The image above represents acceleration. To calculate acceleration, two essential parameters are needed, and these parameters are angular velocity (ω) and radius (r).
The formula for calculating acceleration:
a = ω²r
Where;
a = Acceleration
ω = Angular Velocity
r = Radius
Let’s solve an example;
Given that the angular velocity is 24 and the radius is 12. Find the acceleration?
This implies that;
ω = Angular Velocity = 24
r = Radius = 12
a = ω²r
a = 24² x 12
So, a = 576 x 12
a = 6912
Therefore, the acceleration is 6912 m/s².
Calculating the Angular Velocity when the Acceleration and the Time are Given
ω = √a / r
Where;
ω = Angular Velocity
a = Acceleration
r = Radius
Let’s solve an example;
Find the angular velocity when the acceleration is 50 with a radius of 2.
Master Every Calculation Instantly
Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.
This implies that;
a = Acceleration = 50
r = Radius = 2
ω = √a / r
Then, ω = √50 / 2
ω = √25
ω = 5
Therefore, the angular velocity is 5.
Read more:Â How to Calculate and Solve for Reaction: Lift Falls Freely | Motion
Calculating the Time when the Acceleration and the Angular Velocity are Given
r = a / ω2
Where;
r = Radius
a = Acceleration
ω = Angular Velocity
Let’s solve an example;
Given that the angular velocity is 8 and the acceleration is 34. Find the radius?
This implies that;
a = Acceleration = 34
ω = Angular Velocity = 8
r = a / ω2
So, r = 34 / 82
r = 34 / 64
r = 0.53
Therefore, the radius is 0.53.
How to Calculate and Solve for Acceleration in Motion Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the acceleration.
To get the answer and workings of the acceleration 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 Acceleration under Motion
The screenshot below displays the page or activity to enter your values, to get the answer for the acceleration 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 24 and radius (r) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the acceleration and presents the formula, workings and steps too.
