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:

R_{B}Â =Â ^{mg} / _{2}[1 +Â ^{vÂ²h}/_{gra}]

Where;

R_{B}Â = 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

R_{B}Â =Â ^{mg} / _{2}[1 +Â ^{vÂ²h}/_{gra}]

R_{B}Â =Â ^{12 x 9.8} / _{2}[1 +Â ^{28Â² x 16}/_{9.8 x 8 x 4}]

That is, R_{B}Â =Â ^{117.60} / _{2}[1 +Â ^{784 x 16}/_{313.6}]

R_{B}Â =Â 58.80[1 +Â 40]

R_{B}Â =Â 58.80[41]

So, R_{B}Â =Â 58.80[41]

R_{B} = 2410.8

Therefore, the **reaction of the outer wheel of a vehicle moving along a level circular path**Â 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 â€“Â **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 â€“ The Calculator Encyclopedia.Â **First, you need to obtain the app.

You can get this app via any of these means:

**Get the Nickzom Calculator below:**

**Web**Â â€“Â https://www.nickzom.org/calculator-plus

To get access to theÂ **professionalÂ **version via web, you need toÂ **register**Â andÂ **subscribeÂ **for**Â NGN 1,500Â **per**Â annum**Â to have utter access to all functionalities.

You can also try theÂ **demoÂ **version viaÂ https://www.nickzom.org/calculator

**Android (Paid)**Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)**Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)**Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

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 **Reaction of the outer wheel of a vehicle moving along a level circular path****Â **underÂ **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 Di****stance between the Centre Lines of the Wheel (a)** is **4**.

Finally, Click on Calculate

As you can see from the screenshot above,Â **Nickzom Calculator** â€“ 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.