Annex 1.4b to UK Proposals to CIMA 2000

Proposal to establish a "Competition record" for the PPG Kicking sticks championship event.

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Proposed by Richard Meredith-Hardy, (rmh@flymicro.com)
Calculations courtesy of Dave Simpson (Dave_Simpson@londonweb.net)

Purpose

The course for the PPG "Kicking sticks" event is always the same length. If a result can be normalised against ambient temperature and pressure then it is possible to make direct comparisons between pilot performance in different locations and at different times. It could therefore be possible to introduce National, European and World "Competition records" for this event based on the normalised time.

As a second use, this formula used in this proposal can also be used to formalise the minimum speed requirement of the definition of a microlight.

Summary of proposal

Assumptions

  1. The course is the same length for all events.
  2. That the small inaccuracies of the ISA standard atmosphere are insignificant with regard to the altitudes at which the competitions will be held.
  3. That a PPG's speed is inversely proportional to the square root of the relative pressure. Because the speed is proportional to the . Lift is proportional to air density; and air pressure is proportional to density. Ergo speed is proportional to

Conclusions

It is proposed that the following formula be applied to a competitor's result in the PPG "Kicking sticks" event to establish a result that is comparable over time and location.

Where
To = Course time normalised to ISA sea level conditions, in seconds.
T1 = Actual competition course time in seconds
P1 = Actual competition course pressure in mb
t1 = Actual competition course ambient temperature in degrees Celsius

Mathematical analysis

Let:
To = Course time normalised to ISA sea level conditions, in seconds.
T1 = Actual competition course time in seconds
K1 = Competition course length
VE = Average velocity, normalised to ISO conditions
P0 = ISA standard pressure = 1013.25 mb
P1 = Actual competition course pressure in mb
t1 = Actual competition course ambient temperature in degrees Celsius
t0 = ISA standard temperature; 15 °C

 

  

                              

                                          

Test:

When competition is in ISA conditions then P1 = 1013.25 and t1 = 15

Examples

Andreas has kicked all the sticks in 200 seconds in a competition in the mountains of Spain where the local pressure is 990 mb and the temperature is +35°C

Darren has kicked all the sticks in 203 seconds in a competition at Luton Airport where the local pressure is 1000 mb and the temperature is +7°C

Darren holds the record!