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Critical Speed for Oversteer Vehicle Formula

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Critical Speed for Oversteer Vehicles is the speed at which a vehicle's rear wheels lose traction and start to slide outward during a turn. Check FAQs

v o = - \sqrt{\frac{57.3 \cdot L \cdot g}{K}}

v_o - Critical Speed for Oversteer Vehicles?L - Wheelbase of Vehicle?g - Acceleration due to Gravity?K - Understeer Gradient?

Critical Speed for Oversteer Vehicle Example

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Here is how the Critical Speed for Oversteer Vehicle equation looks like with Values.

Here is how the Critical Speed for Oversteer Vehicle equation looks like with Units.

Here is how the Critical Speed for Oversteer Vehicle equation looks like.

-913.9383 = - \sqrt{\frac{57.3 \cdot 2.7 \cdot 9.8}{0.104}}

-913.9383m/s = - \sqrt{\frac{57.3 \cdot 2.7m \cdot 9.8m/s²}{0.104°}}

-913.9383 = - \sqrt{\frac{57.3 \cdot 2.7 \cdot 9.8}{0.104}}

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Critical Speed for Oversteer Vehicle Solution

Follow our step by step solution on how to calculate Critical Speed for Oversteer Vehicle?

FIRST Step Consider the formula

v o = - \sqrt{\frac{57.3 \cdot L \cdot g}{K}}

Next Step Substitute values of Variables

∴

v o = - \sqrt{\frac{57.3 \cdot 2.7m \cdot 9.8m/s²}{0.104°}}

Next Step Convert Units

∴

v o = - \sqrt{\frac{57.3 \cdot 2.7m \cdot 9.8m/s²}{0.0018rad}}

Next Step Prepare to Evaluate

∴

v o = - \sqrt{\frac{57.3 \cdot 2.7 \cdot 9.8}{0.0018}}

Next Step Evaluate

∴

v o = -913.938299944743m/s

LAST Step Rounding Answer

∴

v o = -913.9383m/s

Critical Speed for Oversteer Vehicle Formula Elements

Variables

Functions

Critical Speed for Oversteer Vehicles

Critical Speed for Oversteer Vehicles is the speed at which a vehicle's rear wheels lose traction and start to slide outward during a turn.

Symbol: v_o

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Critical Speed for Oversteer Vehicles

Wheelbase of Vehicle

Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wheelbase of Vehicle

Acceleration due to Gravity

Acceleration due to Gravity is the downward force exerted on the vehicle's axles, affecting the steering system's performance and overall vehicle stability.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Understeer Gradient

Understeer Gradient is the rate of change of the lateral force on the front axle with respect to the steering wheel angle in a vehicle.

Symbol: K

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Understeer Gradient

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Rear Slip Angle due to High Speed Cornering

α r = β - (\frac{b \cdot r}{v t})

Go Front Slip Angle at High Cornering Speed

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

How to Evaluate Critical Speed for Oversteer Vehicle?

Critical Speed for Oversteer Vehicle evaluator uses Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient)) to evaluate the Critical Speed for Oversteer Vehicles, Critical Speed for Oversteer Vehicle formula is defined as the maximum speed at which a vehicle can take a turn without losing traction or skidding, and it is a critical parameter in vehicle dynamics and stability analysis, used to evaluate the handling and safety of a vehicle. Critical Speed for Oversteer Vehicles is denoted by v_o symbol.

How to evaluate Critical Speed for Oversteer Vehicle using this online evaluator? To use this online evaluator for Critical Speed for Oversteer Vehicle, enter Wheelbase of Vehicle (L), Acceleration due to Gravity (g) & Understeer Gradient (K) and hit the calculate button.

FAQs on Critical Speed for Oversteer Vehicle

What is the formula to find Critical Speed for Oversteer Vehicle?

The formula of Critical Speed for Oversteer Vehicle is expressed as Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient)). Here is an example- -913.9383 = -sqrt((57.3*2.7*9.8)/(0.00181514242207376)).

How to calculate Critical Speed for Oversteer Vehicle?

With Wheelbase of Vehicle (L), Acceleration due to Gravity (g) & Understeer Gradient (K) we can find Critical Speed for Oversteer Vehicle using the formula - Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient)). This formula also uses Square Root Function function(s).

Can the Critical Speed for Oversteer Vehicle be negative?

Yes, the Critical Speed for Oversteer Vehicle, measured in Speed can be negative.

Which unit is used to measure Critical Speed for Oversteer Vehicle?

Critical Speed for Oversteer Vehicle is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Critical Speed for Oversteer Vehicle can be measured.

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