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Related Concept Videos

The Distance Formula01:20

The Distance Formula

In geometry, measuring the direct distance between two points on a plane is essential in various practical and theoretical applications. Whether in navigation, engineering, or computer graphics, determining the shortest path between two locations involves using the distance formula. This formula is derived from the Pythagorean Theorem, which relates the lengths of the sides of a right triangle. On a coordinate plane, the horizontal and vertical distances between two points serve as the legs of...
Distance Problem01:29

Distance Problem

When an object's velocity changes over time, the total distance traveled can be determined by summing small displacement intervals over short increments. This approach approximates the true distance through numerical summation and the use of integral calculus. An estimate of the total displacement can be obtained by measuring velocity at regular intervals and multiplying each value by the corresponding time step.If a runner accelerates over the first three seconds of a race, speed measurements...
Design Example: Measuring Distance Between Two Points with Obstructions01:10

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When measuring distances in areas with physical obstructions, such as a lake in a field, surveyors must employ techniques to calculate accurate lengths without direct line measurements. One effective method is the offset technique, which allows for precise distance estimation over inaccessible stretches.In this scenario, a surveyor must measure a side of an area that crosses a lake. Since the measuring tape cannot span the lake, the surveyor begins by establishing a baseline that aligns with...
Trapezoidal Rule01:26

Trapezoidal Rule

Estimating the distance traveled by a vehicle using its recorded velocity over time is a common problem in physics and engineering. When velocity data is available at discrete time intervals, rather than as a continuous function, numerical integration methods such as the trapezoidal rule are often employed to approximate the total displacement.The trapezoidal rule works by dividing the total time interval into several equal segments. Within each segment, the recorded velocities at the endpoints...
Area Computation by the Alternative Coordinate Method01:24

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The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
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Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
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A criterion method for measuring route distance in physically active commuting.

Peter Schantz1, Erik Stigell

  • 1The Research Unit for Movement, Health and Environment, The Astrand Laboratory, GIH-The Swedish School of Sport and Health Sciences, Stockholm, Sweden. peter.schantz@gih.se

Medicine and Science in Sports and Exercise
|January 20, 2009
PubMed
Summary

Physically active commuters drawing their routes on maps provides a valid and reproducible method for measuring commuting distances. This approach, combined with digital curvimetric tools, establishes a reliable criterion for distance assessment.

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Area of Science:

  • Transportation science
  • Public health
  • Geographic information systems

Background:

  • Accurate measurement of route distances is crucial for physically active transportation research.
  • Existing methods may lack reliability or feasibility for commuters.

Purpose of the Study:

  • To evaluate the validity and reproducibility of using commuter-drawn routes for distance measurement.
  • To assess the efficacy of a digital curvimetric device in measuring these routes.

Main Methods:

  • 133 participants in Stockholm drew their commuting routes on maps.
  • Routes were measured using a digital curvimetric device, validated for accuracy.
  • Global positioning system (GPS) data from 19 participants were used for comparison.

Main Results:

  • Distance measurements showed high test-retest reliability (intraclass correlation coefficient = 0.999).
  • Map markings for origins and destinations were accurate and reproducible.
  • Deviations between drawn routes and GPS data were minimal (0.4%) and did not significantly impact distance measurements.

Conclusions:

  • Commuter-drawn routes on maps offer a valid and reproducible basis for measuring physical activity transportation distances.
  • This method, coupled with digital curvimetric measurement, presents a potential criterion standard for route distance assessment.