Ducks per Second: A Most Useful Unit of Velocity

Figure 1 - Sand Martin approaches from rear of convoy
Figure 2 - Sand Martin passes over second duck in convoy

When I lived in the Midlands of the UK, away from the bussle of London’s controlled airspace, one of my pleasures on an evening was to hire a light aircraft at my local airfield and tootle off for an hour or so practicing maneoveurs and generally enjoying the sunset – all very peaceful.

Except, one evening when I was out tootling above the Cotswolds; like a flash, an RAF Tornado jet whooshed from under me, matching my track but far exceeding my speed, and all uncomfortably close – a disappearing dot before I could blink.

In fact, he was probably a good 500 ft below me and certainly had on-board radar – so nothing actually dangerous going on. (There’s a popular myth  – that may be true – that on such occasions the military use light aircraft for practice interception.)

Anyhow, it made an impression on me, and today the memory returned unbidden with these two photographs snapped at the Rick Pond in Hampton Court Park.  They show a Sand Martin in a low-level, high speed pass over a convoy of ducklings – as bemused, no doubt, as I was 4000 feet above the Cotswolds (Figs 1 & 2).

Low-flying Sand Martin (Riparia riparia) with Mallards

I’d been trying to catch the Martins’ aerobatic fly-catching with no success, and started snapping the ducks more as a gesture of resigned failure. I only spotted the Martin when I downloaded the flash card.

This type of ‘buzzing’ seems to be in the Sand Martin’s nature. People on the bank get similar treatment – the bird coming from behind, passing within inches of heads, as if honing their own targeting systems.

I’d left the camera in rapid fire mode of 8 fps, so the time interval between the two photographs is known.   If we also know the length of a duck, we can calculate the Martin’s speed, in ducks per second –  or more tedious conventional units.   So:

Assuming SML = 0.3m  (Standard Mallard Length)

Time between pictures at 8 f.p.s = 0.125 s

Ducks passed between frames = 5.75 (use the grid to measure; one duck = 2 grid squares)

Bird Velocity = (5.75/0.125) = 46 ducks / second (Systeme Canard)

or  (46×0.3)                              = 13.8 metres / second (SI)

0r  (13.8×2.24)                         = 31 m.p.h.

There we have it.  Hugely practicable and useful method for measurement of the velocity of birds over water 🙂

And this is quite possibly where the Sand Martins live.  A short hop at 31 mph.

Eel Pie Island Sand Martin Bank (Photo: Tim Jones)

 

2 thoughts on “Ducks per Second: A Most Useful Unit of Velocity”

  1. Your buzz from RAF reminded me of a story my USAF-fighter-pilot uncle told me. In the 50s and 60s, when he started flying, USAF pilots could do pretty much anything they wanted in terms of flight. He and a buddy liked to take their ‘birds’ down onto rivers and fly 15 – 30 feet above the water. Once, doing about 300 and flying especially close to the water, they came upon some canoeists. He said they bailed — but didn’t hit the water till the planes were past.

  2. David,

    Brilliant. Back in the 70’s/80’s American pilots were always the most entertaining at UK airshows when it came to low-level flying. All that’s been cleaned up by H&S now; but I suspect it’s in the blood.

    One more story: there’s another popular myth that when the Tornado’s terrain-following radar was being developed, the early software had a glitchy tendency to put the aircraft under, rather than over, the cables between electricity pylons (which, knowing software engineers as I do, I find totally believable).

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