Calculare the Maximum Speed of the Car at Which It Can Continue to Move in the Circular Path
The image above represents the maximum velocity to avoid overturning of a vehicle moving along a level circular path.
To compute for 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)
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.
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.
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Once, you have obtained the calculator encyclopedia app, proceed to theCalculator Map,then click onMechanicsunderEngineering
Now, Click onMotion of Circular PathunderMechanics
Click on M aximum Velocity to avoid overturning of a vehicle moving along a level circular path underMotion 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.
Source: https://www.nickzom.org/blog/2019/04/06/how-to-calculate-and-solve-for-maximum-velocity-to-avoid-overturning-of-a-vehicle-moving-along-a-level-circular-path-the-calculator-encyclopedia/
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