Ackermann Steering Angle at High Cornering Speed 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%
✖Radius of Turn is the distance from the center of rotation to the center of the vehicle's rear axle during a turn in a steering system.ⓘ Radius of Turn [R]			+10% -10%
✖Slip Angle of Front Wheel is the angle between the direction of the wheel and the direction of travel, affecting vehicle stability and handling.ⓘ Slip Angle of Front Wheel [α_fw]			+10% -10%
✖Slip Angle of Rear Wheel is the angle between the direction of the rear wheel and the direction of travel, affecting vehicle stability and handling.ⓘ Slip Angle of Rear Wheel [α_rw]			+10% -10%

✖Ackermann Steering Angle at High Cornering Speed is the angle of the steering system at high cornering speeds, affecting vehicle stability and handling performance.ⓘ Ackermann Steering Angle at High Cornering Speed [δ_H]

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Formula

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Ackermann Steering Angle at High Cornering Speed

Formula

δ H = 57.3 \cdot (\frac{L}{R}) + (α fw - α rw)

Example

29 rad = 57.3 \cdot (\frac{2700 mm}{10000 mm}) + (23.8 rad - 10.271 rad)

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Ackermann Steering Angle at High Cornering Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel)
δ_H = 57.3*(L/R)+(α_fw-α_rw)
This formula uses 5 Variables

Variables Used

Ackermann Steering Angle at High Cornering Speed - (Measured in Radian) - Ackermann Steering Angle at High Cornering Speed is the angle of the steering system at high cornering speeds, affecting vehicle stability and handling performance.
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.
Radius of Turn - (Measured in Meter) - Radius of Turn is the distance from the center of rotation to the center of the vehicle's rear axle during a turn in a steering system.
Slip Angle of Front Wheel - (Measured in Radian) - Slip Angle of Front Wheel is the angle between the direction of the wheel and the direction of travel, affecting vehicle stability and handling.
Slip Angle of Rear Wheel - (Measured in Radian) - Slip Angle of Rear Wheel is the angle between the direction of the rear wheel and the direction of travel, affecting vehicle stability and handling.

STEP 1: Convert Input(s) to Base Unit

Wheelbase of Vehicle: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Radius of Turn: 10000 Millimeter --> 10 Meter (Check conversion here)
Slip Angle of Front Wheel: 23.8 Radian --> 23.8 Radian No Conversion Required
Slip Angle of Rear Wheel: 10.271 Radian --> 10.271 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_H = 57.3*(L/R)+(α_fw-α_rw) --> 57.3*(2.7/10)+(23.8-10.271)

Evaluating ... ...

δ_H = 29

STEP 3: Convert Result to Output's Unit

29 Radian --> No Conversion Required

FINAL ANSWER

29 Radian <-- Ackermann Steering Angle at High Cornering Speed

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Steering System » Mechanical » Angles Related to Steering System » Ackermann Steering Angle at High Cornering Speed

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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Ackermann Steering Angle at High Cornering Speed

Go Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel)

Ackermann Steering Angle at Low Speed Cornering

Go Ackermann Steering Angle in Slow Speed Cornering = Wheelbase of Vehicle/Radius of Turn

Slip Angle at High Cornering Speed

Go Slip Angle at High Cornering Speed = Cornering Force/Cornering Stiffness

Ackermann Steering Angle at High Cornering Speed Formula

Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel)
δ_H = 57.3*(L/R)+(α_fw-α_rw)

What is steering angle at high cornering speed?

Steering angle means the angle between the projection of a longitudinal axis of the vehicle and the line of intersection of the wheel plane (being the central plane of the wheel, normal to the axis around which it rotates) and the road surface. At higher speeds, the lateral acceleration during cornering increases and it cannot be neglected. This gives rise to slip angles at the wheels and the tires produce lateral forces in order to counteract the lateral acceleration.

How to Calculate Ackermann Steering Angle at High Cornering Speed?

Ackermann Steering Angle at High Cornering Speed calculator uses Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel) to calculate the Ackermann Steering Angle at High Cornering Speed, Ackermann Steering Angle at High Cornering Speed formula is defined as a calculation that determines the ideal steering angle of a vehicle's wheels at high cornering speeds, taking into account the vehicle's wheelbase, track width, and other factors to ensure stable and efficient cornering. Ackermann Steering Angle at High Cornering Speed is denoted by δ_H symbol.

How to calculate Ackermann Steering Angle at High Cornering Speed using this online calculator? To use this online calculator for Ackermann Steering Angle at High Cornering Speed, enter Wheelbase of Vehicle (L), Radius of Turn (R), Slip Angle of Front Wheel (α_fw) & Slip Angle of Rear Wheel (α_rw) and hit the calculate button. Here is how the Ackermann Steering Angle at High Cornering Speed calculation can be explained with given input values -> 29 = 57.3*(2.7/10)+(23.8-10.271).

FAQ

What is Ackermann Steering Angle at High Cornering Speed?

Ackermann Steering Angle at High Cornering Speed formula is defined as a calculation that determines the ideal steering angle of a vehicle's wheels at high cornering speeds, taking into account the vehicle's wheelbase, track width, and other factors to ensure stable and efficient cornering and is represented as δ_H = 57.3*(L/R)+(α_fw-α_rw) or Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel). Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the vehicle's stability and steering performance, Radius of Turn is the distance from the center of rotation to the center of the vehicle's rear axle during a turn in a steering system, Slip Angle of Front Wheel is the angle between the direction of the wheel and the direction of travel, affecting vehicle stability and handling & Slip Angle of Rear Wheel is the angle between the direction of the rear wheel and the direction of travel, affecting vehicle stability and handling.

How to calculate Ackermann Steering Angle at High Cornering Speed?

Ackermann Steering Angle at High Cornering Speed formula is defined as a calculation that determines the ideal steering angle of a vehicle's wheels at high cornering speeds, taking into account the vehicle's wheelbase, track width, and other factors to ensure stable and efficient cornering is calculated using Ackermann Steering Angle at High Cornering Speed = 57.3*(Wheelbase of Vehicle/Radius of Turn)+(Slip Angle of Front Wheel-Slip Angle of Rear Wheel). To calculate Ackermann Steering Angle at High Cornering Speed, you need Wheelbase of Vehicle (L), Radius of Turn (R), Slip Angle of Front Wheel (α_fw) & Slip Angle of Rear Wheel (α_rw). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Radius of Turn, Slip Angle of Front Wheel & Slip Angle of Rear Wheel 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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