Critical Speed for Oversteer Vehicle Calculator

✖Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle.ⓘ Wheelbase of Vehicle [L]			+10% -10%
✖Acceleration due to Gravity is the downward force exerted on the vehicle's axles, affecting the steering system's performance and overall vehicle stability.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖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.ⓘ Understeer Gradient [K]			+10% -10%

✖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.ⓘ Critical Speed for Oversteer Vehicle [v_o]

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Critical Speed for Oversteer Vehicle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient))
v_o = -sqrt((57.3*L*g)/(K))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Critical Speed for Oversteer Vehicles - (Measured in Meter per Second) - 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.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is the downward force exerted on the vehicle's axles, affecting the steering system's performance and overall vehicle stability.
Understeer Gradient - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Wheelbase of Vehicle: 2.7 Meter --> 2.7 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Understeer Gradient: 0.104 Degree --> 0.00181514242207376 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_o = -sqrt((57.3*L*g)/(K)) --> -sqrt((57.3*2.7*9.8)/(0.00181514242207376))

Evaluating ... ...

v_o = -913.938299944743

STEP 3: Convert Result to Output's Unit

-913.938299944743 Meter per Second --> No Conversion Required

FINAL ANSWER

-913.938299944743 ≈ -913.9383 Meter per Second <-- Critical Speed for Oversteer Vehicles

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Front Axle and Steering » Mechanical » Forces on Steering System and Axles » Critical Speed for Oversteer Vehicle

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

Syed Adnan has created this Calculator and 200+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< Forces on Steering System and Axles Calculators

Self Aligning Moment or Torque on Wheels

LaTeX 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

LaTeX 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

LaTeX Go Track Width of Vehicle = (cot(Steering Angle Outer Wheel)-cot(Steering Angle Inner Wheel))*Wheelbase of Vehicle

Rear Slip Angle due to High Speed Cornering

LaTeX Go Slip Angle of Rear Wheel = Vehicle Body Slip Angle-((Distance of c.g from Rear Axle*Yaw Velocity)/Total Velocity)

Critical Speed for Oversteer Vehicle Formula

LaTeX Go

Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient))
v_o = -sqrt((57.3*L*g)/(K))

What is critical speed for oversteer vehicle?

The critical speed for an oversteer vehicle is the speed at which the rear wheels begin to lose grip during a turn, causing the rear of the vehicle to slide outwards more than the front. This results in the vehicle turning more sharply than intended. At this speed, the vehicle becomes more difficult to control, and the driver must correct the steering to prevent a spin. The critical speed is influenced by factors like tire grip, weight distribution, and vehicle design.

How to Calculate Critical Speed for Oversteer Vehicle?

Critical Speed for Oversteer Vehicle calculator uses Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient)) to calculate 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 calculate Critical Speed for Oversteer Vehicle using this online calculator? To use this online calculator for Critical Speed for Oversteer Vehicle, enter Wheelbase of Vehicle (L), Acceleration due to Gravity (g) & Understeer Gradient (K) and hit the calculate button. Here is how the Critical Speed for Oversteer Vehicle calculation can be explained with given input values -> -913.9383 = -sqrt((57.3*2.7*9.8)/(0.00181514242207376)).

FAQ

What is Critical Speed for Oversteer Vehicle?

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 and is represented as v_o = -sqrt((57.3*L*g)/(K)) or Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient)). Wheelbase of Vehicle is the distance between the center of the front and rear axles, affecting the stability and steering of a vehicle, Acceleration due to Gravity is the downward force exerted on the vehicle's axles, affecting the steering system's performance and overall vehicle stability & 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.

How to calculate Critical Speed for Oversteer Vehicle?

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 is calculated using Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient)). To calculate Critical Speed for Oversteer Vehicle, you need Wheelbase of Vehicle (L), Acceleration due to Gravity (g) & Understeer Gradient (K). With our tool, you need to enter the respective value for Wheelbase of Vehicle, Acceleration due to Gravity & Understeer Gradient 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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