<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-473030066087207649</id><updated>2011-07-08T01:25:10.267-07:00</updated><title type='text'>News at ModelRockets.us</title><subtitle type='html'>What's new at ModelRockets.us. Site dedicated to inform model rocket enthusiasts of all ages and experience about new product releases and general model rocket information technical information.</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://modelrocketnews.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://modelrocketnews.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>ModelRockets.us</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>4</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-473030066087207649.post-8094286282787979398</id><published>2010-07-07T12:15:00.000-07:00</published><updated>2010-09-07T20:03:28.163-07:00</updated><title type='text'>New Staging Kits Released</title><content type='html'>&lt;br /&gt;Origianally we decided to standardized the motor mounts of our .99 diameter kits so that we could produce interchangable stage kits to work with a variety of rocket kits.&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb6cim8_AI/AAAAAAAAAFk/6i8Z_CaQeP4/s1600/medium_mr_01006.jpg" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="200" ox="true" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb6cim8_AI/AAAAAAAAAFk/6i8Z_CaQeP4/s200/medium_mr_01006.jpg" width="200" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;Early on we released the Boostar-C and Boostoh staging kits to fit the .99 diameter rockets including the Centauri, Super Centauri, Super Tooboh and Sword kits. All of these flew very well on either the Boostar-C or the Boostoh stages...So some very interesting combinations of these kits can be flown with either of these stages. Pretty much you can interchange them in any configuration as long as they are used in a&amp;nbsp;2 stage configuration.&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb80HBSE5I/AAAAAAAAAF8/SFv2Z6XSv9A/s1600/medium_mr_01010.jpg" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" height="200" ox="true" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb80HBSE5I/AAAAAAAAAF8/SFv2Z6XSv9A/s200/medium_mr_01010.jpg" width="200" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;Later we started to test the Boostar-C in some 3 stage configuration and these flight were successfull using the Centari and Super Centauri&amp;nbsp;with 2 Boostar-C stages and the Super Tooboh with 1 Boostoh and 1 Boostar-C stage. Although the flights were very stable the rockets tended to have flights that veered more into the wind than we'd like to see. This was due to&amp;nbsp;the weight of the rocket with the 2 additional stages and motors which&amp;nbsp;resulted in a liftoff that was too slow.&lt;br /&gt;&lt;br /&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;a href="http://4.bp.blogspot.com/_Oxt6Tu4ix_0/TIb7RKrTghI/AAAAAAAAAFs/lvzDUMq_BXA/s1600/medium_mr_01016.jpg" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="200" ox="true" src="http://4.bp.blogspot.com/_Oxt6Tu4ix_0/TIb7RKrTghI/AAAAAAAAAFs/lvzDUMq_BXA/s200/medium_mr_01016.jpg" width="200" /&gt;&lt;/a&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb7b7NbqiI/AAAAAAAAAF0/OuWsOzJACdY/s1600/medium_mr_01025.jpg" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" height="200" ox="true" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb7b7NbqiI/AAAAAAAAAF0/OuWsOzJACdY/s200/medium_mr_01025.jpg" width="200" /&gt;&lt;/a&gt;Recently we&amp;nbsp;tested a D version of the Boostar callled the Boostar-D. Wev'e had some great high flights using the Boostar-D as the bottom stage of&amp;nbsp; a 3 stage combination on some of the .99 diameter ModelRockets.us kits. The extra power of a D motor has resulted in a much better lift off velocity and much straighter flights in moderate winds. Currently we have tested and recommend that Super Centauri and Super Tooboh can flown with great results using either a Boostar-D as the first stage and either&amp;nbsp;the Boostoh or a Boostar-C as the second stage. &lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;For more information go to &lt;a href="http://www.modelrockets.us/"&gt;ModelRockets.us&lt;/a&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/473030066087207649-8094286282787979398?l=modelrocketnews.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='enclosure' type='' href='http://www.modelrockets.us' length='0'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/8094286282787979398'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/8094286282787979398'/><link rel='alternate' type='text/html' href='http://modelrocketnews.blogspot.com/2010/07/new-staging-kits-released.html' title='New Staging Kits Released'/><author><name>ModelRockets.us</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://3.bp.blogspot.com/_Oxt6Tu4ix_0/TIb6cim8_AI/AAAAAAAAAFk/6i8Z_CaQeP4/s72-c/medium_mr_01006.jpg' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-473030066087207649.post-4756492726789576034</id><published>2009-11-01T17:50:00.000-08:00</published><updated>2010-07-12T15:40:54.703-07:00</updated><title type='text'>Understanding Model Rocket Stability</title><content type='html'>Model rockets are stable when they move under power in the direction that they are initially pointed. Similar to an arrow, a model rocket has fins on a long body. The fins add a large surface area to the rear of a model rocket that increases the air resistance and moves the center of this resistance towards the rear of the rocket. The center of all the resisting forces on a model rocket is called the center of pressure.&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;div&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su4xb0VnDSI/AAAAAAAAAD8/_Mf4blZT3Ag/s1600-h/stable.gif" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su4xb0VnDSI/AAAAAAAAAD8/_Mf4blZT3Ag/s200/stable.gif" vr="true" /&gt;&lt;/a&gt;A model rocket or any object moving through the air will rotate around its axis at the center of the weight distribution. This is called the center of gravity. This is where the rocket balances horizontal to&amp;nbsp; the ground when you hold it loosley by the tips of two&amp;nbsp;of your fingers. On a model rocket, the center of pressure (CP) needs to be behind the center of gravity (CG) for the rocket to be stable.&lt;/div&gt;&lt;br /&gt;As a rocket is pushed through the air, the&amp;nbsp;center of air resistance (CP), rotates behind the center of rotation (CG), causing the rocket to point forward. Because of this action, the rocket is pointed into the relative wind during flight.&lt;br /&gt;&lt;br /&gt;Generally, the distance the CG should be ahead of the CP is equal to 1 or 2 times the diameter of the body of the rocket. Being closer than this could cause the rocket to wobble or even try to reverse its direction by looping in flight. Being farther than this could cause the rocket to be overly stable and veer off into a moderate wind instead of going straight up. This behavior is called “weather-vaning.” Of the two options, over stability is more desirable.&lt;br /&gt;&lt;br /&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;a href="http://1.bp.blogspot.com/_Oxt6Tu4ix_0/Su4yAaXHfHI/AAAAAAAAAEE/3vijlRMPw4o/s1600-h/swing.gif" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" src="http://1.bp.blogspot.com/_Oxt6Tu4ix_0/Su4yAaXHfHI/AAAAAAAAAEE/3vijlRMPw4o/s200/swing.gif" vr="true" /&gt;&lt;/a&gt;Finding the CG on a rocket, large or small, is relatively easy. Finding the CP is more difficult. One of the easiest methods for determining the stability of model rocket is to tie a loop of string around the CG of a model rocket and swing it around your head to see if the rocket is stable. This is called the “Swing Test”. This method works on smaller rockets, but does not necessarily prove that a larger rocket is stable or unstable. This is due to practical limits on the length of a string you might be able to swing around your head. &lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;&lt;/div&gt;For example:&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Example 1:&lt;/strong&gt; At 10 feet of string length, a 24 inch rocket has the nose and tail moving through the relative wind at an angle of 2.9 degrees from ideal, or a total difference between the nose and the tail of 5.8 degrees. A rocket of this length will probably be able to be tested at this length.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Example 2:&lt;/strong&gt; At 10 feet of string length, a 48 inch rocket has the nose and tail moving through the relative wind at an angle of 5.8 degrees from ideal, or a total difference between the nose and the tail of 11.6 degrees. A rocket of this length has too much angular distance between the nose and the tail relative to the forward motion in the wind and probably would not be able to be tested at this string length.&lt;br /&gt;&lt;br /&gt;Large or heavy rockets are difficult to swing and could be damaged if the rocket hits a stationery object or person during the test. A better way of determining the stability of rocket is to determine the CP by calculation. One of the best known methods is called the Barrowman method.&lt;br /&gt;&lt;br /&gt;&lt;div style="text-align: center;"&gt;&lt;strong&gt;Barrowman Method of Predicting Stability&lt;/strong&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;The Barrowman method calculates all the individual pressure changes along the rocket from nose to tip. After each change is calculated, the total of each element is added and a ratio is calculated from the same elements multiplied by the force value for each element.&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su46RmIIhUI/AAAAAAAAAEc/o7bwAJIrdt8/s1600-h/barrowman+rocket.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su46RmIIhUI/AAAAAAAAAEc/o7bwAJIrdt8/s400/barrowman+rocket.gif" vr="true" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: left;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;To use the equations, the values measured from the rocket as illustrated above are substituted into the equation. Refer to the definitions below while taking measurements:&lt;br /&gt;&lt;br /&gt;L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; = Length of Nose d = Diam. of Base Nose&lt;br /&gt;d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; = Diam. of Transition Front&lt;br /&gt;d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; = Diam. of Rear Transition&lt;br /&gt;d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt; = Diam. of Rear Transition&lt;br /&gt;X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;P&lt;/em&gt;&lt;/span&gt; = Distance to Transition&lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; = Fin Root Chord &lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt; = Fin Tip Chord&lt;br /&gt;S = Fin Span &lt;br /&gt;L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; = Fin Mid-chord Line&lt;br /&gt;R = Radius Body at End&lt;br /&gt;X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; = Fin Sweep&lt;br /&gt;X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;B&lt;/em&gt;&lt;/span&gt; = Distance Nose to Fin&lt;br /&gt;N = Number of Fins&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Barrowman Calculations&lt;/strong&gt;&lt;br /&gt;While this task seems daunting it can be done in stages using a calculator with square root capability. If you don't want to go to this trouble, you can download a free Winroc windows based software program the from our website at&amp;nbsp;&lt;a href="http://www.modelrockets.us/winroc.php"&gt;ModelRockets.us&lt;/a&gt; that can do this for you.&lt;br /&gt;&lt;br /&gt;The following terms are substituted for general math symbols:&lt;br /&gt;* = Multiplication Function&lt;br /&gt;/ = Division Function&lt;br /&gt;^ = Square Function&lt;br /&gt;Sqr = Square Root Function&lt;br /&gt;&lt;br /&gt;&lt;div style="text-align: left;"&gt;&lt;strong&gt;Barrowman Basic Equation&lt;/strong&gt;&lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;P&lt;/em&gt;&lt;/span&gt; = (C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NN&lt;/span&gt;&lt;/em&gt; * X&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;N&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NT&lt;/span&gt;&lt;/em&gt; * X&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;T&lt;/span&gt;&lt;/em&gt; + C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;NF&lt;/em&gt;&lt;/span&gt; * X&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;F&lt;/span&gt;&lt;/em&gt;) / (C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NN&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NT&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NF&lt;/span&gt;&lt;/em&gt;)&lt;br /&gt;&lt;br /&gt;Here the CP value represents the center of pressure. Use the following&amp;nbsp; factors and calculations and then plug the numbers in the&amp;nbsp; Barrowman Basic Equation above (repeated at the end of this blog).&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Calculating the Nosecone Values&lt;/strong&gt;&lt;br /&gt;All Shapes of Nose Cones: C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;NN&lt;/em&gt;&lt;/span&gt; = 2 &lt;br /&gt;For Conical Nose Cones: X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; = 0.666 * L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; &lt;br /&gt;For Ogive Nose Cones: X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; = 0.466 * L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; &lt;br /&gt;For Parabolic Nose Cones: X&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;N&lt;/span&gt;&lt;/em&gt; = 0.5 * L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; &lt;br /&gt;For Hack Nose Cones: X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; = 0.5 * L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N &lt;/em&gt;&lt;/span&gt;&lt;br /&gt;For Von Karmen Nose Cones: X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; = 0.563 * L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;N&lt;/em&gt;&lt;/span&gt; &lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Calculating the Transition Values (if there are any)&lt;/strong&gt;&lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;NT&lt;/em&gt;&lt;/span&gt; = 2 * (((d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; / d) ^ 2) - ((d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; / d) ^ 2))&lt;br /&gt;X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt; = X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;P&lt;/em&gt;&lt;/span&gt; + ((L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt; / 3) * (1 + ((1 - (d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; / d&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt;)) / (1 - (d&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;F&lt;/span&gt;&lt;/em&gt; /d&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;R&lt;/span&gt;&lt;/em&gt;) ^ 2))))&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Calculating Fin Values&lt;/strong&gt;&lt;br /&gt;The LF value is needed for trapezoidal fins only. It can be measured or calculated with the following equation:&lt;br /&gt;&lt;br /&gt;L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; = Sqr (S ^ 2 + (X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; + (C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt; / 2) - (C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; / 2)) ^ 2)&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Trapezoidal Fins&lt;/strong&gt;&lt;br /&gt;FT1 = 1 + (R / (S + R))&lt;br /&gt;FT2 = 1 + Sqr(1 + ((2 * L&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt;) / (C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;R&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;T&lt;/span&gt;&lt;/em&gt;)) ^ 2)&lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;NF&lt;/span&gt; = FT1 * (((N * 4) * (S / d) ^ 2) / FT2)&lt;br /&gt;&lt;br /&gt;FT3 = C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; + C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt;&lt;br /&gt;FT4 = (FT3 - ((C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; * C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;T&lt;/span&gt;&lt;/em&gt;) / FT3)) / 6&lt;br /&gt;X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; = X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;B&lt;/em&gt;&lt;/span&gt; + ((X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;R&lt;/em&gt;&lt;/span&gt; / 3) * ((FT3 + CT) / FT3)) + FT4&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Elliptical Fins&lt;/strong&gt;&lt;br /&gt;FT5 = (4 * N * (S / d) ^ 2) / (1 + Sqr(1 + (1.623 * (S / CR ) ^ 2)))&lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;NF&lt;/em&gt;&lt;/span&gt; = FT5 * (1 + R / (S + R))&lt;br /&gt;&lt;br /&gt;X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;F&lt;/em&gt;&lt;/span&gt; = X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;B&lt;/em&gt;&lt;/span&gt; + 0.288 * CR&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Final Results&lt;/strong&gt;&lt;br /&gt;After calculating each element of the rocket. They are applied in the final equation:&lt;br /&gt;&lt;br /&gt;C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;P&amp;nbsp; &lt;/em&gt;&lt;/span&gt;= (C&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;NN&lt;/em&gt;&lt;/span&gt; * X&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;N&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NT&lt;/span&gt;&lt;/em&gt; * X&lt;span style="font-size: xx-small;"&gt;&lt;em&gt;T&lt;/em&gt;&lt;/span&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NF&lt;/span&gt;&lt;/em&gt; * X&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;F&lt;/span&gt;&lt;/em&gt;) / (C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NN&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NT&lt;/span&gt;&lt;/em&gt; + C&lt;em&gt;&lt;span style="font-size: xx-small;"&gt;NF&lt;/span&gt;&lt;/em&gt;)&lt;br /&gt;&lt;br /&gt;Use the CP value measured from the tip of the nose cone of your rocket. This location is the center of pressure of your rocket. If your rockets CG is 1or 2 tube diameters ahead of the CP then most cases your rocket will be stable and you are ready to go. &lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Note:&lt;/strong&gt;&lt;br /&gt;There is an exception to the CP to CG distance rule that applies to short fat rockets. These kind of designs can often fly very well with a CP to CG distance of 1/2 to 1 tube diameter.&lt;/div&gt;&lt;/div&gt;&lt;br&gt;&lt;br&gt;For more information go to &lt;a href="http://www.modelrockets.us"&gt;ModelRockets.us&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/473030066087207649-4756492726789576034?l=modelrocketnews.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/4756492726789576034'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/4756492726789576034'/><link rel='alternate' type='text/html' href='http://modelrocketnews.blogspot.com/2009/11/understanding-model-rocket-stability.html' title='Understanding Model Rocket Stability'/><author><name>ModelRockets.us</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su4xb0VnDSI/AAAAAAAAAD8/_Mf4blZT3Ag/s72-c/stable.gif' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-473030066087207649.post-8350587776787954753</id><published>2009-11-01T10:53:00.000-08:00</published><updated>2010-07-12T15:41:41.221-07:00</updated><title type='text'>What’s Important for Model Rocket Performance</title><content type='html'>&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su3aSdLOYMI/AAAAAAAAADs/nEwFmocLVcQ/s1600-h/earth.gif" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su3aSdLOYMI/AAAAAAAAADs/nEwFmocLVcQ/s200/earth.gif" vr="true" /&gt;&lt;/a&gt;&lt;/div&gt;I get many questions from beginning model rocket modelers that want to know how to design model rockets for the best altitude performance. This interest varies between those who just want to get the best performance from a custom designed rocket to those who are involved in Science Fair or school projects. Most often the focus of the questions are on design issues associated with aerodynamic shape such as the nose cone or fin shape and often the questions center on just length and diameter. In the following discussion, I'll try to unravel the issues about model rocket performance.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;So What's Important?&lt;/strong&gt;&lt;br /&gt;&lt;br /&gt;To help divide the areas involved in model rocket performance, I've listed most of the factors that affect flight performance.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Gravity&lt;/strong&gt; - A big factor. The only way to reduce gravity is to launch a rocket at an angle not perpendicular to the ground. Launching at an angle will increase the distance a rocket travels before coming back down. However, a rocket will not reach its highest altitude unless it is launched straight up, perpendicular to the ground. I’ve brought the issue of gravity up to illustrate that the most important issue regarding model rocket performance is:&lt;br /&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/_Oxt6Tu4ix_0/Su3Y6CfZP5I/AAAAAAAAADU/1T4GuqmMgok/s1600-h/scale.gif" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" src="http://1.bp.blogspot.com/_Oxt6Tu4ix_0/Su3Y6CfZP5I/AAAAAAAAADU/1T4GuqmMgok/s200/scale.gif" vr="true" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;strong&gt;Weight&lt;/strong&gt; - As you can't change gravity, you can get the same affect by reducing the weight. This is because the speed of the rocket at engine burnout is proportional to the weight of the rocket. The following simplified equation illustrates this: &lt;br /&gt;&lt;br /&gt;&lt;div style="text-align: left;"&gt;&lt;strong&gt;v = (I * g)/W&lt;/strong&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;br /&gt;&lt;/div&gt;Where as:&lt;br /&gt;&lt;strong&gt;v&lt;/strong&gt; = Max Velocity in Feet per Second&lt;br /&gt;&lt;strong&gt;I&lt;/strong&gt;&amp;nbsp;= Total Motor Impulse in Pound Seconds&lt;br /&gt;&lt;strong&gt;g &lt;/strong&gt;= Gravity at 32.2 Feet per Second Squared &lt;br /&gt;&lt;strong&gt;W&lt;/strong&gt; = Weight of Rocket at Burnout in Pounds&lt;br /&gt;&lt;br /&gt;In this equation gravity is a fixed constant. So only changing motor impulse or changing the weight of the rocket will affect the burnout velocity of the rocket.&lt;br /&gt;&lt;br /&gt;To use this equation you can convert the typical motor impulse ratings of newton-seconds to pounds by dividing newton-seconds by 4.448. You can also convert typical rocket weight in ounces to pounds by dividing ounces by 16.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Power&lt;/strong&gt; - Increasing the power has the same affect as reducing the weight. For instance let’s apply the velocity formula to the following examples...&lt;br /&gt;&lt;br /&gt;Rocket with an impulse of 5 newton-seconds equals 1.124 pound- seconds and 10 newton seconds at 2,248 pound seconds. Weight of 4oz equals .25 pounds.&lt;br /&gt;&lt;br /&gt;Applying the formula v = (I * g)/W yields:&lt;br /&gt;&lt;br /&gt;Change the weight to .125 Pounds hass a result ofg&lt;br /&gt;&lt;strong&gt;(1.124 * 32.2) /&lt;span style="color: yellow;"&gt;.125&lt;/span&gt; = 289.54 feet per second&lt;/strong&gt;&lt;br /&gt;&lt;br /&gt;Change the impulse to 2.248 pound seconds changes the result to:&lt;br /&gt;&lt;strong&gt;(&lt;span style="color: yellow;"&gt;2.248&lt;/span&gt; * 32.2) /.25 = 289.54 feet per second&lt;/strong&gt;&lt;br /&gt;&lt;br /&gt;As you can see, doubling the total impulse or cutting the weight in half has the same affect of doubling the velocity.&lt;br /&gt;&lt;br /&gt;The above burnout velocity calculations do not take in to account the effect that aerodynamic drag has on the velocity. In the following section we will begin to deal with this issue.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Aerodynamic Drag&lt;/strong&gt;&lt;br /&gt;&lt;br /&gt;Aerodynamic drag can have a significant impact on the velocity of a rocket in flight. For instance, the calculation of drag force is:&lt;br /&gt;&lt;br /&gt;&lt;div style="text-align: left;"&gt;&lt;strong&gt;D = 0.5 * p * (V^2) * Cd * ((r ^ 2) * 3.14159)&lt;/strong&gt; &lt;/div&gt;&lt;div style="text-align: left;"&gt;&amp;nbsp; &lt;/div&gt;&lt;div style="text-align: left;"&gt;Where as: &lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;strong&gt;D&lt;/strong&gt; = Drag &lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;strong&gt;p&lt;/strong&gt; = Air density in kg/m3 &lt;/div&gt;&lt;strong&gt;v&lt;/strong&gt; = Max velocity in feet per second&lt;br /&gt;&lt;strong&gt;Cd&lt;/strong&gt; = Drag coefficient&lt;br /&gt;&lt;strong&gt;r&lt;/strong&gt; = Diameter of rocket divided by 2&lt;br /&gt;&lt;br /&gt;The velocity has the greatest affect on drag in this calculation since it is squared. However, as the earlier equation for velocity is calculated separately, we will consider this to be a constant in this calculation.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Air Density&lt;/strong&gt; - Air density is about .97 at sea level and 70F. There is little that you can do about it other than launch on a hot day or take a trip up to the mountains where the air is less dense to launch.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Drag Coefficient&lt;/strong&gt; - The drag coefficient is usually less than 1. Most rockets fall between .5 and .75. Only a very bad design would exceed 1. We will discuss this in some detail in the following section.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Diameter of the Rocket&lt;/strong&gt; - In the above calculation, the diameter is divided in two, then the result is squared and multiplied by 3.14159 or PI. This calculation will give you the area the rocket faces into the wind or how much the air is displaced. Independent of the velocity value, the diameter of the rocket is the single largest factor in drag force calculations. The drag nearly quadruples as the rocket diameter only doubles.&lt;br /&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su3ZFJWjlRI/AAAAAAAAADc/zfvSxJ1V1uA/s1600-h/rockets.gif" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" src="http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su3ZFJWjlRI/AAAAAAAAADc/zfvSxJ1V1uA/s200/rockets.gif" vr="true" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;strong&gt;Aerodynamic Shape&lt;/strong&gt; - The single factor which describes the shape of model rocket and the finish is the drag coefficient. Take a look at the 2 rocket designs on the right. The one on the left looks considerably sleeker than the one on the right.&lt;br /&gt;&lt;br /&gt;Based on a rocket with a good finish, the design on the left would come in with a .5 Cd (drag coefficient) while the one on the right would come in with a slightly higher Cd value.&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;So What Does All This Mean?&lt;/strong&gt;&lt;br /&gt;&lt;br /&gt;Aerodynamic shape has an impact on the drag force the rocket sees in flight. However, the diameter of the rocket has a larger&amp;nbsp; impact on drag calculations.&lt;br /&gt;&lt;br /&gt;It is understood that the height the rocket is able to obtain is based on velocity over time. The import factors in the velocity are the weight and power of the rocket.&lt;br /&gt;&lt;br /&gt;To achieve better performance from a rocket and higher altitude flights, focus on weight and power, first, then rocket diameter and lastly aerodynamic shape.&lt;br&gt;&lt;br&gt;For more information go to &lt;a href="http://www.modelrockets.us"&gt;ModelRockets.us&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/473030066087207649-8350587776787954753?l=modelrocketnews.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/8350587776787954753'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/8350587776787954753'/><link rel='alternate' type='text/html' href='http://modelrocketnews.blogspot.com/2009/11/whats-important-for-model-rocket.html' title='What’s Important for Model Rocket Performance'/><author><name>ModelRockets.us</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://3.bp.blogspot.com/_Oxt6Tu4ix_0/Su3aSdLOYMI/AAAAAAAAADs/nEwFmocLVcQ/s72-c/earth.gif' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-473030066087207649.post-1300198711519702267</id><published>2009-10-27T20:41:00.000-07:00</published><updated>2010-07-12T15:42:35.987-07:00</updated><title type='text'>New Model Rocket Kits at ModelRockets.us</title><content type='html'>&lt;div style="text-align: left;"&gt;After many years of being involved with educational model rocketry...we decided to offer our own kits specifically designed for the teachers, students, scout troops and youth groups! &lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;a href="http://4.bp.blogspot.com/_Oxt6Tu4ix_0/SueP6PL-9DI/AAAAAAAAABU/GfjvAIW6T1A/s1600/laser+parts.jpg" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img alt="" border="0" id="BLOGGER_PHOTO_ID_5397440909098808370" src="http://4.bp.blogspot.com/_Oxt6Tu4ix_0/SueP6PL-9DI/AAAAAAAAABU/GfjvAIW6T1A/s200/laser+parts.jpg" style="margin-top: 0px;" /&gt;&lt;/a&gt;We listened to many of you who are involved in educational model rockety programs and decided to do things differently. We learned that there was concern about younger students and scouts using cutting tools...So we laser pre-cut everything, including thrust ring grooves, motor hook slots, fin slots and balsa fins. We even decided to laser pre-mark the tubes for centering rings, launch lugs and fins so using marking guides and doorways to draw your fin lines are a thing of the past! &lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/_Oxt6Tu4ix_0/SuhdS8-XjrI/AAAAAAAAACc/86m37k2gDDg/s1600-h/rockets.jpg" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"&gt;&lt;img border="0" src="http://1.bp.blogspot.com/_Oxt6Tu4ix_0/SuhdS8-XjrI/AAAAAAAAACc/86m37k2gDDg/s200/rockets.jpg" vr="true" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;Our own experience with model rockets that were easily damaged by rough handling encourage us to make the tubes thicker and stronger. And, after building kits with cryptic instructions with little or no pictures or illustrations we decided to put as many 3D illustrations in our instructions as we could fit. We took the best ideas from all the model rocket kit manufacturers and added many of our own to come up with what we think is the best Model Rocket Kit Bulk Pack line being manufactured today.&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;br&gt;&lt;br&gt;For more information go to &lt;a href="http://www.modelrockets.us"&gt;ModelRockets.us&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/473030066087207649-1300198711519702267?l=modelrocketnews.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/1300198711519702267'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/473030066087207649/posts/default/1300198711519702267'/><link rel='alternate' type='text/html' href='http://modelrocketnews.blogspot.com/2009/10/new-model-rocket-kits-at-modelrocketsus.html' title='New Model Rocket Kits at ModelRockets.us'/><author><name>ModelRockets.us</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://4.bp.blogspot.com/_Oxt6Tu4ix_0/SueP6PL-9DI/AAAAAAAAABU/GfjvAIW6T1A/s72-c/laser+parts.jpg' height='72' width='72'/></entry></feed>
