Develop an error budget for the angle observations. We will have calibrated the tribxachs and plummets, so you can assume that the centering error is0.5 mm.The lines of sight will be2,670 m,the internal instrument reading precision will be 1 ", and the operator precision will be2.5′′.We will assume zero horizontal refraction. Assume that the target is a highly visible arrow-type pattern and is I mm wide, so we have that much impact on the angle. Using such a target, our phase error should be zero. Calculate the standard deviation of a traverse angle for one set of angle observations, i.e., face left and face right observations. If we read the angles using four sets, what would the standard deviation be? What would the standard deviation be if we read 8 sets of angles? Show your working and justify your conclusions. Develop an error budget for the angle observations. We will have calibrated the tribrachsand plummets, so you can assume that the centering error is 0.5 mm. The lines of sight willbe 2,670 m, the internal instrument reading precision will be 1", and the operator precisionwill be 2.5". We will assume zero horizontal refraction. Assume that the target is a highlyvisible arrow-type pattern and is I mm wide, so we have that much impact on the angle.Using such a target, our phase error should be zero. Calculate the standard deviation of atraverse angle for one set of angle observations, i.e., face left and face right observations.If we read the angles using four sets, what would the standard deviation be? What would thestandard deviation be if we read 8 sets of angles? Show your working and justify yourconclusions.

To calculate the standard deviation of a traverse angle for a set of angle observations, we need to…

Answered: Develop an error budget for the angle…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Develop an error budget for the angle observations. We will have calibrated the tribxachs and plummets, so you can assume that the centering error is

0.5 mm.

The lines of sight will be

2,670 m,

the internal instrument reading precision will be 1 ", and the operator precision will be

2.5′′.

We will assume zero horizontal refraction. Assume that the target is a highly visible arrow-type pattern and is I mm wide, so we have that much impact on the angle. Using such a target, our phase error should be zero. Calculate the standard deviation of a traverse angle for one set of angle observations, i.e., face left and face right observations. If we read the angles using four sets, what would the standard deviation be? What would the standard deviation be if we read 8 sets of angles? Show your working and justify your conclusions.