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:
vmax = √(gra / h)
Where:
vmax = 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
vmax = √(gra / h)
vmax = √((10.2)(22)(32)/14)
So, vmax = √((7180.79)/14)
vmax = √(512.91)
vmax = 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 – 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 – The Calculator Encyclopedia. First, you need to obtain the app.
Get the Nickzom Calculator below:
You can get this app via any of these means:
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You can also try the demo version via https://www.nickzom.org/calculator
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Steps to Calculate
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Mechanics under Engineering
Now, Click on Motion of Circular Path under Mechanics
Click on Maximum Velocity to avoid overturning of a vehicle moving along a level circular path under 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, Nickzom Calculator – 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.
