TheBeardedFatGuy
Birdie Member
Yes it is simple if you have a ridiculous camera. I did this quickly and used a couple of internet conversions, and am not being stringent with significant figures (pretty irrelevant when you see the result), but it's probably still correct:
A 60MPH throw is roughly 2685 cm/s
An average disc diameter is 21.5 cm
It would take a 60MPH throw only 0.00801 seconds to travel 21.5 cm
A 240 frame per second camera would shoot one frame for every 0.00417 seconds
This means approximately two frames for the disc to travel its diameter, at this high framerate.
A 59MPH throw travels 2637 cm/s.
This throw would take 0.00815 seconds to travel the same 21.5 cm
The difference between these two throws (59 vs 60 MPH) is 0.00014 seconds over this distance
To judge the difference between 1MPH at this velocity, you would need a camera that can shoot roughly 7,000 frames per second.
I'd say just set up some posts or indicators a decent distance apart.
That would work, but you'd run up against trying to judge where in the frames the disc hits its marks. Odds are you'd catch the disc anywhere but right when it hits the marks you're using to measure. At least if you measure distance traveled relative to the diameter of the disc as I described you're not stuck hoping your disc is hitting a mark at the exact moment the frame rate ticks. There's no reason you couldn't extend your measurement over more than two frames, other than the fact that disc movement is only truly perpendicular to camera angle in one position, though you can fake it over a relatively short distance. You can pull the camera back to prolong 'perpendicular' flight in frame, but you'd sacrifice fine measurement. Plus the disc is slowing from the moment it is no longer being propelled by your hand. Over 2,000 years ago Eratosthenes correctly measured the circumference of the earth with simple observation and math. I can't help but feel we're missing some simple solution to this problem.