Vehicle Body Slip Angle at High Cornering Speed Calculator

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Front Axle and Steering

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Steering System

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Angles Related to Steering System

✖Lateral Velocity Component is defined as the lateral velocity component of the vehicle when its taking a turn at higher speeds.ⓘ Lateral Velocity Component [v]			+10% -10%
✖Total Velocity is defined as the sum of the forward and lateral velocity component of vehicle negotiating the turn.ⓘ Total Velocity [v_t]			+10% -10%

✖Vehicle Body Slip Angle is defined as the angle made by the vehicle body with the actual direction of its travel.ⓘ Vehicle Body Slip Angle at High Cornering Speed [β]

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Formula

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Vehicle Body Slip Angle at High Cornering Speed

Formula

`"β" = "v"/"v"_{"t"}`

Example

`"0.866667rad"="52m/s"/"60m/s"`

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Vehicle Body Slip Angle at High Cornering Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity
β = v/v_t
This formula uses 3 Variables

Variables Used

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.
Lateral Velocity Component - (Measured in Meter per Second) - Lateral Velocity Component is defined as the lateral velocity component of the vehicle when its taking a turn at higher speeds.
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

Lateral Velocity Component: 52 Meter per Second --> 52 Meter per Second No Conversion Required
Total Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = v/v_t --> 52/60

Evaluating ... ...

β = 0.866666666666667

STEP 3: Convert Result to Output's Unit

0.866666666666667 Radian --> No Conversion Required

FINAL ANSWER

0.866666666666667 ≈ 0.866667 Radian <-- Vehicle Body Slip Angle

(Calculation completed in 00.020 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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National Institute Of Technology (NIT), Hamirpur

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< 6 Angles Related to Steering System Calculators

Caster Angle

Go Caster Angle = sin(Camber 1)-sin(Camber 2)-(cos(Camber 2)*cos(Toe Angle 2)-cos(Camber 1)*cos(Toe Angle 1))*tan(Steering Axis Inclination)/(cos(Camber 2)*sin(Toe Angle 2)-cos(Camber 1)*sin(Toe Angle 1))

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)

Steer Angle given Understeer Gradient

Go Steer Angle = (57.3*(Wheelbase of Vehicle/Radius of Turn))+(Understeer Gradient*Horizontal Lateral Acceleration)

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

Vehicle Body Slip Angle at High Cornering Speed

Go Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity

Vehicle Body Slip Angle at High Cornering Speed Formula

Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity
β = v/v_t

What is vehicle body slip angle at high cornering speed?

Body-slip angle, also known as side-slip angle, is considered as one of the key states for vehicle motion control. It is the difference between the direction a vehicle is travelling (known as heading or course over ground) and the direction that the body of the vehicle is pointing (true heading).

How to Calculate Vehicle Body Slip Angle at High Cornering Speed?

Vehicle Body Slip Angle at High Cornering Speed calculator uses Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity to calculate the Vehicle Body Slip Angle, The Vehicle body slip angle at high cornering speed formula is defined as the the angle made by the vehicle body with the actual direction of its travel when the vehicle is negotiating the turn. Vehicle Body Slip Angle is denoted by β symbol.

How to calculate Vehicle Body Slip Angle at High Cornering Speed using this online calculator? To use this online calculator for Vehicle Body Slip Angle at High Cornering Speed, enter Lateral Velocity Component (v) & Total Velocity (v_t) and hit the calculate button. Here is how the Vehicle Body Slip Angle at High Cornering Speed calculation can be explained with given input values -> 0.833333 = 52/60.

FAQ

What is Vehicle Body Slip Angle at High Cornering Speed?

The Vehicle body slip angle at high cornering speed formula is defined as the the angle made by the vehicle body with the actual direction of its travel when the vehicle is negotiating the turn and is represented as β = v/v_t or Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity. Lateral Velocity Component is defined as the lateral velocity component of the vehicle when its taking a turn at higher speeds & Total Velocity is defined as the sum of the forward and lateral velocity component of vehicle negotiating the turn.

How to calculate Vehicle Body Slip Angle at High Cornering Speed?

The Vehicle body slip angle at high cornering speed formula is defined as the the angle made by the vehicle body with the actual direction of its travel when the vehicle is negotiating the turn is calculated using Vehicle Body Slip Angle = Lateral Velocity Component/Total Velocity. To calculate Vehicle Body Slip Angle at High Cornering Speed, you need Lateral Velocity Component (v) & Total Velocity (v_t). With our tool, you need to enter the respective value for Lateral Velocity Component & 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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