999-0.13)/2)).

FAQ

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

Angle of Inside Lock given Turning Radius of Inner Rear Wheel formula is defined as the angle at which the vehicle's inner rear wheel turns when navigating a curve, influenced by the turning radius and the distance between the wheel's center and the vehicle's center of gravity and is represented as θ_in = atan(L/(R_IR+(a_tw-c)/2)) or 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)). 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 Rear Inner Wheel is the radius of the circular path taken by the rear inner wheel when the vehicle is turning, 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 Rear Wheel?

Angle of Inside Lock given Turning Radius of Inner Rear Wheel formula is defined as the angle at which the vehicle's inner rear wheel turns when navigating a curve, influenced by the turning radius and the distance between the wheel's center and the vehicle's center of gravity is calculated using 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)). To calculate Angle of Inside Lock given Turning Radius of Inner Rear Wheel, you need Wheelbase of Vehicle (L), Turning Radius of Rear Inner Wheel (R_IR), 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 Rear Inner 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 Rear Inner 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 = asin(Wheelbase of Vehicle/(Turning Radius of Inner Front Wheel+(Track Width of Vehicle-Distance between Front Wheel Pivot Center)/2))

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