Copy of Estimating Angles

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Orange Coast College *

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Physics

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Feb 20, 2024

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pdf

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Name: Natalie Zordani Date: February 5 2024 Class: ASTR100L Estimating Angles Instructions: Work with your group to answer the following questions. Estimate the angular size subtended by your pinky finger. Work with your group to estimate the angular sizes and distances of classroom objects. Part 1: Background Information 1. How many centimeters make up a meter? 100 How many millimeters in one centimeter? 10 How many millimeters in a meter? 1000 Figure 1: Portion of a meter stick 2. Fill in the table below. Radians Degrees Arc Minutes Arc Seconds 1 Circle is… 2pi 360 21600 1296000 1 Radian is… 1 57.3 3437.8 206265 Table 1: Angle Conversions 3. Label the following diagram. Figure 2: Angular Size 1
Name: Natalie Zordani Date: February 5 2024 Class: ASTR100L 4. What is the relationship between an object’s size, distance, and the angle it subtends in your field of vision? the relationship between an object's size, distance, and the angle it subtends in your field of vision is the formula Θ =D/d, Θ being the angle it subtends in your field of vision, D being the objects size, and d being the distance. VALUE +- ERROR AVERAGE VALUE +- ERROR ERROR-> %ERROR AND/OR %DIFFERENCE Part 2: Angular Size of Your Pinky Finger 5. Get a ruler. Measure the width of your pinky finger in millimeters. This would be the distance across the top of your pinky finger (not the length of your pinky fingernail). Width of Pinky: _________13______ mm 6. Using a meter stick, measure the distance between your pinky finger and your eyes. You need to measure this distance with your arm fully outstretched. Hold your arm straight and have your lab partner measure this distance for you. Distance between pinky and eye: ___________660.4__________ mm 7. What is the ratio of the width of your pinky to the distance between your eye and pinky? Ratio = width of pinky/distance between pinky and eye: _________.02___________ 8. What angle does your pinky subtend when your hand is outstretched? Give your answer in radians, degrees, and arc seconds. Angular size of pinky: ___________.02__________ rad Angular size of pinky: ___________1.146__________ degree Angular size of pinky: ____________4125.3___________ arc seconds 9. Compare answers with all of your group members. Record the largest and smallest angular pinky sizes for your group. Use degrees as your unit. Find your group’s average pinky angle and find the percent difference for your group. (Show your work when computing the percent difference) 2
Name: Natalie Zordani Date: February 5 2024 Class: ASTR100L Group Member Name Angular Pinky Size natalie 1.146 diana 1.2 david 1.587 Table 2: Group Comparison Largest pinky size: _____________1.587__________ degree Smallest pinky size: ___________1.146____________ degree Average of all group members: ___________1.311____________ degree 𝑃?????? 𝐷𝑖???????? = 𝐿𝑎????? ?𝑖𝑧? − 𝑆?𝑎????? ?𝑖𝑧? | | 𝐴𝑣??𝑎?? ?𝑖𝑧? × 100 Percent Difference: ____________33.64___________ % 10. Why did we use percent difference instead of percent error when comparing the angular sizes of all group members? you cannot have correct accuracy while measuring from the eye, so using precision would be a better measure of finding similar answers. 3
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