Lateral Acceleration during Cornering of Car Solution

STEP 0: Pre-Calculation Summary
Formula Used
Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity
Aα = ac/g
This formula uses 3 Variables
Variables Used
Horizontal Lateral Acceleration - (Measured in Meter per Square Second) - Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.
Centripetal Acceleration during Cornering - (Measured in Meter per Square Second) - Centripetal Acceleration during Cornering is defined as the acceleration gained in the lateral direction by the car when it takes a turn with a forward velocity.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Centripetal Acceleration during Cornering: 401 Meter per Square Second --> 401 Meter per Square Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Aα = ac/g --> 401/9.8
Evaluating ... ...
Aα = 40.9183673469388
STEP 3: Convert Result to Output's Unit
40.9183673469388 Meter per Square Second --> No Conversion Required
FINAL ANSWER
40.9183673469388 40.91837 Meter per Square Second <-- Horizontal Lateral Acceleration
(Calculation completed in 00.004 seconds)

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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

Lateral Acceleration during Cornering of Car Formula

Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity
Aα = ac/g

Define the relationship between lateral acceleration and centripetal acceleraton during cornering?

If the car's lateral acceleration is greater than or equal to the curve's calculated centripetal acceleration then it will go around the curve without slipping. If the lateral acceleration of the car is less than the centripetal acceleration then the car will slip to the outside of the curve until the radius is big enough to allow the curves centripetal acceleration to be equal to the car's lateral acceleration.

How to Calculate Lateral Acceleration during Cornering of Car?

Lateral Acceleration during Cornering of Car calculator uses Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity to calculate the Horizontal Lateral Acceleration, The Lateral acceleration during cornering of car formula is defined as the acceleration gained on lateral direction which throws car and its passengers sideways during a turn. Horizontal Lateral Acceleration is denoted by Aα symbol.

How to calculate Lateral Acceleration during Cornering of Car using this online calculator? To use this online calculator for Lateral Acceleration during Cornering of Car, enter Centripetal Acceleration during Cornering (ac) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Lateral Acceleration during Cornering of Car calculation can be explained with given input values -> 40.81633 = 401/9.8.

FAQ

What is Lateral Acceleration during Cornering of Car?
The Lateral acceleration during cornering of car formula is defined as the acceleration gained on lateral direction which throws car and its passengers sideways during a turn and is represented as Aα = ac/g or Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity. Centripetal Acceleration during Cornering is defined as the acceleration gained in the lateral direction by the car when it takes a turn with a forward velocity & Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Lateral Acceleration during Cornering of Car?
The Lateral acceleration during cornering of car formula is defined as the acceleration gained on lateral direction which throws car and its passengers sideways during a turn is calculated using Horizontal Lateral Acceleration = Centripetal Acceleration during Cornering/Acceleration due to Gravity. To calculate Lateral Acceleration during Cornering of Car, you need Centripetal Acceleration during Cornering (ac) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Centripetal Acceleration during Cornering & Acceleration due to Gravity 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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