The image represents a reaction at the outer wheel of a vehicle moving along a level circular path. To calculate the reaction, six essential parameters are needed and these parameters are the Mass of the Vechicle (m), Acceleration due to Gravity (g), Velocity of the Vehicle (v), Height of Centre of Gravity of the Vehicle from the 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 reaction at the outer wheel of a vehicle moving along a level circular path:
RB = mg / 2[1 + v²h/gra]
Where;
RBÂ = Reaction at the Outer Wheel of a Vehicle moving along a Level Circular Path
m = Mass of the Vechicle
g = Acceleration due to Gravity
v = Velocity of the Vehicle
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 reaction when the Mass of the Vechicle (m) is 12, Acceleration due to Gravity (g) is 9.8, Velocity of the Vehicle (v) is 28, Height of Centre of Gravity of the Vehicle from Ground Level (h) is 16, Radius of Circular Path (r) is 8 and Half of the Distance between the Centre Lines of the Wheel (a) is 4.
This implies that;
m = Mass of the Vechicle = 12
g = Acceleration due to Gravity = 9.8
v = Velocity of the Vehicle = 28
h = Height of Centre of Gravity of the Vehicle from Ground Level = 16
r = Radius of Circular Path = 8
a = Half of the Distance between the Centre Lines of the Wheel = 4
RB = mg / 2[1 + v²h/gra]
RB = 12 x 9.8 / 2[1 + 28² x 16/9.8 x 8 x 4]
That is, RBÂ =Â 117.60 / 2[1 +Â 784 x 16/313.6]
RBÂ =Â 58.80[1 +Â 40]
RBÂ =Â 58.80[41]
So, RBÂ =Â 58.80[41]
RB = 2410.8
Therefore, the reaction of the outer wheel of a vehicle moving along a level circular path is 2410.8 N.
How to Calculate the Reaction at the Outer Wheel of a Vehicle Moving along a Level Circular Path Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the reaction of the outer wheel of a vehicle moving along a level circular path.
To get the answer and workings of the reaction of the outer wheel 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 the Calculator Map, then click on Mechanics under Engineering
Now, Click on Motion of Circular Path under Mechanics
Click on Reaction of the outer wheel 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 reaction of the outer wheel of a vehicle moving along a level circular path according to the respective parameter which are the Mass of the Vechicle (m), Acceleration due to Gravity (g), Velocity of the Vehicle (v), 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 Mass of the Vechicle (m) is 12, Acceleration due to Gravity (g) is 9.8, Velocity of the Vehicle (v) is 28, Height of Centre of Gravity of the Vehicle from Ground Level (h) is 16, Radius of Circular Path (r) is 8 and Half of the Distance between the Centre Lines of the Wheel (a) is 4.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the reaction of the outer wheel of a vehicle moving along a level circular path and presents the formula, workings and steps too.
