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)
vu = 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 defined as speed at which this steer angle becomes twice the Ackermann steer angle is known as characteristic speed.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Understeer Gradient - (Measured in Radian) - Understeer Gradient is defined as the derivative of the front tires average steer angle with respect to the lateral acceleration imposed to the vehicle at its center of gravity.
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
vu = sqrt((57.3*L*g)/K) --> sqrt((57.3*2.7*9.8)/0.00181514242207376)
Evaluating ... ...
vu = 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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11 Moments, Loads, Angles acting 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)
Critical Speed for Oversteer Vehicle
Go Critical Speed for Oversteer Vehicles = -sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/(Understeer Gradient))
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
Characteristic Speed for Understeer Vehicles
Go Characteristic Speed for Understeer Vehicles = sqrt((57.3*Wheelbase of Vehicle*Acceleration due to Gravity)/Understeer Gradient)
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)
Load on Front Axle at High Speed Cornering
Go Load on Front Axle at High Speed Cornering = (Total Load of Vehicle*Distance of c.g from Rear Axle)/Wheelbase of Vehicle
Load on Rear Axle at High Speed Cornering
Go Load on Rear Axle at High Speed Cornering = (Total Load of Vehicle*Distance of c.g from Front Axle)/Wheelbase of Vehicle
Centripetal Acceleration during Cornering
Go Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn
Lateral Acceleration during Cornering of Car
Go Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity
Driveline Torque
Go Driveline Torque = Tractive Force*Radius of Tire

Characteristic Speed for Understeer Vehicles Formula

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

What is characteristic speed of understeer vehicles?

Characteristic speed is defined for understeer vehicles. As the speed of the vehicle is increased, the steering angle required to negotiate the turn will increase. The speed at which this steer angle becomes twice the Ackermann steer angle is known as characteristic speed. For a constant radius turn, for understeer condition, ‘ K ’ is positive and the required steer angle increases with increase in speed to negotiate the curve.

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, The Characteristic speed for understeer vehicles formula is defined as the speed at which this steer angle becomes twice the Ackermann steer angle. Characteristic Speed for Understeer Vehicles is denoted by vu 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?
The Characteristic speed for understeer vehicles formula is defined as the speed at which this steer angle becomes twice the Ackermann steer angle and is represented as vu = 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 center distance between the front and the rear axle of the vehicle, Acceleration Due to Gravity is acceleration gained by an object because of gravitational force & Understeer Gradient is defined as the derivative of the front tires average steer angle with respect to the lateral acceleration imposed to the vehicle at its center of gravity.
How to calculate Characteristic Speed for Understeer Vehicles?
The Characteristic speed for understeer vehicles formula is defined as the speed at which this steer angle becomes twice the Ackermann steer angle 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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