How to Calculate and Solve for Velocity | Motion

The image above represents velocity. To calculate velocity, two essential parameters are needed and these parameters are angular velocity (ω) and radius (r).

The formula for calculating velocity:

v = ωr

Where;

v = Velocity
ω = Angular Velocity
r = Radius

Let’s solve an example;
Find the velocity when the angular velocity is 17 with a radius of 6.

This implies that;

ω = Angular Velocity = 17
r = Radius = 6

So, v = ωr
v = 17 x 6
v = 102

Therefore, the velocity is 102 m/s.

Calculating the Angular Velocity when the Velocity and the Radius are Given

ω =^v / _r

Where;

ω = Angular Velocity
v = Velocity
r = Radius

Let’s solve an example;
Given that the velocity is 30 with a radius of 3, find the angular velocity.

This implies that;

v = Velocity = 30
r = Radius = 3

That is, ω = ^v / _r
ω = ³⁰ / ₃
ω = 10

Therefore, the angular velocity is 10.

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

Calculating the Radius when the Velocity and the Angular Velocity are Given

r = ^v / _ω

Where;

r = Radius
v = Velocity
ω = Angular Velocity

Let’s solve an example;
Find the radius when the velocity is 40 with an angular velocity of 14.

This implies that;

v = Velocity = 40
ω = Angular Velocity = 14

Then, r = ^v / _ω
r = ⁴⁰ / ₁₄
r = 2.857

Therefore, the radius is 2.857.

How to Calculate and Solve for Velocity Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the velocity.

To get the answer and workings of the velocity 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 Velocity under Motion

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

Now, enter the values appropriately and accordingly for the parameters as required by the angular velocity (ω) is 17 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 velocity and presents the formula, workings and steps too.