How to Calculate and Solve for Time Constant | First Order Instruments | Dynamic Characteristics of Instruments
Last Updated on April 23, 2024
The image above represents time constant. Two essential parameters are needed to calculate the time constant: co-efficient (a1) and co-efficient (ao).
The formula for calculating time constant:
u = a1 / ao
Where:
u = Time Constant
a1 = Co-efficient
ao = Co-efficient
Let’s solve an example;
Find the time constant when the co-efficient is 32 and the co-efficient is 14.
This implies that;
a1 = Co-efficient = 32
ao = Co-efficient = 14
u = a1 / ao
That is, u = 32 / 14
u = 2.28
Therefore, the time constant is 2.28.
Calculating for the Co-efficient when the Time Constant and the Co-efficient are Given
a1 = u x ao
Where;
a1 = Co-efficient
u = Time Constant
ao = Co-efficient
Let’s solve an example;
Find the Co-efficient when the time constant is 20 and the co-efficient is 8.
This implies that;
u = Time Constant = 20
ao = Co-efficient = 8
a1 = u x ao
So, a1 = 20 x 8
a1 = 160
Therefore, the co-efficient is 160.
Calculating for the Co-efficient when the Time Constant and the Co-efficient are Given
ao = a1 / u
Where;
ao = Co-efficient
u = Time Constant
a1 = Co-efficient
Let’s solve an example;
Find the co-efficient when the time constant is 15, and the co-efficient is 45.
This implies that;
u = Time Constant = 15
a1 = Co-efficient = 45
ao = a1 / u
So, ao = 45 / 15
ao = 3
Therefore, the co-efficient is 3.
How to Calculate Time Constant | First Order Instruments With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia can calculate the time constant | first Order Instrument.
To get the answer and workings of the time constant | first Order Instrument 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 2,000 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 Materials and Metallurgical under Engineering.
Then, Click on instrumentation under Materials and Metallurgical
Now, Click on Dynamic Characteristics of Instruments under Instrumentation
Now, Click on Time Constant| First Order Instrument under Dynamic Characteristics of Instruments
The screenshot below displays the page or activity to enter your values, to get the answer for the time constant | first Order Instrument according to the respective parameters which is the Co-efficient (a1) and Co-efficient (ao).
Now, enter the values appropriately and accordingly for the parameters as required by the Co-efficient (a1) is 32 and Co-efficient (ao) is 14.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the time constant | first Order Instrument and presents the formula, workings and steps too.
