How to Calculate and Solve for Period | Motion
Last Updated on March 18, 2024
The image above represents period. To calculate period in motion, two essential parameters are needed and these parameters are mass (m) and elastic constant (k).
The formula for calculating period:
T = 2π(√(m / k))
Where;
T = Period
m = Mass
k = Elastic Constant
Let’s solve an example;
Find the period when the mass is 32 and the elastic constant is 16.
This implies that;
m = Mass = 32
k = Elastic Constant = 16
T = 2π(√(m / k))
T = 2π x (√(32 / 16))
So, T = 2π x (√(2))
T = 2π x 1.41
T = 6.28 x 1.41
Then, T = 8.88
Therefore, the period is 8.88 s.
Calculating the Mass when the Period and the Elastic Constant are Given
m = (T / 2π)2 x k
Where;
m = Mass
T = Period
k = Elastic Constant
Let’s solve an example;
Find the mass when the period is 22, and the elastic constant is 8.
This implies that;
T = Period = 22
k = Elastic Constant = 8
m = (T / 2π)2 x k
m = (22 / 6.28)2 x 8
So, m = (3.50)2 x 8
m = 12.25 x 8
m = 98
Therefore, the mass is 98.
Read more: How to Calculate and Solve for Reaction: Lift Moves Up | Motion
Calculating the Elastic Constant when the Period and the Mass are Given
k = m / (T / 2π)2
Where;
k = Elastic Constant
T = Period
m = Mass
Let’s solve an example;
Given that the period is 12 and the mass is 7, find the elastic constant.
This implies that;
T = Period = 12
m = Mass = 7
k = m / (T / 2π)2
k = 7 / (12 / 6.28)2
Then, k = 7 / (1.91)2
k = 7 / 3.648
k = 1.918
Therefore, the elastic constant is 1.918.
How to Calculate and Solve for Period in Motion Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the period.
To get the answer and workings of the period 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 Period under Motion
The screenshot below displays the page or activity to enter your values, to get the answer for the period 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 32 and elastic constant (k) is 16.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the period and presents the formula, workings and steps too.
