Track Width of Vehicle using Ackermann Condition Calculator

✖Steering Angle Outer Wheel is the angle at which the outer wheel of a vehicle is turned in response to steering input, affecting axle movement and vehicle direction.ⓘ Steering Angle Outer Wheel [δ_o]			+10% -10%
✖Steering Angle Inner Wheel is the angle at which the inner wheel of a vehicle is turned in response to the driver's steering input.ⓘ Steering Angle Inner Wheel [δ_i]			+10% -10%
✖Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle.ⓘ Wheelbase of Vehicle [L]			+10% -10%

✖Track Width of Vehicle is the distance between the centerlines of the left and right wheels of a vehicle's axles, affecting its stability and steering.ⓘ Track Width of Vehicle using Ackermann Condition [a_tw]

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Track Width of Vehicle using Ackermann Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle
a_tw = (cot(δ_o)-cot(δ_i))*L
This formula uses 1 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)

Variables Used

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 axles, affecting its stability and steering.
Steering Angle Outer Wheel - (Measured in Radian) - Steering Angle Outer Wheel is the angle at which the outer wheel of a vehicle is turned in response to steering input, affecting axle movement and vehicle direction.
Steering Angle Inner Wheel - (Measured in Radian) - Steering Angle Inner Wheel is the angle at which the inner wheel of a vehicle is turned in response to the driver's steering input.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle.

STEP 1: Convert Input(s) to Base Unit

Steering Angle Outer Wheel: 16 Degree --> 0.27925268031904 Radian (Check conversion here)
Steering Angle Inner Wheel: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Wheelbase of Vehicle: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_tw = (cot(δ_o)-cot(δ_i))*L --> (cot(0.27925268031904)-cot(0.3490658503988))*2.7

Evaluating ... ...

a_tw = 1.99782996584333

STEP 3: Convert Result to Output's Unit

1.99782996584333 Meter --> No Conversion Required

FINAL ANSWER

1.99782996584333 ≈ 1.99783 Meter <-- Track Width of Vehicle

(Calculation completed in 00.004 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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< Forces on Steering System and Axles Calculators

Self Aligning Moment or Torque on Wheels

LaTeX Go Self Aligning Moment = (Aligning Moment Acting on Left Tires+Aligning Moment on Right Tires)*cos(Lateral Inclination Angle)*cos(Caster Angle)

Front Slip Angle at High Cornering Speed

LaTeX Go Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle)

Track Width of Vehicle using Ackermann Condition

LaTeX Go Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle

Rear Slip Angle due to High Speed Cornering

LaTeX Go Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity)

Track Width of Vehicle using Ackermann Condition Formula

LaTeX Go

Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle
a_tw = (cot(δ_o)-cot(δ_i))*L

What is ackermann steering condition?

Ackermann steering condition ensures both front wheels turn at different angles during a turn. The inside wheel turns at a sharper angle than the outside wheel, allowing both tires to follow a circular path around a common center point. This prevents tire slip and maintains vehicle stability during cornering.

How to Calculate Track Width of Vehicle using Ackermann Condition?

Track Width of Vehicle using Ackermann Condition calculator uses Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle to calculate the Track Width of Vehicle, Track Width of Vehicle using Ackermann Condition formula is defined as the distance between the center of the left and right wheels of a vehicle, which is a critical parameter in vehicle dynamics and stability, particularly during cornering and steering maneuvers. Track Width of Vehicle is denoted by a_tw symbol.

How to calculate Track Width of Vehicle using Ackermann Condition using this online calculator? To use this online calculator for Track Width of Vehicle using Ackermann Condition, enter Steering Angle Outer Wheel (δ_o), Steering Angle Inner Wheel (δ_i) & Wheelbase of Vehicle (L) and hit the calculate button. Here is how the Track Width of Vehicle using Ackermann Condition calculation can be explained with given input values -> 1.99783 = (cot(0.27925268031904)-cot(0.3490658503988))*2.7.

FAQ

What is Track Width of Vehicle using Ackermann Condition?

Track Width of Vehicle using Ackermann Condition formula is defined as the distance between the center of the left and right wheels of a vehicle, which is a critical parameter in vehicle dynamics and stability, particularly during cornering and steering maneuvers and is represented as a_tw = (cot(δ_o)-cot(δ_i))*L or Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle. Steering Angle Outer Wheel is the angle at which the outer wheel of a vehicle is turned in response to steering input, affecting axle movement and vehicle direction, Steering Angle Inner Wheel is the angle at which the inner wheel of a vehicle is turned in response to the driver's steering input & Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle.

How to calculate Track Width of Vehicle using Ackermann Condition?

Track Width of Vehicle using Ackermann Condition formula is defined as the distance between the center of the left and right wheels of a vehicle, which is a critical parameter in vehicle dynamics and stability, particularly during cornering and steering maneuvers is calculated using Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle. To calculate Track Width of Vehicle using Ackermann Condition, you need Steering Angle Outer Wheel (δ_o), Steering Angle Inner Wheel (δ_i) & Wheelbase of Vehicle (L). With our tool, you need to enter the respective value for Steering Angle Outer Wheel, Steering Angle Inner Wheel & Wheelbase of Vehicle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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