How to Calculate and Solve for Normal Dumping Ratio | Dynamic Characteristics of Instruments

The image above represents the normal dumping ratio. Two essential parameters are needed to calculate the normal dumping ratio: actual dumping (da) and critical dumping (dc).

The formula for calculating normal dumping ratio:

ε = da / dc

Where:

ε = Normal Dumping Ratio
da = Actual Dumping
dc = Critical Dumping

Let’s solve an example;
Find the normal dumping ratio when the actual dumping is 12 and the critical dumping is 6.

This implies that;

da = Actual Dumping = 12
dc = Critical Dumping = 6

ε = da / dc
So, ε = 12 / 6
ε = 2

Therefore, the normal dumping ratio is 2.

Calculating for Actual Dumping when the Normal Dumping Ratio and the Critical Dumping are Given

da = ε x dc

Where;

da = Actual Dumping
ε = Normal Dumping Ratio
dc = Critical Dumping

Let’s solve an example;
Find the actual dumping when the normal dumping ratio is 12 and the critical dumping is 9.

This implies that;

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ε = Normal Dumping Ratio = 12
dc = Critical Dumping = 9

da = ε x dc
Then, da = 12 x 9
da = 108

Therefore, the actual dumping is 108.

Reading: How to Calculate and Solve for Dumping Ratio | Step and Frequency Response | Dynamic Characteristics of Instruments

Calculating for Critical Dumping when the Normal Dumping Ratio and the Actual Dumping are Given

dc = da / ε

Where;

dc = Critical Dumping
ε = Normal Dumping Ratio
da = Actual Dumping

Let’s solve an example;
Find the critical dumping when the normal dumping ratio is 12 and the actual dumping is 56.

This implies that;

ε = Normal Dumping Ratio = 12
da = Actual Dumping = 56

dc = da / ε
So, dc = 56 / 12
dc = 4.67

Therefore, the critical dumping is 4.67.

Read more: How to Calculate and Solve for Time Constant | Second Order Instruments | Dynamic Characteristics of Instruments

How to Calculate Normal Dumping Ratio Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the normal dumping ratio.

To get the answer and workings of the normal dumping ratio 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.

Now, Click on instrumentation under Materials and Metallurgical

So, Click on Dynamic Characteristics of Instruments under Instrumentation

How to Calculate and Solve for Normal Dumping Ratio | Dynamic Characteristics of Instruments

Now, Click on Normal Dumping Ratio under Dynamic Characteristics of Instruments

How to Calculate and Solve for Normal Dumping Ratio | Dynamic Characteristics of Instruments

The screenshot below displays the page or activity to enter your values, to get the answer for the normal dumping ratio according to the respective parameters which is the Actual Dumping (da) and Critical Dumping (dc).

Now, enter the values appropriately and accordingly for the parameters as required by the Actual Dumping (da) is 12 and Critical Dumping (dc) is 6.

Finally, Click on Calculate

How to Calculate and Solve for Normal Dumping Ratio | Dynamic Characteristics of Instruments

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the normal dumping ratio and presents the formula, workings, and steps, too.

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