How to Calculate and Solve for Percentage Error for Full Scale | System Performance Characteristics

The image above represents the percentage error for the full scale. Two essential parameters are Error (E) and Maximum Scale Value (MSV) to calculate percentage error for the full scale.

The formula for calculating percentage error for full scale:

%E = ^E / _MSV x 100%

Where:

%E = Percentage Error for full scale
E = Error
MSV = Maximum Scale Value

Let’s solve an example;
Find the percentage error for full scale when the error is 20 and the maximum scale value is 12.

This implies that;

E = Error = 20
MSV = Maximum scale Value = 12

%E = ^E / _MSV x 100%
S = ²⁰ / ₁₂ x 100%
Then, S = 1.66 x 100%
S = 166.6

Therefore, the percentage error for full scale is 166.6%.

Calculating for the Error when the Percentage Error for Full Scale and the Maximum Scale Value are Given

E = ^{%E x MSV} / _100%

Where:

E = Error
%E = Percentage Error for Full Scale
MSV = Maximum Scale Value

Let’s solve an example;
Find the error when the percentage error for full scale is 30 and the true value is 10.

This implies that;

%E = Percentage Error for full scale = 30
MSV = Maximum Scale Value = 10

E = ^{%E x MSV} / _100%
E = ^{30 x 10} / _100%
So, E = ³⁰⁰ / _100%
E = 3

Therefore, the error is 3%.

Read more: How to Calculate and Solve for Percentage Error at any Point on the Instrument | System Performance Characteristics

Calculating for the Maximum Scale Value when the Percentage Error for Full Scale and the Error are Given

MSV = ^{E x 100%} / _%E

Where:

MSV = Maximum Scale Value
%E = Percentage Error for full scale
E = Error

Let’s solve an example;
Find the maximum scale value when the percentage error for full scale is 14 and the error is 32.

This implies that;

%E = Percentage Error for full scale = 14
E = Error = 32

MSV = ^{E x 100%} / _%E
MSV = ^{32 x 100%} / ₁₄
So, MSV = ³²⁰⁰ / ₁₄
MSV = 228.5

Therefore, the maximum scale value is 228.5%.

Read more: How to Calculate and Solve for Error | System Performance Characteristics

How to Calculate Percentage Error for Full Scale With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the percentage error for full scale.

To get the answer and workings of the percentage error for full scale 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

Then, Click on System Performance Characteristics under Instrumentation

Now, Click on Percentage Error for Full Scale under System Performance Characteristics

The screenshot below displays the page or activity to enter your values, to get the answer for the percentage error for full scale according to the respective parameters which is the Error (E) and Maximum Scale Value (MSV).

Now, enter the values appropriately and accordingly for the parameters as required by the Error (E) is 20 and Maximum Scale Value (MSV) is 12.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves the percentage error for full scale and presents the formula, workings and steps, too.