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Rear Slip Angle due to High Speed Cornering Formula

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Slip Angle of Rear Wheel is the angle between the direction of the rear wheel and the direction of travel of the vehicle. Check FAQs

α r = β - (\frac{b \cdot r}{v t})

α_r - Slip Angle of Rear Wheel?β - Vehicle Body Slip Angle?b - Distance of c.g from Rear Axle?r - Yaw Velocity?v_t - Total Velocity?

Rear Slip Angle due to High Speed Cornering Example

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Here is how the Rear Slip Angle due to High Speed Cornering equation looks like with Values.

Here is how the Rear Slip Angle due to High Speed Cornering equation looks like with Units.

Here is how the Rear Slip Angle due to High Speed Cornering equation looks like.

0.2567 = 0.34 - (\frac{0.2 \cdot 25}{60})

0.2567° = 0.34° - (\frac{0.2m \cdot 25degree/s}{60m/s})

0.2567 = 0.34 - (\frac{0.2 \cdot 25}{60})

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Rear Slip Angle due to High Speed Cornering Solution

Follow our step by step solution on how to calculate Rear Slip Angle due to High Speed Cornering?

FIRST Step Consider the formula

α r = β - (\frac{b \cdot r}{v t})

Next Step Substitute values of Variables

∴

α r = 0.34° - (\frac{0.2m \cdot 25degree/s}{60m/s})

Next Step Convert Units

∴

α r = 0.0059rad - (\frac{0.2m \cdot 0.4363rad/s}{60m/s})

Next Step Prepare to Evaluate

∴

α r = 0.0059 - (\frac{0.2 \cdot 0.4363}{60})

Next Step Evaluate

∴

α r = 0.00447967841345128rad

Next Step Convert to Output's Unit

∴

α r = 0.256666666666667°

LAST Step Rounding Answer

∴

α r = 0.2567°

Rear Slip Angle due to High Speed Cornering Formula Elements

Variables

Slip Angle of Rear Wheel

Slip Angle of Rear Wheel is the angle between the direction of the rear wheel and the direction of travel of the vehicle.

Symbol: α_r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Slip Angle of Rear Wheel

Vehicle Body Slip Angle

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.

Symbol: β

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Vehicle Body Slip Angle

Distance of c.g from Rear Axle

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.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance of c.g from Rear Axle

Yaw Velocity

Yaw Velocity is the rotational speed of the axles around their vertical axis, influencing the steering system's performance and overall vehicle stability.

Symbol: r

Measurement: Angular VelocityUnit: degree/s

Note: Value should be greater than 0.

Formulas to find Yaw Velocity

Total Velocity

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.

Symbol: v_t

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Total Velocity

Other formulas in Forces on Steering System and Axles category

Go Track Width of Vehicle using Ackermann Condition

a tw = (\cot (δ o) - \cot (δ i)) \cdot L

Go Self Aligning Moment or Torque on Wheels

M at = (M zl + M zr) \cdot \cos (λ l) \cdot \cos (ν)

Go Front Slip Angle at High Cornering Speed

α f = β + ((\frac{a \cdot r}{v t}) - δ)

Go Load on Front Axle at High Speed Cornering

W fl = \frac{W \cdot b}{L}

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

Rear Slip Angle due to High Speed Cornering evaluator uses Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity) to evaluate 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 evaluate Rear Slip Angle due to High Speed Cornering using this online evaluator? To use this online evaluator 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.

FAQs on Rear Slip Angle due to High Speed Cornering

What is the formula to find Rear Slip Angle due to High Speed Cornering?

The formula of Rear Slip Angle due to High Speed Cornering is expressed as Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity). Here is an example- -16.329297 = 0.00593411945677961-((0.2*0.4363323129985)/60).

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

With Vehicle Body Slip Angle (β), Distance of c.g from Rear Axle (b), Yaw Velocity (r) & Total Velocity (v_t) we can find Rear Slip Angle due to High Speed Cornering using the formula - Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity).

Can the Rear Slip Angle due to High Speed Cornering be negative?

Yes, the Rear Slip Angle due to High Speed Cornering, measured in Angle can be negative.

Which unit is used to measure Rear Slip Angle due to High Speed Cornering?

Rear Slip Angle due to High Speed Cornering is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Rear Slip Angle due to High Speed Cornering can be measured.

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Rear Slip Angle due to High Speed Cornering Formula

Rear Slip Angle due to High Speed Cornering Example

Rear Slip Angle due to High Speed Cornering Solution

Rear Slip Angle due to High Speed Cornering Formula Elements

Other formulas in Forces on Steering System and Axles category

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

FAQs on Rear Slip Angle due to High Speed Cornering

Variable Name