• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Measuring the Height of the PhysicsTower.

Extracts from this document...

Introduction

image06.pngMeasuring the Height of the Physics Tower

Introduction:

        This assignment deals with the measurement of the height of the main tower of the Physics and Astronomy Building.  In order for this to be somewhat a challenge, the equipment available to first year students isn’t sophisticated at all.  However, this calls for creativity and some thinking.  There are many methods that one could use to measure the height and they all require basic tools and none in some cases.  There are four methods that are considered to be easy to perform.  First, one could drop an object from above and using the known acceleration and time measured could find the height. However, errors like unknown air resistance and wind could change the actual result.  Secondly, one could count the number of blocks making the building and multiply them by the individual length. This method relies on the assumption that all the blocks

...read more.

Middle

Results:

Run

Distance Away (x)

Angle (Ө)

Person’s Height

1

23.05 m

69°

1.58 m

2

33.64 m

58°

1.58 m

3

46.85 m

52°

1.58 m

4

21.50 m

70°

1.70 m

5

28.10 m

63°

1.70 m

6

49.23 m

49°

1.70 m

Note that the value of (x) or the person’s height are measured up to two decimal digits according to the tape measure used.  Also the angle has been rounded off to the nearest since the protractor doesn’t provide a better precision than one single degree.

Calculations:

The total height of the tower is basically the height of the person in addition to the height of the remainder of the building. The height is considered to be from the main floor of McLennan Physical Laboratories Building and up to the top of the Burton tower excluding the secondary structure at the top.  According to the diagram above, we can use trigonometric ratios to find H1 and then add it to H2

...read more.

Conclusion

Sample Run Error Calculation (Run # 4):

image13.png

image14.png

image15.png

image16.png

image08.png

Errors for other runs were computed in the same manner, the following was obtained:

Run 1: ±0.89 m        

Run 2: ±0.96 m        

Run 3: ±1.18 m

Run 4: ±0.87 m

Run 5: ±0.90 m

Run 6: ±1.19 m

After some analysis, it is found that the average reading error is 1.00 m with 0.15 m standard deviation.

Random Error:

The random error could be done by saying that the error is half of the last digit that the instrument reads. So for x its ±0.005 m (0.5 cm) and for Ө its ±0.5°.  Using the same equation used above, we could find the random error in each run.

Run 1: ±0.45 m        

Run 2: ±0.48 m        

Run 3: ±0.59 m

Run 4: ±0.43 m

Run 5: ±0.45 m

Run 6: ±0.60 m

After some analysis, it is found that the average reading error is 0.50 m with 0.08 m standard deviation.

It is obvious to see that the reading error is exactly double of the random error. To obtain net error, one must add the two means of the two different errors for total error.

Conclusion:

        The height of the Physics and Astronomy building is 59.08 ± 1.50 m.

...read more.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

  1. Investigation between the height and the weight of a sample of students.

    I will later in my investigation take each year in turn. I will take 30 students from the school but I will make have to make sure I minimise the possibility of having biased results and making sure that every student has equal opportunity in being selected.

  2. GCSE Physics Coursework

    millimetre; this should provide an appropriate level of accuracy to prove that the deflection is proportional to the mass applied � 1 wooden 50cm ruler -I will use a ruler with millimetre and centimetre markings so that the deflection can be measured to the nearest millimetre; this should provide an

  1. The effect of drop jump height on spinal shrinkage.

    A one-way analysis of variance revealed no significant main effect (P < 0.05) for block height on PGRF, therefore indicating no significant difference between blocks 1 and 2 on peak ground reaction forces (N). A linear regression, Pearson's test was conducted between peak ground reaction force (N)

  2. Data Analysis Investigation-Higher Tier

    81 98 75 84 65 73 99 66 96 Female Year 7 Height (Cm) Male Year 7 Height (Cm) 28 170 86 170 32 165 57 137 55 165 79 164 35 170 91 166 11 152 81 167 25 155 98 170 46 170 75 152 27 155 84

  1. Method of measuring physical performance

    Most men and women have an equal combination of both slow twitch and fast twitch fibers. However, some people inherit a high percentage of slow twitch fibers that enhance their performance in endurance activities, such as long distance runners. Most world class marathon runners have a very high amount of slow twitch fibers.

  2. The aim of this report is to look at the factors and considerations unique ...

    The thirty four ton caissons were wedge shaped to form cutting edges with earth hoisted out of airlocks. 40,500 cubic yards of earth were removed from the four sites, it was only then, the foundations were actually laid. Each pier would rest on cement and stone laid obliquely so that

  1. Is It Possible To Measure Height With a Rotary Potentiometer?

    With further contemplation and inspiration I devised the following plan: using the laws of trigonometry, I would invent a devise to measure the height of a building from a certain distance. It took many more hours of deep and analytical thought before the following experiment came to mind.

  2. Data analysis.

    Diagram: Finding the Data: There is a lot of information in the data book to take in all at once so I have chosen to take a stratified sample. I want my data to be fairly selected so I am planning on taking 10% of girls from each year and 10% boys from each year.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work