Characteristic Speed for Understeer Vehicles 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%

✖Characteristic Speed for Understeer Vehicles is the speed at which a vehicle's tires lose grip and start to skid or slide outward during a turn.ⓘ Characteristic Speed for Understeer Vehicles [v_u]

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Formula

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Characteristic Speed for Understeer Vehicles

Formula

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

Example

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

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Characteristic Speed for Understeer Vehicles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Speed for Understeer Vehicles = sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/Understeer Gradient)
v_u = 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

Characteristic Speed for Understeer Vehicles - (Measured in Meter per Second) - Characteristic Speed for Understeer Vehicles is the speed at which a vehicle's tires lose grip and start to skid or 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_u = sqrt((57.3*L*g)/K) --> sqrt((57.3*2.7*9.8)/0.00181514242207376)

Evaluating ... ...

v_u = 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 <-- Characteristic Speed for Understeer Vehicles

(Calculation completed in 00.004 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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< Forces 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)

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

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)

Characteristic Speed for Understeer Vehicles Formula

Characteristic Speed for Understeer Vehicles = sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/Understeer Gradient)
v_u = sqrt((57.3*L*g)/K)

What is characteristic speed of understeer vehicles?

The characteristic speed of understeer vehicles is the speed at which a vehicle begins to exhibit noticeable understeer, meaning the front wheels lose grip and the vehicle tends to turn less sharply than intended. At this speed, the vehicle's handling dynamics shift, requiring more steering input to maintain the desired path through a turn. This speed is influenced by factors such as vehicle design, tire properties, and weight distribution.

How to Calculate Characteristic Speed for Understeer Vehicles?

Characteristic Speed for Understeer Vehicles calculator uses Characteristic Speed for Understeer Vehicles = sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/Understeer Gradient) to calculate the Characteristic Speed for Understeer Vehicles, Characteristic Speed for Understeer Vehicles formula is defined as a measure of the speed at which a vehicle's tires lose traction and start to skid or slide outward, typically occurring when the vehicle is cornering or turning at high speeds. Characteristic Speed for Understeer Vehicles is denoted by v_u symbol.

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

FAQ

What is Characteristic Speed for Understeer Vehicles?

Characteristic Speed for Understeer Vehicles formula is defined as a measure of the speed at which a vehicle's tires lose traction and start to skid or slide outward, typically occurring when the vehicle is cornering or turning at high speeds and is represented as v_u = sqrt((57.3*L*g)/K) or Characteristic Speed for Understeer 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 Characteristic Speed for Understeer Vehicles?

Characteristic Speed for Understeer Vehicles formula is defined as a measure of the speed at which a vehicle's tires lose traction and start to skid or slide outward, typically occurring when the vehicle is cornering or turning at high speeds is calculated using Characteristic Speed for Understeer Vehicles = sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/Understeer Gradient). To calculate Characteristic Speed for Understeer Vehicles, 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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