Survey Engineering

Theodolite Repeated Angular Measurement Standard Deviation Estimator calculator

Theodolite Repeated Angular Measurement Standard Deviation Estimator engineering calculator.

Quick Answer

Calculate Theodolite Repeated Angular Measurement Standard Deviation Estimator

Calculator

Angular measurement standard deviation (rad)
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Result Interpretation

Theodolite Repeated Angular Measurement Standard Deviation Estimator calculator computes Angular measurement standard deviation in rad using the defined engineering formula and the input values provided. Angular measurement standard deviation is expressed in rad. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Number of repeated observations = 4
  • Sum of squared deviations from mean angle = 0.00012

Expected Result:

  • Angular measurement standard deviation = 0.0063245553203368

Engineering Interpretation:

Under the given input conditions, the calculated result is: Angular measurement standard deviation = 0.0063245553203368 rad.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

angular measurement standard deviation = sqrt((1.0 / (number of repeated observations - 1.0)) * sum of squared deviations from mean angle)

Formula family: formula_survey_theodolite_angular_measurement_standard_deviation_estimator_repeated_observations

Variables

SymbolLabelRoleDescription
n Number of repeated observations INPUT Number of repeated observations
sum_sq_diff Sum of squared deviations from mean angle INPUT Sum of squared deviations from mean angle
result Angular measurement standard deviation OUTPUT Angular measurement standard deviation

Calculation Steps

  1. Enter the number of repeated observations in dimensionless.
  2. Enter the sum of squared deviations from mean angle in rad².
  3. Step 1: Compute angular measurement standard deviation.
  4. Read the angular measurement standard deviation (rad) from the results.

Engineering Summary

Calculate Theodolite Repeated Angular Measurement Standard Deviation Estimator

Frequently Asked Questions

What does this calculator calculate?

The Theodolite Repeated Angular Measurement Standard Deviation Estimator calculator estimates Angular measurement standard deviation based on the input parameters you provide

Why is number of repeated observations important in this calculation?

number of repeated observations is used directly in the calculation of angular measurement standard deviation. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter number of repeated observations in dimensionless, the calculator uses it in the engineering formula to compute the output

How should I interpret the result angular measurement standard deviation?

The calculator outputs angular measurement standard deviation in rad. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Number of repeated observations (dimensionless), Sum of squared deviations from mean angle (rad²). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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