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Design => Engineering board => Topic started by: Chris Wilson on December 10, 2022, 11:57:07 PM

Title: Tangential line angular difference to circular velocity.
Post by: Chris Wilson on December 10, 2022, 11:57:07 PM
Hi all,
           Is there a formula for considering the angle the models roll axis sits on compared to the circular flight path?
  For example the problem to me is that if the model is set at a tangent, thrust, model centre line  rudder etc but it's forced to fly in a circular path then surely there is a measurable angular difference between the two?
Thanks, Chris
Title: Re: Tangential line angular difference to circular velocity.
Post by: BillLee on December 11, 2022, 06:08:46 AM
Should be easy to figure:

Alpha = arcsin ( D/L )

where

D is the distance from the CG to whatever point where you want to know. E.g., to the nose of the model, or to the rudder, or ....

L is your line length

(Or arctan. At these small angles, they are essentially the same.)

Howard, is this correct?

Bill
Title: Re: Tangential line angular difference to circular velocity.
Post by: Chris Wilson on December 11, 2022, 12:00:27 PM
Thanks very much Bill!
I got lost in a world of slope calculations that didn't solve the question.

Chris.
Title: Re: Tangential line angular difference to circular velocity.
Post by: L0U CRANE on January 11, 2023, 11:34:47 AM
If the CG is where you start and the roll axis is considered tangent to the flight circle, that puts the prop and the 'rudder' at a very slight angle out.- rudder's angle about twice as great as prop's . This calculation relates to straight lines not radians. (IMHO part of 'springiness' sensed includes the difference in pull as we apply more force on one line than the other to move the surfaces for control input...)

We know the length along that axis from CG to, say, prop and 'rudder'. Even on small stunters and shorter lines, THAT makes very small angles. Of course, any built-in offsets add or subtract...

How important? These angles may be smaller than errors in construction or estimated line sweep angle reaching the leadouts- which also may vary depending on presentation to wind..