Front Slip Angle at High Cornering Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle)
αf = β+(((a*r)/vt)-δ)
This formula uses 6 Variables
Variables Used
Slip Angle of Front Wheel - (Measured in Radian) - Slip angle of front wheel is defined as the angle between the direction of heading of the front 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 Front Axle - (Measured in Meter) - Distance of c.g from Front Axle is defined as the distance of center of gravity of vehicle from the front 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.
Steer Angle - (Measured in Radian) - Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.
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 Front Axle: 1.8 Meter --> 1.8 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
Steer Angle: 0.32 Degree --> 0.0055850536063808 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αf = β+(((a*r)/vt)-δ) --> 0.00593411945677961+(((1.8*0.4363323129985)/60)-0.0055850536063808)
Evaluating ... ...
αf = 0.0134390352403538
STEP 3: Convert Result to Output's Unit
0.0134390352403538 Radian -->0.77 Degree (Check conversion here)
FINAL ANSWER
0.77 Degree <-- Slip Angle of Front Wheel
(Calculation completed in 00.020 seconds)

Credits

Created by Syed Adnan
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)
Critical Speed for Oversteer Vehicle
Go Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient))
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)
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

Front Slip Angle at High Cornering Speed Formula

Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle)
αf = β+(((a*r)/vt)-δ)

Why does front slip angle occur?

The front slip angle is a resultant of the body slip angle, yaw velocity ‘r’, and the steering angle. During slow speed cornering, a neutral steer car will require the same steering angle equal to the Ackermann steering angle. An understeer vehicle will require more steering angle than the Ackermann steering angle and an oversteer vehicle will require less steering angle than the Ackermann.

How to Calculate Front Slip Angle at High Cornering Speed?

Front Slip Angle at High Cornering Speed calculator uses Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle) to calculate the Slip Angle of Front Wheel, The Front slip angle at high cornering speed formula is defined as the slip angle made by the front wheel with the vertical when it negotiates a turn. Slip Angle of Front Wheel is denoted by αf symbol.

How to calculate Front Slip Angle at High Cornering Speed using this online calculator? To use this online calculator for Front Slip Angle at High Cornering Speed, enter Vehicle Body Slip Angle (β), Distance of c.g from Front Axle (a), Yaw Velocity (r), Total Velocity (vt) & Steer Angle (δ) and hit the calculate button. Here is how the Front Slip Angle at High Cornering Speed calculation can be explained with given input values -> 44.11775 = 0.00593411945677961+(((1.8*0.4363323129985)/60)-0.0055850536063808).

FAQ

What is Front Slip Angle at High Cornering Speed?
The Front slip angle at high cornering speed formula is defined as the slip angle made by the front wheel with the vertical when it negotiates a turn and is represented as αf = β+(((a*r)/vt)-δ) or Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle). 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 Front Axle is defined as the distance of center of gravity of vehicle from the front 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 & Steer Angle is the angle made by the wheel with respect to the vertical when steering is rotated.
How to calculate Front Slip Angle at High Cornering Speed?
The Front slip angle at high cornering speed formula is defined as the slip angle made by the front wheel with the vertical when it negotiates a turn is calculated using Slip Angle of Front Wheel = Vehicle Body Slip Angle+(((Distance of c.g from Front Axle*Yaw Velocity)/Total Velocity)-Steer Angle). To calculate Front Slip Angle at High Cornering Speed, you need Vehicle Body Slip Angle (β), Distance of c.g from Front Axle (a), Yaw Velocity (r), Total Velocity (vt) & Steer Angle (δ). With our tool, you need to enter the respective value for Vehicle Body Slip Angle, Distance of c.g from Front Axle, Yaw Velocity, Total Velocity & Steer Angle 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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