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 = atan(L/(RIR+(atw-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 through which inner 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 Rear Inner Wheel - (Measured in Meter) - Turning Radius of Rear Inner Wheel while cornering is the radius of circle traced by inner rear 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 Rear Inner Wheel: 1.96 Meter --> 1.96 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
θ = atan(L/(RIR+(atw-c)/2)) --> atan(2.7/(1.96+(1.999-0.13)/2))
Evaluating ... ...
θ = 0.750645872206354
STEP 3: Convert Result to Output's Unit
0.750645872206354 Radian -->43.0088403863487 Degree (Check conversion here)
FINAL ANSWER
43.0088403863487 43.00884 Degree <-- Angle of Inside Wheel Lock
(Calculation completed in 00.004 seconds)

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
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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 Inside Lock given Turning Radius of Inner Rear Wheel Formula

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 = atan(L/(RIR+(atw-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, The Angle of Inside Lock given Turning Radius of Inner Rear Wheel is the angle through which the inner wheel of the vehicle steers while cornering. Angle of Inside Wheel Lock is denoted by θ 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 (RIR), Track Width of Vehicle (atw) & 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 -> 2013.984 = atan(2.7/(1.96+(1.999-0.13)/2)).

FAQ

What is Angle of Inside Lock given Turning Radius of Inner Rear Wheel?
The Angle of Inside Lock given Turning Radius of Inner Rear Wheel is the angle through which the inner wheel of the vehicle steers while cornering and is represented as θ = atan(L/(RIR+(atw-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 center distance between the front and the rear axle of the vehicle, Turning Radius of Rear Inner Wheel while cornering is the radius of circle traced by inner rear 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 Inside Lock given Turning Radius of Inner Rear Wheel?
The Angle of Inside Lock given Turning Radius of Inner Rear Wheel is the angle through which the inner wheel of the vehicle steers while cornering 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 (RIR), Track Width of Vehicle (atw) & 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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