# How to Calculate and Solve for Maximum Velocity to avoid Overturning of a Vehicle moving along a Level Circular Path | The Calculator Encyclopedia

The image above shows the maximum velocity to avoid overturning of a vehicle moving along a level circular path. To calculate the maximum velocity, four essential parameters are needed and these parameters are Acceleration due to Gravity (g), Height of Centre of Gravity of the Vehicle from Ground Level (h), Radius of Circular Path (r), and Half of the Distance between the Centre Lines of the Wheel (a).

The formula for calculating the maximum velocity:

vmaxÂ = âˆš(gra / h)

Where:
vmaxÂ = Maximum Velocity to avoid Overturning of a Vehicle moving along a Level Circular Path
g = Acceleration due to Gravity
h = Height of Centre of Gravity of the Vehicle from Ground Level
r = Radius of Circular Path
a = Half of the Distance between the Centre Lines of the Wheel

Let’s solve an example;
Find the maximum velocity when the Acceleration due to Gravity (g) is 10.2, Height of Centre of Gravity of the Vehicle from Ground Level (h) is 14, Radius of Circular Path (r) is 22 and Half of the Distance between the Centre Lines of the Wheel (a) is 32.

This implies that;
g = Acceleration due to Gravity = 10.2
h = Height of Centre of Gravity of the Vehicle from Ground Level = 14
r = Radius of Circular Path = 22
a = Half of the Distance between the Centre Lines of the Wheel = 32

vmaxÂ = âˆš(gra / h)
vmaxÂ = âˆš((10.2)(22)(32)/14)
So, vmaxÂ = âˆš((7180.79)/14)
vmax = âˆš(512.91)
vmaxÂ = 22.647

Therefore, the maximum velocity to avoid Overturning of a Vehicle moving along a Level Circular Path is 22.647 m/s.

### How to Calculate the Maximum Velocity to Avoid Overturning of a Vehicle Moving along a Level Circular Path Using The Calculator Encyclopedia

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the maximum velocity to avoid overturning of a vehicle moving along a level circular path.

To get the answer and workings of the maximum velocity to avoid overturning of a vehicle moving along a level circular path using the Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

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#### Steps to Calculate

Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ MechanicsÂ underÂ Engineering

Now, Click onÂ Motion of Circular PathÂ underÂ Mechanics

Click on Maximum Velocity to avoid overturning of a vehicle moving along a level circular pathÂ underÂ Motion of Circular Path

The screenshot below displays the page or activity to enter your value, to get the answer for the maximum velocity to avoid overturning of a vehicle moving along a level circular path according to the respective parameter which are the Acceleration due to Gravity (g), Height of Centre of Gravity of the Vehicle from Ground Level (h), Radius of Circular Path (r) and Half of the Distance between the Centre Lines of the Wheel (a).

Now, enter the value appropriately and accordingly for the parameter as required by the Acceleration due to Gravity (g) is 10.2, Height of Centre of Gravity of the Vehicle from Ground Level (h) is 14, Radius of Circular Path (r) is 22 and Half of the Distance between the Centre Lines of the Wheel (a) is 32.

Finally, Click on Calculate

As you can see from the screenshot above,Â Nickzom Calculator â€“ The Calculator Encyclopedia solves for the maximum velocity to avoid overturning of a vehicle moving along a level circular path and presents the formula, workings and steps too.