If I was doing any project I would not use math formulas with so many variables. I would just carefully measure the rake and trail so I KNOW what is actually true.
I agree that it is a good idea to measure to make sure you know what you wound up with, but formulas should be used to give you an idea of where to start.
The rake of a 1976 CB750 was 28º with 4.5 inches of trail. Offset not given.
With stock front forks and 10º of added rake would make 38º rake. Not very extreme at all.
Trail? You would need to remeasure it. I do not think it would be over 5 inches
but it depends on the length of the front forks.
If my high school math is still good, then I figure the trail calculation on a CB750K to be the following:
Trail = sine(A) x B - C
where:
A = Rake Angle (my manual lists stock rake as 27 degrees)
B = 1/2 Front Tire Diameter (or distance from ground to center of axle which was 12.75" on stock bike)
C = Triple Tree Offset (this is 2.45" on the stock triple tree)
Assumptions:
1. Tree rake = 0 (parallel to steering column)
2. No changes to Rear wheel/tire dimensions and frame angle to ground remains the same as stock
3. There is a little slop unless you lengthen the fork to ensure the frame angle stays constant but with
less than 10 degrees of rake, that shouldn't be much of a factor
4. This formula is for "true trail" which is the perpendicular distance between the steering axis to the
tire contact point. As opposed to the common way it is measured (parallel to the ground).
So, for a stock CB750:
trail = sin(27 degrees) x 12.75 - 2.45 = 3.3"
* The shop manual lists trail as 3.7" but that is the distance as measured parallel to the ground.
True trail is measured perpendicular (as noted in 4 above), so 3.3" is about right.
If we increase the rake by 10 degrees we get:
trail = sin(37 degrees) x 12.75 - 2.45 = 5.22"
Lucky - that puts the false trail at about 6.5" !!!! So on the one hand you are saying that 10 degrees of rake is "not very extreme at all" but on the other hand you are saying that that kind of trail will make my handle bars want to flop from side to side at slow speeds. The contradiction is confusing to me.
This is why I am hoping that someone who has built a drag bike out of a CB750 (like that pictured above) will chime in and relate some experience.