The image above represents angular velocity. To calculate angular velocity, two essential parameters are needed and these parameters are mass (m) and elastic constant (k).
The formula for calculating angular velocity:
ω = √(k / m)
Where;
ω = Angular Velocity
k = Elastic Constant
m = Mass
Let’s solve an example;
Find the angular velocity when the mass is 11 and the elastic constant is 28.
This implies that;
k = Elastic Constant = 28
jm = Mass = 11
ω = √(k / m)
So, ω = √(28 / 11)
ω = √(2.54)
ω = 1.59
Therefore, the angular velocity is 1.59 rad/s.
Calculating the Elastic Constant when the Angular Velocity and the Mass are Given
k = ω2m
Where;
k = Elastic Constant
ω = Angular Velocity
m = Mass
Let’s solve an example;
Find the elastic constant when the angular velocity is 12 and the mass is 8.
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This implies that;
ω = Angular Velocity = 12
m = Mass = 8
k = ω2m
Then, k = 1228
k = 144 x 8
k = 1152
Therefore, the elastic constant is 1152.
Read more:Â How to Calculate and Solve for Final Velocity | Motion
Calculating the Mass when the Angular Velocity and the Elastic Constant are Given
m = k / ω2
Where;
m = Mass
ω = Angular Velocity
k = Elastic Constant
Let’s solve an example;
Given that the angular velocity is 32 and the elastic constant is 10. Find the mass?
This implies that;
ω = Angular Velocity = 32
k = Elastic Constant = 10
m = k / ω2
So, m = 10 / 322
m = 10 / 1024
m = 0.009
Therefore, the mass is 0.009.
How to Calculate and Solve for Angular Velocity Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the angular velocity.
To get the answer and workings of the angular 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 Angular Velocity under Motion
The screenshot below displays the page or activity to enter your values, to get the answer for the angular velocity according to the respective parameters which are the mass (m) and elastic constant (k).
Now, enter the values appropriately and accordingly for the parameters as required by the mass (m) is 11 and elastic constant (k) is 28.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the angular velocity and presents the formula, workings and steps too.
