Centripetal Acceleration during Cornering Calculator

✖Total Velocity is the overall speed of a vehicle's axles, considering the rotational speed of wheels and the linear velocity of the vehicle's movement.ⓘ Total Velocity [v_t]			+10% -10%
✖Radius of Turn is the distance from the center of rotation to the point on the circle where the vehicle is turning.ⓘ Radius of Turn [R]			+10% -10%

✖Centripetal Acceleration during Cornering is the acceleration that keeps a vehicle's wheels and axles moving in a circular path while cornering or turning.ⓘ Centripetal Acceleration during Cornering [a_c]

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Centripetal Acceleration during Cornering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn
a_c = (v_t*v_t)/R
This formula uses 3 Variables

Variables Used

Centripetal Acceleration during Cornering - (Measured in Meter per Square Second) - Centripetal Acceleration during Cornering is the acceleration that keeps a vehicle's wheels and axles moving in a circular path while cornering or turning.
Total Velocity - (Measured in Meter per Second) - Total Velocity is the overall speed of a vehicle's axles, considering the rotational speed of wheels and the linear velocity of the vehicle's movement.
Radius of Turn - (Measured in Meter) - Radius of Turn is the distance from the center of rotation to the point on the circle where the vehicle is turning.

STEP 1: Convert Input(s) to Base Unit

Total Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of Turn: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = (v_t*v_t)/R --> (60*60)/9

Evaluating ... ...

a_c = 400

STEP 3: Convert Result to Output's Unit

400 Meter per Square Second --> No Conversion Required

FINAL ANSWER

400 Meter per Square Second <-- Centripetal Acceleration during Cornering

(Calculation completed in 00.004 seconds)

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Credits

Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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

Verified by Kartikay Pandit

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)

Centripetal Acceleration during Cornering Formula

LaTeX Go

Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn
a_c = (v_t*v_t)/R

What is centripetal acceleration during cornering of car?

Centripetal acceleration during cornering of a car is the acceleration directed towards the center of the curve or turn that keeps the car moving along a curved path. It is responsible for changing the direction of the car's velocity without changing its speed. This acceleration depends on the car's speed and the radius of the curve.

How to Calculate Centripetal Acceleration during Cornering?

Centripetal Acceleration during Cornering calculator uses Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn to calculate the Centripetal Acceleration during Cornering, Centripetal Acceleration during Cornering formula is defined as the rate of change of velocity of an object moving in a circular path, particularly when a vehicle is taking a turn, which is influenced by the velocity of the vehicle and the radius of the circular path. Centripetal Acceleration during Cornering is denoted by a_c symbol.

How to calculate Centripetal Acceleration during Cornering using this online calculator? To use this online calculator for Centripetal Acceleration during Cornering, enter Total Velocity (v_t) & Radius of Turn (R) and hit the calculate button. Here is how the Centripetal Acceleration during Cornering calculation can be explained with given input values -> 400 = (60*60)/9.

FAQ

What is Centripetal Acceleration during Cornering?

Centripetal Acceleration during Cornering formula is defined as the rate of change of velocity of an object moving in a circular path, particularly when a vehicle is taking a turn, which is influenced by the velocity of the vehicle and the radius of the circular path and is represented as a_c = (v_t*v_t)/R or Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn. Total Velocity is the overall speed of a vehicle's axles, considering the rotational speed of wheels and the linear velocity of the vehicle's movement & Radius of Turn is the distance from the center of rotation to the point on the circle where the vehicle is turning.

How to calculate Centripetal Acceleration during Cornering?

Centripetal Acceleration during Cornering formula is defined as the rate of change of velocity of an object moving in a circular path, particularly when a vehicle is taking a turn, which is influenced by the velocity of the vehicle and the radius of the circular path is calculated using Centripetal Acceleration during Cornering = (Total Velocity*Total Velocity)/Radius of Turn. To calculate Centripetal Acceleration during Cornering, you need Total Velocity (v_t) & Radius of Turn (R). With our tool, you need to enter the respective value for Total Velocity & Radius of Turn 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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