Rear Slip Angle due to High Speed Cornering Calculator

✖Vehicle Body Slip Angle is the angle between the direction of the vehicle's body and its direction of motion, affecting steering system and axle performance.ⓘ Vehicle Body Slip Angle [β]			+10% -10%
✖Distance of c.g from Rear Axle is the distance from the centre of gravity of the vehicle to the rear axle, affecting the forces on the steering system.ⓘ Distance of c.g from Rear Axle [b]			+10% -10%
✖Yaw Velocity is the rotational speed of the axles around their vertical axis, influencing the steering system's performance and overall vehicle stability.ⓘ Yaw Velocity [r]			+10% -10%
✖Total Velocity is the overall speed of a vehicle's axles, considering the rotational speed of wheels and the linear velocity of the vehicle's movement.ⓘ Total Velocity [v_t]			+10% -10%

✖Slip Angle of Rear Wheel is the angle between the direction of the rear wheel and the direction of travel of the vehicle.ⓘ Rear Slip Angle due to High Speed Cornering [α_r]

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Rear Slip Angle due to High Speed Cornering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity)
α_r = β-((b*r)/v_t)
This formula uses 5 Variables

Variables Used

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 of the vehicle.
Vehicle Body Slip Angle - (Measured in Radian) - Vehicle Body Slip Angle is the angle between the direction of the vehicle's body and its direction of motion, affecting steering system and axle performance.
Distance of c.g from Rear Axle - (Measured in Meter) - Distance of c.g from Rear Axle is the distance from the centre of gravity of the vehicle to the rear axle, affecting the forces on the steering system.
Yaw Velocity - (Measured in Radian per Second) - Yaw Velocity is the rotational speed of the axles around their vertical axis, influencing the steering system's performance and overall vehicle stability.
Total Velocity - (Measured in Meter per Second) - Total Velocity is the overall speed of a vehicle's axles, considering the rotational speed of wheels and the linear velocity of the vehicle's movement.

STEP 1: Convert Input(s) to Base Unit

Vehicle Body Slip Angle: 0.34 Degree --> 0.00593411945677961 Radian (Check conversion here)
Distance of c.g from Rear Axle: 0.2 Meter --> 0.2 Meter No Conversion Required
Yaw Velocity: 25 Degree per Second --> 0.4363323129985 Radian per Second (Check conversion here)
Total Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_r = β-((b*r)/v_t) --> 0.00593411945677961-((0.2*0.4363323129985)/60)

Evaluating ... ...

α_r = 0.00447967841345128

STEP 3: Convert Result to Output's Unit

0.00447967841345128 Radian -->0.256666666666667 Degree (Check conversion here)

FINAL ANSWER

0.256666666666667 ≈ 0.256667 Degree <-- Slip Angle of Rear Wheel

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Mechanical » Forces on Steering System and Axles » Rear Slip Angle due to High Speed Cornering

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

Syed Adnan has created this Calculator and 200+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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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)

Rear Slip Angle due to High Speed Cornering Formula

LaTeX Go

Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity)
α_r = β-((b*r)/v_t)

What is rear slip angle at high cornering speed?

Assuming grip is maintained, the body of vehicle will tend to follow the direction the steered tyres are pointing in but momentum of the vehicle will mean that there will always be a level of tyre slip, however minimal this may be. The
tyre will deform slightly as it makes contact with the road and this deformation may also need to be considered

How to Calculate Rear Slip Angle due to High Speed Cornering?

Rear Slip Angle due to High Speed Cornering calculator uses Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity) to calculate the Slip Angle of Rear Wheel, Rear Slip Angle due to High Speed Cornering formula is defined as a measure of the angle between the direction of the vehicle's velocity and the direction of its wheels during high-speed cornering, which affects the vehicle's stability and handling. Slip Angle of Rear Wheel is denoted by α_r symbol.

How to calculate Rear Slip Angle due to High Speed Cornering using this online calculator? To use this online calculator for Rear Slip Angle due to High Speed Cornering, enter Vehicle Body Slip Angle (β), Distance of c.g from Rear Axle (b), Yaw Velocity (r) & Total Velocity (v_t) and hit the calculate button. Here is how the Rear Slip Angle due to High Speed Cornering calculation can be explained with given input values -> -16.329297 = 0.00593411945677961-((0.2*0.4363323129985)/60).

FAQ

What is Rear Slip Angle due to High Speed Cornering?

Rear Slip Angle due to High Speed Cornering formula is defined as a measure of the angle between the direction of the vehicle's velocity and the direction of its wheels during high-speed cornering, which affects the vehicle's stability and handling and is represented as α_r = β-((b*r)/v_t) or Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity). Vehicle Body Slip Angle is the angle between the direction of the vehicle's body and its direction of motion, affecting steering system and axle performance, Distance of c.g from Rear Axle is the distance from the centre of gravity of the vehicle to the rear axle, affecting the forces on the steering system, Yaw Velocity is the rotational speed of the axles around their vertical axis, influencing the steering system's performance and overall vehicle stability & Total Velocity is the overall speed of a vehicle's axles, considering the rotational speed of wheels and the linear velocity of the vehicle's movement.

How to calculate Rear Slip Angle due to High Speed Cornering?

Rear Slip Angle due to High Speed Cornering formula is defined as a measure of the angle between the direction of the vehicle's velocity and the direction of its wheels during high-speed cornering, which affects the vehicle's stability and handling is calculated using Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity). To calculate Rear Slip Angle due to High Speed Cornering, you need Vehicle Body Slip Angle (β), Distance of c.g from Rear Axle (b), Yaw Velocity (r) & Total Velocity (v_t). With our tool, you need to enter the respective value for Vehicle Body Slip Angle, Distance of c.g from Rear Axle, Yaw Velocity & Total Velocity 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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