lab 5 report docx filled out

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Cecil College *

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103

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Astronomy

Date

Apr 3, 2024

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docx

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8

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The Parallax Experiment 11/13/2022 1. Replace the red text at the top of this page with your name and the date. 2. As you enter your work, please make sure that your answers stay red ( like this ). This will make them easier to see, and thus it will be easier for us to grade them accurately. To convert black text to red , highlight it and then click on the “ A ” symbol in the menu bar above, to the right of the “ B ”, I ”, and “ U ” symbols. Select the red square to turn your highlighted text red . 3. Delete these 3 initial instructions from this template as soon as you have followed them. Taking Parallax Measurements 1. Estimate the distance to the horizon, or to a distant landmark in line with your measuring device and your object at Position 1, by eye. I estimate the distance is 400 feet by eye Table 5.2: Direct Measurements of Distance Distances from observer to object, in inches, to the nearest half-inch. Position 1 Position 2 Position 3 120 240 360 (Distance from observer and apparatus to three foreground objects.) 2. Estimate the uncertainty in your measurement of the object's apparent shift. For example, do you think your recorded measurements could be off by ten degrees? One degree? One tenth of a degree? There is some uncertainty, so I would guess that the measurements could be off by about 4 degrees. Table 5.3: Parallax Measurements Record angles to the nearest tenth-degree, distances to the nearest half-inch.
Angle 1 ( ° ) 1 Angle 2 ( ° ) 2 2α ( ° ) 3 α ( ° ) r/d 4 d (in) 5 Trial 1 Posn. 1 87 80 7 3 .061 196.1 Posn. 2 86 85 2 5 .017 658.7 Posn. 3 87 86 1 .5 .008 1379.3 Trial 2 Posn. 1 90 80 10 5 .087 137.1 Posn. 2 90 85 5 2 .004 2745 Posn. 3 90 87 3 1 .026 457 Trial 3 Posn. 1 85 76 9 4.5 .078 152.5 Posn. 2 85 80 3 1.5 .026 457 Posn. 3 85 83 2 1 .017 685 Dependence of Parallax on Vantage Point Separation 3. What would happen if the vantage points were farther apart? We separated our vantage points by two feet, to simulate the two astronomical units by which the Earth shifts position over a six month period. What if we had used a separation of ten feet instead? How would you expect the angular shift of the object (the difference between Angle 1 and Angle 2) to change? The difference between the angle of something in the fixed background and the object would be greater than it is now. 4. By how many degrees did the object move using the more widely 1Landmark angle. 2Foreground object angle. 32 α = Angle 1 - Angle 2. 4r/d values can be looked up in Table 5.4. 5d = r / (r/d), where 2r is the vantage point separation (24 inches).
separated vantage points? I would guess that it moved 8 degrees. 5. For an object at a fixed distance, how does the apparent shift change as you observe from more widely separated vantage points? The shift changes because it increases in distance Measuring Distances using Parallax 6. The apparent shift of the object is caused by looking at the object from two different vantage points. Qualitatively, what do you see changing from viewpoint to viewpoint? As a foreground object moves farther away from you, does its apparent shift increase or decrease? the viewpoint changes with different objects but the foreground move further away with the shift change 7 . Based on your estimate of the uncertainty in the angular measurements of 2α, estimate the uncertainty in your measurements of the object distances. I would estitmate the uncertainty to be about 4 inches 8 . Now look at the spread in the three values for each position in the last column of Table 5.3. Is this spread consistent with your estimated uncertainty? The spread is consistant but it does leave some room for error, give or take 9 . Now compare the distances that you calculated for each position using the parallax method to the distances that you measured directly at the beginning of the experiment (in Table 5.2). How well did the parallax technique work? Are the differences between the direct measurements and your parallax-derived measurements within your errors (within 2 σ )? I think the parallax measurements worked because theyre within the 2 deviations
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