Surveying Module 3: Measurement of Distance by Pacing

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Questions and Answers

What is a pace in surveying defined as?

  • The length of a step in walking from heel to toe (correct)
  • The length of a step in walking from toe to toe
  • Half the length of a step in walking
  • Twice the length of a step in walking

How is a stride defined in terms of paces?

  • Equivalent to half a pace
  • Equivalent to one pace
  • Equivalent to two paces (correct)
  • Equivalent to three paces

What is the relative precision of pacing under average conditions?

  • 1/200 (correct)
  • 1/250
  • 1/150
  • 1/100

Which method is used in surveying to determine approximate distances where low precision is acceptable?

<p>Pacing (D)</p> Signup and view all the answers

What is the definition of a pace factor in surveying?

<p>The ratio of actual distance to paced distance (A)</p> Signup and view all the answers

Which term best describes the length of a step in walking in surveying?

<p>Pace (D)</p> Signup and view all the answers

What is the first step required to pace a distance?

<p>Find the length of one's pace (pace factor) (D)</p> Signup and view all the answers

Which factor is NOT mentioned as affecting the length of a pace?

<p>Duration of each trial (B)</p> Signup and view all the answers

What unit is used to express the pace factor?

<p>Meters per pace (D)</p> Signup and view all the answers

In determining the pace factor, why is it advisable to take at least five or more trials?

<p>To get a more accurate average number of paces (C)</p> Signup and view all the answers

What is the pace factor if a surveyor takes 60 paces to cover a distance of 50 meters?

<p>$0.833$ m/pace (A)</p> Signup and view all the answers

If a surveyor took 770, 772, 775, 769, 773, and 771 paces for an unknown distance with a pace factor of $0.865$ m/pace, what would be the length of that line?

<p>$711.8$ meters (C)</p> Signup and view all the answers

Flashcards

Pace in surveying

The length of a step in walking from heel to toe.

Stride

Equivalent to two paces.

Precision of pacing

1/200 is the relative precision under average conditions.

Method for approximate distances

Pacing is used for determining approximate distances where low precision is acceptable.

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Pace factor

The ratio of actual distance to paced distance in surveying.

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Length of a step

A pace describes the length of a step in walking.

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First step in pacing

Find the length of one's pace (pace factor).

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Length of a pace unit

Pace factor is expressed in meters per pace.

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Trials for pace accuracy

Take at least five or more trials for more accurate average number of paces.

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Pace factor example

If a surveyor takes 60 paces to cover 50 meters, the pace factor is 0.833 m/pace.

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Length calculation from pacing

If a surveyor took a known pace factor and number of paces, calculate total distance.

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Length of line from paces

Using 770 to 775 paces with a pace factor of 0.865, the length is 711.8 meters.

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Study Notes

Measurement of Distance by Pacing

  • Measurement of distance is a fundamental operation in plane surveying, requiring accurate determination of the distance between two points on any surface.
  • There are eight methods of determining distance: pacing, taping, tachymetric, graphical, mathematical, mechanical, photogrammetric, and electronic distance measurement.

Pacing Method

  • Pacing involves counting the number of steps or paces in a required distance to determine approximate distances with low precision.
  • A pace is defined as the length of a step in walking, measured from heel to heel or toe to toe.
  • A stride is equivalent to two paces or a double step.

Factors Affecting the Length of a Pace

  • Speed of pacing affects the length of a pace.
  • Roughness of the ground affects the length of a pace.
  • Weight of clothing and shoes used affects the length of a pace.
  • Fatigue on the part of the pacer affects the length of a pace.
  • Slope of the terrain affects the length of a pace.
  • Age and sex of the individual affect the length of a pace.

Determining the Pace Factor

  • To determine the pace factor, walk along a line with known length on level ground.
  • Take at least five trials to determine an accurate value of the average number of paces.
  • Divide the known distance by the average number of paces to get the pace factor.
  • Pace factor is expressed in meters per pace (m/pace).
  • It is essential to walk naturally when determining the pace factor.

Sample Problems

  • To determine the pace factor, add the number of paces from each trial and divide by the number of trials.
  • To determine the length of a line, multiply the number of paces by the pace factor.

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