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)
αr = β-((b*r)/vt)
This formula uses 5 Variables
Variables Used
Slip Angle of Rear Wheel - (Measured in Radian) - Slip Angle of Rear Wheel is defined as the angle between the direction of heading of the tire and its direction of travel.
Vehicle Body Slip Angle - (Measured in Radian) - Vehicle Body Slip Angle is defined as the angle made by the vehicle body with the actual direction of its travel.
Distance of c.g from Rear Axle - (Measured in Meter) - Distance of c.g from Rear Axle is defined as the distance between center of gravity of vehicle from the rear axle.
Yaw Velocity - (Measured in Radian per Second) - Yaw Velocity is the angular velocity of this rotation, or rate of change of the heading angle when the vehicle is horizontal.
Total Velocity - (Measured in Meter per Second) - Total Velocity is defined as the sum of the forward and lateral velocity component of vehicle negotiating the turn.
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
αr = β-((b*r)/vt) --> 0.00593411945677961-((0.2*0.4363323129985)/60)
Evaluating ... ...
αr = 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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Ramaiah University of Applied Sciences (RUAS), bangalore
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11 Moments, Loads, Angles acting on Steering system and Axles Calculators

Self Aligning Moment or Torque on Wheels
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
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
Go Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle
Characteristic Speed for Understeer Vehicles
Go Characteristic Speed for Understeer Vehicles = sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/Understeer Gradient)
Critical Speed for Oversteer Vehicle
Go Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient))
Rear Slip Angle due to High Speed Cornering
Go Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity)
Load on Front Axle at High Speed Cornering
Go Load on Front Axle at High Speed Cornering = (Total Load of Vehicle*Distance of c.g from Rear Axle)/Wheelbase of Vehicle
Load on Rear Axle at High Speed Cornering
Go Load on Rear Axle at High Speed Cornering = (Total Load of Vehicle*Distance of c.g from Front Axle)/Wheelbase of Vehicle
Centripetal Acceleration during Cornering
Go Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn
Lateral Acceleration during Cornering of Car
Go Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity
Driveline Torque
Go Driveline Torque = Tractive Force*Radius of Tire

Rear Slip Angle due to High Speed Cornering Formula

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

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, The Rear slip angle due to high speed cornering formula is defined as the angle made by the wheel when it takes a turn at high speeds with respect to the actual direction of travel of the wheel. Slip Angle of Rear Wheel is denoted by αr 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 (vt) 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?
The Rear slip angle due to high speed cornering formula is defined as the angle made by the wheel when it takes a turn at high speeds with respect to the actual direction of travel of the wheel and is represented as αr = β-((b*r)/vt) 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 defined as the angle made by the vehicle body with the actual direction of its travel, Distance of c.g from Rear Axle is defined as the distance between center of gravity of vehicle from the rear axle, Yaw Velocity is the angular velocity of this rotation, or rate of change of the heading angle when the vehicle is horizontal & Total Velocity is defined as the sum of the forward and lateral velocity component of vehicle negotiating the turn.
How to calculate Rear Slip Angle due to High Speed Cornering?
The Rear slip angle due to high speed cornering formula is defined as the angle made by the wheel when it takes a turn at high speeds with respect to the actual direction of travel of the wheel 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 (vt). 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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