Welcome to 

Welcome to our "Shadows Around the World" project.  We measure the length of shadow that is cast by a meter stick at Solar Noon.  Participants are welcome. You can do this on any sunny day at  Solar Noon.  After sharing this with your students, you can tell them about Eratosthenes, who will always be remembered for the calculation of the Earth's circumference circa 240 BC, using trigonometry and knowledge of the angle of elevation of the Sun at noon in Alexandria and Syene (now Aswan, Egypt).

 100_7133.JPG (763724 bytes)

A 220 cm shadow was cast by a 100cm stick at Solar Noon on 12/14/2010 

      2010-12-10 005.jpg (444233 bytes)

A 231 cm shadow was cast by a 100cm stick at Solar Noon on 12/18/2010  See more pictures below

Date

Solar Noon UT  

Shadow in cm School Latitude Longitude City

State

Country

Teacher
12/14/2010 17:47:03 220 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
12/18/2010 17:48:59 231 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
12/21/2010 21:49:31  1,280** Hutchison High School 64.8493 -147.8163 Fairbanks Alaska USA Frida Shroyer
 12/17/2010 18:17:00*  213 Talcott Mt  41.8097 -72.8311 Avon Connecticut  USA Tom Alena
 12/21/2010 22:31 500 Chignik Lake School 56.2561 -158.7722 Chignik Lake Alaska USA Marlene Schmitt
 12/28/2010 17:53:56 223 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 1/09/2011 17:59:24 201 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 1/31/2011 18:05:45 175 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 2/4/2011 18:06:14 170 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 3/27/2011 17:57:22 82 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 6/5/2011 17:50 33 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 1/3/2012 17:56:40 204 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 1/5/2012 17:57:37 202 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
 3/6/2012 18:04 106 Morton Arboretum 41.8215 -88.0767 Lisle Illinois USA Greg Lopatka
                   
                   
                   

spring is coming, see my latest pictures below.

* 29 minutes past Solar Noon

From Alaska

**I posted my measurement on Facebook and got the following as a partial reply:

Math - the axial tilt of our fair planet is currently 23.4378, so the Arctic Circle is at latitude ...66.5622. Hutchinson High School is at 64.85 N, or 1.722 south of the point where the length of the shadow is infinite today. Your shadow, today, should be the arctangent of 1.722 = 59.7 meters from your 1.0 meter vertical - really serious bragging rights!!!
The 3 in my last post was a hint at the approximate error in the levelness of your measuring surface - should you wish to challenge your students. :-)

You can find your solar noon here

1. Calculate Solar Noon based on sunrise and sunset times you supply.
2. Calculate Solar Noon based on a specific longitude and date.

I have the solar noon for the Morton Arboretum listed below:

The Morton Arboretum Youth Education Dept., Lisle, IL, US
Longitude: -88.0767 Latitude: 41.8215
Solar Noon
Tue, 06 Mar 2012 18:03:23 UT
Wed, 07 Mar 2012 18:03:09 UT
Thu, 08 Mar 2012 18:02:54 UT
Fri, 09 Mar 2012 18:02:39 UT
Sat, 10 Mar 2012 18:02:23 UT
Sun, 11 Mar 2012 18:02:07 UT
Mon, 12 Mar 2012 18:01:51 UT
Tue, 13 Mar 2012 18:01:34 UT
Wed, 14 Mar 2012 18:01:18 UT
Thu, 15 Mar 2012 18:01:01 UT
Fri, 16 Mar 2012 18:00:43 UT
Sat, 17 Mar 2012 18:00:26 UT
Sun, 18 Mar 2012 18:00:09 UT
Mon, 19 Mar 2012 17:59:51 UT
Tue, 20 Mar 2012 17:59:33 UT
Wed, 21 Mar 2012 17:59:15 UT
Thu, 22 Mar 2012 17:58:57 UT
Fri, 23 Mar 2012 17:58:39 UT
Sat, 24 Mar 2012 17:58:21 UT
Sun, 25 Mar 2012 17:58:03 UT
Mon, 26 Mar 2012 17:57:45 UT
Tue, 27 Mar 2012 17:57:27 UT
Wed, 28 Mar 2012 17:57:09 UT
Thu, 29 Mar 2012 17:56:51 UT
Fri, 30 Mar 2012 17:56:33 UT
Sat, 31 Mar 2012 17:56:15 UT
Sun, 01 Apr 2012 17:55:57 UT
Mon, 02 Apr 2012 17:55:39 UT
Tue, 03 Apr 2012 17:55:22 UT
Wed, 04 Apr 2012 17:55:05 UT
Thu, 05 Apr 2012 17:54:47 UT

 
Longitude:
Use decimal degrees. Enter east longitudes as positive numbers, west longitudes as negative numbers.
Solar Noon at Hutchison High School in Fairbanks Alaska 
Solar Noon
Tue, 06 Mar 2012 22:02:19 UT
Wed, 07 Mar 2012 22:02:04 UT
Thu, 08 Mar 2012 22:01:49 UT
Fri, 09 Mar 2012 22:01:34 UT
Sat, 10 Mar 2012 22:01:18 UT
Sun, 11 Mar 2012 22:01:02 UT
Mon, 12 Mar 2012 22:00:46 UT
Tue, 13 Mar 2012 22:00:29 UT
Wed, 14 Mar 2012 22:00:12 UT
Thu, 15 Mar 2012 21:59:55 UT
Fri, 16 Mar 2012 21:59:38 UT
Sat, 17 Mar 2012 21:59:21 UT
Sun, 18 Mar 2012 21:59:03 UT
Mon, 19 Mar 2012 21:58:45 UT
Tue, 20 Mar 2012 21:58:28 UT
Wed, 21 Mar 2012 21:58:10 UT
Thu, 22 Mar 2012 21:57:52 UT
Fri, 23 Mar 2012 21:57:34 UT
Sat, 24 Mar 2012 21:57:15 UT
Sun, 25 Mar 2012 21:56:57 UT
Mon, 26 Mar 2012 21:56:39 UT
Tue, 27 Mar 2012 21:56:21 UT
Wed, 28 Mar 2012 21:56:03 UT
Thu, 29 Mar 2012 21:55:45 UT
Fri, 30 Mar 2012 21:55:27 UT
Sat, 31 Mar 2012 21:55:09 UT
Sun, 01 Apr 2012 21:54:52 UT
Mon, 02 Apr 2012 21:54:34 UT
Tue, 03 Apr 2012 21:54:16 UT
Frida solstice shadow.JPG (167261 bytes)

Frida measured the shadow of a meter stick at solar Noon on 12/21/2010

solstice shadow meter stick.JPG (160173 bytes)

The Shadow measured 12.8 meters

solstice sun at solar noon.JPG (119280 bytes)

Solar Noon at Hutchison High School in Fairbanks Alaska

lunar eclipse.jpg (465960 bytes)

We had snow and clouds in Illinois, but Friday had clear skies in Fairbanks and captured these beautiful pictures. You can click on this image to see the full resolution picture.

shadow1-31-11.JPG (1344770 bytes)

The solar noon shadow was measured at 163 CM on the last day of January 2011. That is 52 CM shorter since 12/18/2010

2010-12-28 002.jpg (1082936 bytes)

The days are getting longer and our solar noon meter stick shadow is getting shorter. This is the first day that we have had sunshine at solar noon since 12/18/2010.

avon.JPG (1759926 bytes)

Students in Avon, Connecticut measured this shadow 4 days before the Winter Solstice and 29 minutes after Solar Noon.  That may be close to a Solar Noon measurement on the Winter Solstice. The latitude at Talcott Mt is 41 deg 48' 39.37"N, our longitude is 72 deg 47' 55.34"W.

 

100_2545.JPG (2877186 bytes)

100_2525.JPG (2064884 bytes)

On June 5, 2011, the shadow cast by a 100 Cm stick had shrunken to 33cm.

100_7251.JPG (897482 bytes)

On February 1-2, we got hit with 22.1 inches of snow.  I finally got down to the pavement on 2/4/2011 so that I could measure the solar noon shadow.  I rigged up a 2x4 to hold the meter stick pointing to the zenith.  The solar noon shadow was measured at 159 CM on the 4th day of February 2011. That is 56 CM shorter since 12/18/2010.  Will we get to 35CM on the summer solstice like we did in 1999?

I posted Blizzard pictures here.

100_7115.JPG (2559304 bytes)

January 3, 2012, we had 1 cm of snow yesterday, but it is gone todayThe shadow of a 100 cm stick was 205cm.

100_3268.JPG (1451171 bytes)

We finally got some sun on the winter solstice in 2012.  I put my grandson to work after his Christmas play.  The clouds came just at we got to solar noon.  The shadow was over 200 cm.

   
   

The following page was posted in 1999

Welcome to Shadow Measurement page

This project was conceived at the GLOBE Charleston workshop in October 1999.
Students will measure the length of the shadow that is cast at solar noon by a  meter stick (100 cm.) that is perpendicular to the ground. We are looking for students with different Latitudes to send us data.

 
1. Place a Meter stick perpendicular to the pavement and trace the shadow
          at  Solar noon.
2. Use a compass to record the direction that the shadow is pointing.
(It should be pointing north if it is Solar Noon.)
3. Measure the length of the shadow and e-mail it to Mr. Greg Lopatka
      at:     g.lopatka@comcast.net
        along with your latitude, longitude, date and time.
4. Answer the questions below.
 

Your GPS unit can be used to determine the exact time.  This is a great time to make your cloud observations.
Some questions for students:

  1. Will Latitude make a difference in the length of the shadow?
  2. Will Longitude make a difference in length of the shadow?
  3. Why are we measuring at Solar noon?
  4. What time of year will the shadow be the longest?
  5. What time of year will the shadow be the shortest?
  6. What time of day will the shadow be the shortest?
  7. What direction will the shadow point to?


Go to the following site to find your Sunrise, Sunset and Solar noon times:
http://www.cmpsolv.com/los/sunset.html


Check out the short shadow on the first day of summer!
 
Data Chart
Date
Universal Time
School
Latitude/Longitude
Length of Shadow 
Direction of Shadow
City, State
10/26/99
17:33 
Randolph
41'46"N/87'41"W
137cm
North
Chicago, IL
11/04/99
 17:33
 Randolph
 41'46"N/87'41"W
 150cm
 North
Chicago, IL
 11/15/99
 17:33
Randolph 
 41'46"N/87'41"W
 171cm
 North
Chicago, IL
11/23/99 
 19:46   Cascade Christian 
 Acadamy
47'24"N/120'12"W 
238 cm 
North
Wenatchee, 
    WA
11/24/99
17:34
Randolph
41'46"N/87'41"W
193 cm
North
Chicago, Il
 11/29/99
 17:39
 Randolph
41'46"N/87'41"W 
 195 cm
North
Chicago, IL
11/30/99
19:49
Cascade Christian
47'24"N/120'12"W
254 cm
North
Wenatchee, 
    WA
12/1/99
17:40
Randolph
41'46"N/87'41"W
198 cm
North
Chicago
12/18/99
17:55
Randolph
41'46"N/87'41"W
216 cm
North
Chicago
12/16/99
19:56
Cascade
47'24"N/120'12"W
285 cm
North
Wenatchee
12/20/99
19:58
Cascade
47'24"N/120'12"W
312 cm
North
Wenatchee
1/5/00
17:56
Randolph
41'46"N/87'41"W
219 cm
North
Chicago
6/21/00
17:52
Randolph 41'46"N/87'41"W
35 cm
North
Chicago
             
             
             
1

 

You can Repeat Eratosthenes' Experiment by going to the following site for instructions:

http://www.juliantrubin.com/bigten/eratosthenes.html

 

To E-mail the Web master, just click here! g.lopatka@comcast.net

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