While I agree that the height gain on a pull up is not in principle
dependent on glider mass - being simply an exchange between two forms of
energy less some drag, maybe there is a real difference for the heavier
glider..
I suggest that the heavier glider will probably normally have a greater
initial speed - and thus the G for the pull up can be maintained for a
longer time, albeit small. I think it is the G which is the key thing
here, since it multiplies the effect of the lift. Hard to believe but
apparently true for positive and less practically for negative G...
Reference:- F.G.Irving, the Paths of Soaring Flight, pp86-88, a good
bedtime read.
At 10:07 25 August 2012, Jan wrote:
>When the basic equations of physics are questioned they should be tested
>by=
> real experimental data.
>
>Having recently worked on the compensation of the vario in my Ventus 2, I
>j=
>ust happen to have such data. Several pull ups from 180 km/t to 95 km/t
>wer=
>e recorded by the igc-logger (and on film).
>
>Theory first (in SI units):
>
>Potential energy: m * g * h =20
>(m: mass, g: acceleration due to gravity - about 9.8 m/s^2, h: altitude)
>
>Kinetic energy: =BD * m * v^2 =20
>(v: speed)
>
>As a result, the theoretical lossless altitude gain by a pull up is:
>
>dh_theory =3D =BD * (v_start^2-v_final^2) / g
>
>This equation does not depend on the mass of the glider !
>
>Experimental data:
>
>24 pull ups from three different days in relatively calm air.=20
>Average start speed: v_start =3D 49.8 m/s =B1 0.4 m/s
>Average final speed: v_final =3D 26.3 m/s =B1 0.7 m/s
>Average altitude gain: dh =3D 90 m =B1 3 m
>
>Using the equation above and the average start and final speeds, I find
>the=
> theoretical altitude gain to be: dh_theory =3D 91 m =B1 4 m
>
>Actually, I was a little surprised to see such a close agreement.
>
>No variation between days or direction of flight is seen (i.e. correct
>wind=
> correction). The duration of the pull ups is 10 seconds. The quoted
>uncert=
>ainties are the statistical standard error of the average. Further
>analysis=
> shows that the uncertainties on dH and dH_theory are highly correlated.
I
>=
>could think of several potential error sources but have not investigated
>th=
>eir influence.
>
>The mass of the Ventus 2? Well, it doesn=92t matter=85
>
>Jan
>
>PS! The mass-independent conversion from speed to altitude was actually
>giv=
>en as an example in my school physics book when I was 14 years old. At
>that=
> time I questioned the physics book due to the general (incorrect)
>understa=