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A Rig for measuring Isp

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Overclocked - 15 Mar 2007 03:43 GMT
(If this isnt the right group tell me, I couldnt find a group
especially for Amateur rockets)
Ive been working with rcandy for a while, Ive been experimenting with
different mixes to get it to the consistancy I want. But lately, Ive
been wondering how to make a rig to measure Isp. The idea came from
Jimmy Yawns Site.

This is what the rig looks like:
http://picasaweb.google.com/Overclocked2300/PrototypeScale

The Black part is where the engine goes, the pointer points to the
scale. I calibrated the scale by Using water. Since 1g of water =1ml,
then 1L of water = 1kg. I just convert kg to pounds and then to
newtons, and bam, Instant Isp meter.

Now, Today I got to the actual testing (It only took maybe 20 minutes
to build), I used a Estes C6-5 Engine to Do the actual testing, so I
can be accurate and see how much % error this scale has.

Here are The Results...According to Estes, The Max (Ideal) Thrust is
15N, Mine measured 14.75 N, thus giving a 2% Error! I expected Much
more, atleast 10% Error between measurements. The Average Thrust Gave
the same results, 2% Error.

However, I just noticed on the data sheet for the engine that it says
they can vary by +/- 10%. Is this 2% Error the Engine Or is it the
Scale? Would you call the scale Accurate in measuring Isp?
Darrell D. Mobley - 15 Mar 2007 04:48 GMT
> (If this isnt the right group tell me, I couldnt find a group
> especially for Amateur rockets)

That OK, neither could we.  ;-)

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Steve Humphrey - 15 Mar 2007 13:04 GMT
> Here are The Results...According to Estes, The Max (Ideal) Thrust is
> 15N, Mine measured 14.75 N, thus giving a 2% Error! I expected Much
[quoted text clipped - 4 lines]
> they can vary by +/- 10%. Is this 2% Error the Engine Or is it the
> Scale? Would you call the scale Accurate in measuring Isp?

The NAR S&T results are 14.09 N for the C6-5 (with a sigma of 2.94), so
the "error" from your test was closer to 5%
  http://wwwtest.nar.org/SandT/pdf/Estes/C6.pdf
Estes (and other motor/engine manufacturers) sometimes overstate the
performance.

I assume from the picture of your test stand that you read the peak
thrust "by eye". I think right there is probably the most significant
error, as it is hard to capture the peak thrust when the peak lasts less
than a 1/10 second.

To answer your question, the 2% (or 5%) error is a aggregate of
- the test stand error, which is probably pretty small since you
calibrated it with a weight similar to the thrust you're measuring;
- eyeball error;
- motor variability.

You probably know this, but to measure Isp you'll need the total impulse
(or average thrust plus thrust duration), not peak thrust. Besides
needing some method of integrating impulse over the duration of the
burn, you may need to dampen the motion of the test stand "arm". From
the picture it looks like that's a furring strip; they're pretty stiff
and tend to bounce or "ring" when hit with an impulse. It won't be
nearly as bad as with a steel arm, so maybe the ringing won't be large
enough to need correcting. Something to think about, though.

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Steve Humphrey
(replace "spambait" with "merlinus" to respond directly to me)

Overclocked - 15 Mar 2007 16:46 GMT
> > Here are The Results...According to Estes, The Max (Ideal) Thrust is
> > 15N, Mine measured 14.75 N, thus giving a 2% Error! I expected Much
[quoted text clipped - 34 lines]
> Steve Humphrey
> (replace "spambait" with "merlinus" to respond directly to me)

A video will clear up some uncertainty about my rig.
http://video.google.com/videoplay?docid=-882349013109587184

Thats How I measure Thrust. I go frame by frame and Observe where the
needle goes.

> You probably know this, but to measure Isp you'll need the total impulse
> (or average thrust plus thrust duration), not peak thrust. Besides
[quoted text clipped - 4 lines]
> nearly as bad as with a steel arm, so maybe the ringing won't be large
> enough to need correcting. Something to think about, though

Actually, I didnt know this, Thanks for the info though! So Im
guessing to get Peak Impulse, I would add Peak Thrust + Time for that
moment. The whole rig is made from Scrap wood I found in the garage.
Overclocked - 15 Mar 2007 16:59 GMT
I forgot the mention, In the video the Top Most line is 0, all other
lines are graduations of .5kg .
Steve Humphrey - 16 Mar 2007 01:03 GMT
>> ... to measure Isp you'll need the total impulse
>> (or average thrust plus thrust duration), not peak thrust.

> So Im
> guessing to get Peak Impulse, I would add Peak Thrust + Time for that
> moment.

What you want is the total impulse. Go back to Jimmie Yawn's web page
where he made the thrust stand similar to yours. Notice he makes a graph
of thrust vs time? The area under the curve gives the total impulse. You
could plot the graph on graph paper and count the number of squares
under the curve as a good approximation.

Peak thrust is fun and interesting, but it doesn't help you characterize
your motor--it's not useful for calculating Isp, for instance. (Peak
impulse is the same as peak thrust ... impulse being another word for
thrust in this case.)

If you knew the average thrust of the motor, then you could multiply it
times the thrust duration to get total impulse. But usually the average
thrust is calculated from the total thrust.

   Ave thrust (or ave impulse)  =  total impulse / thrust duration

Signature

Steve Humphrey
(replace "spambait" with "merlinus" to respond directly to me)

Overclocked - 16 Mar 2007 16:53 GMT
Speaking of Isp, how do you calculate how high the rocket will go
using Isp? Ive read on many sites (including one by Nasa) That Isp is
used to calculate how high it will go.

> >> ... to measure Isp you'll need the total impulse
> >> (or average thrust plus thrust duration), not peak thrust.
[quoted text clipped - 24 lines]
> Steve Humphrey
> (replace "spambait" with "merlinus" to respond directly to me)
Alan Jones - 16 Mar 2007 18:44 GMT
>Speaking of Isp, how do you calculate how high the rocket will go
>using Isp? Ive read on many sites (including one by Nasa) That Isp is
>used to calculate how high it will go.

Without a lot more information, about the only thing you can get from
knowing Isp is exhaust velocity.  Keep reading.
Steve Humphrey - 16 Mar 2007 19:03 GMT
> Speaking of Isp, how do you calculate how high the rocket will go
> using Isp? Ive read on many sites (including one by Nasa) That Isp is
> used to calculate how high it will go.

You need more than the *just* the Isp. Generally you need to know at
least the average thrust, thrust duration, rocket size, and weights of
the rocket and the propellant. But if you've calculated the Isp you
already must know most of what you need. Since Isp is the total impulse
divided by propellant weight (or mass), and since you probably figured
the total impulse using a thrust vs time graph, you will know or can
calculate the thrust duration, propellant weight, and average thrust.

The Fehsken-Malewicki equations are a good way to estimate apogee
without using a computer simulation:
  http://my.execpc.com/~culp/rockets/rckt_eqn.html
These equations account for atmospheric drag.

Refining the apogee estimate--getting more accurate--means employing a
simulation and accounting for changes in thrust, drag changes with
airspeed, air pressure change with altitude, temperature, etc. Depending
on how high the rocket goes some of these may or may not be important.

Signature

Steve Humphrey
(replace "spambait" with "merlinus" to respond directly to me)

Paul - 19 Mar 2007 01:09 GMT
> (If this isnt the right group tell me, I couldnt find a group
> especially for Amateur rockets)
[quoted text clipped - 10 lines]
> then 1L of water = 1kg. I just convert kg to pounds and then to
> newtons, and bam, Instant Isp meter.

Why would you convert kg into pounds and THEN into Newtons?

      F=ma   (ie N= kg x 'g')  (where 'g' is acceleration due to gravity,
usually taken as being  9.807 m/s/s)

Just trying to be helpful.... :-)

PaulB
Overclocked - 19 Mar 2007 03:31 GMT
> > especially for Amateur rockets)
> > Ive been working with rcandy for a while, Ive been experimenting with
[quoted text clipped - 18 lines]
>
> PaulB

Ok, Using what you said for 1.5kg,  I get 14,700 N. Its pretty much
the same thing, but x1000. So whats the Difference? Both are
relatively the same answer. I used google to do the original
conversion instead of a calc. If Im only going to measure 50N Max for
all my engines, I can get a 50N Scale for 2.95 at American Science and
Surplus. I just gotta thing of how to measure it using a scale you
would usually pull.

Oh wait, I used 1500g, not 1.5kg, Still it equals out to 14.7N...One
just has more significant digits. I wonder if Google uses F=MA for lbs
to newton conversion. Hmm, It must, Since W=M*G, and Google is On
earth, It must find Mass, Then Use F=MG to find Newtons...
 
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