Dang it - still doesn't work I'm afraid. Devil. Vomit. Eiderdown.
Again.
Let's go for the long way round:
quote:
To best see the results, select the template menu from the top of the main screen and load up the Boyles-law template. You will see the column names in the Results window change.
For this example we're using Density in place of pressure.
Increase the mass from 5 units to 10 units. You will notice that the energy has increased from 5 to 10 units and the value of the Relationship has increased.
Also notice that the value for Density and Time has remained the same.
I take it you mean that we start with R as the hypoteneuse. Density and time are represented by the two angles? Let me know if I'm wrong here.
So E = 5, M = 5, R = 5*(root 2)
Obviously if we multiply E and M by 2, the angles don't change, and R doubles.
Correct so far?
quote:
Now set the focus on Relationship. We want to alter the relationship between Energy and Mass, up until now we have had it at 1 to 1. We want the program to recalculate the relationship based on a new set of figures.
Reduce the mass from 10 back down to 5.
You will see that the value of the Relationship has changed, but energy has remained the same.
You should also notice that density has changed. The Results window shows that the value of the Density has doubled, and with it the volume has been reduced.
OK, so now:
E = 10, M = 5, R = 5*(root 5)
Angles (radians):
a goes from 0.785 to 1.107
b goes from 0.785 to 0.464
But this isn't a doubling.
(thinks)
.
.
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Ah, maybe I have to reconfigure the triangle so that E is the hypoteneuse? i.e.
E = 10
M = 5
R = 5*(root 3)
angles (let's say a = the right angle in the previous triangle, where R was the hyp.):
a goes from 1.57 (pi/2) to arctan(R/M) = 1.047
b goes from 0.785 (pi/4) to 1.57 (pi/2), the way I have b and c round
c goes from 0.785 to arctan (M/R) = 0.524
So, I figure that (what I called) angle b was what you intended to be the density. Is this how it is supposed to work?
Can you remind me what angles a and c are under this scheme again?
PE