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Uploaded by ProfessorAtom13334
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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