How to Calculate and Solve for Distance Covered | Motion

The image above represents distance covered. To calculate distance covered, two essential parameters are needed and these parameters are angular displacement (θ) and radius (r).

The formula for calculating distance covered:

S = rθ

Where;

S = Distance Covered
r = Radius
θ = Angular Displacement

Lets’s solve an example;
Find the distance covered when the angular displacement is 22 and the radius is 14.

This implies that;

r = Radius = 14
θ = Angular Displacement = 22

So, S = rθ
S = 6 x 16
S = 96

Therefore, the distance covered is 96 m.

Calculating the Radius when the Distance Covered and the Angular Displacement are Given

r = ^S / _θ

Where;

r = Radius
S = Distance Covered
θ = Angular Displacement

Lets’s solve an example;
Find the radius when the distance covered is 70 and the angular displacement is 30.

This implies that;

S = Distance Covered = 70
θ = Angular Displacement = 30

Then, r = ^S / _θ
r = ⁷⁰ / ₃₀
r = 2.3

Therefore, the radius is 2.3.

Read more: How to Calculate and Solve for Velocity | Motion

Calculating the Angular Displacement when the Distance Covered and the Radius are Given

θ = ^S / _r

Where;

θ = Angular Displacement
S = Distance Covered
r = Radius

Lets’s solve an example;
find the angular displacement when the distance covered is 44 and the radius is 4.

This implies that;

S = Distance Covered = 44
r = Radius = 4

Then, θ = ^S / _r
θ = ⁴⁴ / ₄
θ = 11

Therefore, the angular displacement is 11.

How to Calculate and Solve for Distance Covered using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the distance covered.

To get the answer and workings of the distance covered using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Motion under Physics.

Now, Click on Distance Covered under Motion

The screenshot below displays the page or activity to enter your values, to get the answer for the distance covered according to the respective parameters which are the angular displacement (θ) and radius (r).

Now, enter the values appropriately and accordingly for the parameters as required by the angular displacement (θ) is 16 and radius (r) is 6.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the distance covered and presents the formula, workings and steps too.