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Measuring the distance with a wristwatch
Author: MestniKov Marat Pavlovich,
pupil of 5th "a" grade
Municipal Budgetary General Education Establishment, elementary school Number 18
2 слайд
Content:
Chapter 1. The theoretical part of the work
1.1 Algorithm for measuring distance using a wristwatch;
1.2 Proof of the correct measuring method basing on Geometry’s laws.;
1.3 Ways to measure your own pitch.
Chapter 2. Practical part of the work
2.1 Measurement of distance using a wristwatch;
2.2 Measurements of distance using a tape measure;
2.4. Comparison of the obtained data and determination of the measurement accuracy
3 слайд
actuality
Any person may need to measure the length of the distance from the place he stands to the definite object. For example, If a tourist wants to study new places. For this case it’s better and exact to use special means (laser range – finder, range – finder scales of optic devices etc.), but such special means can’t present at that moment. That is why at that situations can be used a watch. Wristwatch can be used to define the width of the difficult traverse or to define none access full places and obstacles (rivers, lakes and marshes). This is the main actuality of this topic.
4 слайд
The novelty
Measurements of distances without special equipment, mostly used by the military. The novelty of this topic is that military topography has not yet used the method of measuring distances with a wristwatch
5 слайд
Practical meaning:
You can avoid many unforeseen situations during hiking, when overcoming water, mountain obstacles, etc., if you learn to accurately determine the distance using a wristwatch
6 слайд
Hypothesis:
To accurately measure the distance with a wristwatch, it is necessary to evaluate the results considering the error
7 слайд
Purpose of the report :
To study the exactness of distance measuring using a wristwatch.
to study literature and other sources about this theme;
to create the method of measuring the distance using a wristwatch;
to prove the correctness of measuring;
to measure the distance using a wristwatch on a definite area;
to make definite calculations;
to definite the exactness of calculations;
to come to the conclusion.
The methods of research in this work are the analyses of literature, the measuring of distances, proving the correctness of measuring, calculations and the analyses of the conducted work.
The main purposes of the report:
8 слайд
Algorithm for measuring distance using a wristwatch
Make the clock pattern so that the hands of the clock show 3 hours exactly, and the second hand would be 7 minutes and a half minutes from the minute hand.
Select the starting point (further point A) on the terrain so that it can be seen from the point to which you want to measure the distance (further point B), and it was possible to pass a sufficient distance for measurement along the perpendicular to the segment AB.
9 слайд
3. At point A, the clock is held so that the hour hand points to point B. Then the minute hand shows the direction along the perpendicular.
4. Directing the perpendicular, we count the number of steps to point C, i.e. until the minute and second hands of the clock point to points A and B in any order.
5. We measure the approximate step.
6. Calculate the number of steps multiplied by an approximate step and thereby calculate the distance from point A to point B.
10 слайд
Proof of the correct measuring method basing on Geometry’s laws.
Pic.2. Rectangle in an isosceles triangle
11 слайд
Ways to measure your own pitch
The first way:
Д=(Р/4)+0,37,
Д - length of one step in meters
Р - height of a person in meters.
Total, my height of 1.48 m, means the length of my step
Д=1,48:4+0,37=0,74 м.
12 слайд
Ways to measure your own pitch
The second way:
We measure the arithmetic mean of our own step according to the formula:
hср=(h1 + h2 + h3 + h4 + h5):5,
hср = (71 + 72 + 74 + 65 + 77) : 5 = 359 : 5 = 71,8 см 72 см = 0,72 м.
13 слайд
Measuring the distance with a wristwatch
Number of steps
14 слайд
The calculated number of steps is multiplied by an approximate step and by this we calculate the distance we need
AC =35*73 см = 2555см = 25 м 55см =>
АВ = 25 м 55 см.
15 слайд
Measuring distances with a tape measure
For comparison with previous results, found by measuring the distance with a wristwatch, more reliable measurements are needed, for example, measurements using a tape measure.
As can be seen, unequal segments were obtained, which indicates the existence of a measurement error.
16 слайд
Comparison of the obtained data and determination of the measurement accuracy
АВ = 30м 43см - results of measurement using a roulette. We will consider this value to be true.
АВ = 25 м 55 см - measurement results with the help of a watch.
Let's find the difference: 30м 43см - 25 м 55 см = 4м 88см .
This means the measurement error: +-5м.
Total, АВ = 25 м 55 см +- 5м, means distance is equal from 20 м 55 см до 30 м 55 см.
17 слайд
Conclusion:
While measuring we learnt that the result that is not exact and it was given as an interval. Firstly it depends on the weather of the day: cold, wind, fog.
In future this work may be added with the measuring held in different conditions.
18 слайд
Hide
Stuffed ducks
19 слайд
List of sources used:
https://ru.m.wikipedia.org/wiki/Теорема_о_сумме_углов_треугольника
www/treugolniki.ru
http://miltop.narod.ru/Distance/other.htm
https://ru.m.wikipedia.org/wiki/Точность
https://ru.wikipedia.org
https://dic.academic.ru
http://sodpm.ru
www.kakras.ru/mobile/txt/izmerenie-rasstoyanij-na-mestnosti.html
20 слайд
Thank you for attention!
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