Relative Accuracy for First Order Class II Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Accuracy = 0.7*sqrt(Distance Between Bench Marks)
C = 0.7*sqrt(K)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Relative Accuracy - (Measured in Millimeter) - Relative Accuracy is the allowable error times the square root of the distance between control points.
Distance Between Bench Marks - (Measured in Millimeter) - Distance Between Bench Marks is the distance measured in kilometer while calculating the accuracy of survey in vertical control.
STEP 1: Convert Input(s) to Base Unit
Distance Between Bench Marks: 25 Kilometer --> 25000000 Millimeter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = 0.7*sqrt(K) --> 0.7*sqrt(25000000)
Evaluating ... ...
C = 3500
STEP 3: Convert Result to Output's Unit
3.5 Meter -->3500 Millimeter (Check conversion ​here)
FINAL ANSWER
3500 Millimeter <-- Relative Accuracy
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
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Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
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Relative Accuray Calculators

Relative Accuracy for Second Order Class II
​ LaTeX ​ Go Relative Accuracy = 1.3*sqrt(Distance Between Bench Marks)
Relative Accuracy for First Order Class II
​ LaTeX ​ Go Relative Accuracy = 0.7*sqrt(Distance Between Bench Marks)
Relative Accuracy for First Order Class I
​ LaTeX ​ Go Relative Accuracy = 0.5*sqrt(Distance Between Bench Marks)
Relative Accuracy for Second Order Class I
​ LaTeX ​ Go Relative Accuracy = sqrt(Distance Between Bench Marks)

Relative Accuracy for First Order Class II Formula

​LaTeX ​Go
Relative Accuracy = 0.7*sqrt(Distance Between Bench Marks)
C = 0.7*sqrt(K)

Why is Relative Accuracy for First Order Class II important?

Relative Accuracy for First Order Class II is important because it provides a quantitative measure of the accuracy of a numerical method used to solve first-order ODEs of the Class II type. This information is useful in determining the appropriateness of the method for a given problem and in comparing the accuracy of different methods. It can also be used to estimate the error in the numerical solution and to determine the step size required for a desired level of accuracy.

How to Calculate Relative Accuracy for First Order Class II?

Relative Accuracy for First Order Class II calculator uses Relative Accuracy = 0.7*sqrt(Distance Between Bench Marks) to calculate the Relative Accuracy, The Relative Accuracy for First Order Class II formula is defined as 0.7 times the square root of distance measured between bench marks in kilometer. Relative Accuracy is denoted by C symbol.

How to calculate Relative Accuracy for First Order Class II using this online calculator? To use this online calculator for Relative Accuracy for First Order Class II, enter Distance Between Bench Marks (K) and hit the calculate button. Here is how the Relative Accuracy for First Order Class II calculation can be explained with given input values -> 3.5E+6 = 0.7*sqrt(25000).

FAQ

What is Relative Accuracy for First Order Class II?
The Relative Accuracy for First Order Class II formula is defined as 0.7 times the square root of distance measured between bench marks in kilometer and is represented as C = 0.7*sqrt(K) or Relative Accuracy = 0.7*sqrt(Distance Between Bench Marks). Distance Between Bench Marks is the distance measured in kilometer while calculating the accuracy of survey in vertical control.
How to calculate Relative Accuracy for First Order Class II?
The Relative Accuracy for First Order Class II formula is defined as 0.7 times the square root of distance measured between bench marks in kilometer is calculated using Relative Accuracy = 0.7*sqrt(Distance Between Bench Marks). To calculate Relative Accuracy for First Order Class II, you need Distance Between Bench Marks (K). With our tool, you need to enter the respective value for Distance Between Bench Marks and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Relative Accuracy?
In this formula, Relative Accuracy uses Distance Between Bench Marks. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Relative Accuracy = 0.5*sqrt(Distance Between Bench Marks)
  • Relative Accuracy = sqrt(Distance Between Bench Marks)
  • Relative Accuracy = 1.3*sqrt(Distance Between Bench Marks)
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