| Timing:
Measuring High Speeds
With a high-speed clock such as the one described previously,
one can measure very high speeds. The photo below shows the elements
of a setup to measure the speed of a balloon rip. The clock is
centered above the balloon. Two sound triggers placed at opposite
ends of the balloon were used to trigger two flash units. The sound
from the pop took longer to reach the trigger on the right, thus
delaying the second flash discharge.

The time delay would approximately be the difference in time for
sound to reach the two triggers from the puncture site. (The delay
also depends on the response time of the sound trigger circuitry.
This may not be the same for the two triggers.)
The two flash units captured two superimposed, V-shaped images of
the moving rip. One could estimate the speed of the rip in relation
to the speed of sound simply by comparing the distance traveled by
the vertex of the rip to the difference in distances from the
puncture site to each of the triggers. The result is about 5/7 of
the speed of sound or 250 m/s.
A more accurate measurement can be obtained using the angle swept
out by the hand of the clock. This method of measuring the time
interval is described on the Timing page.
The distance traveled by the rip vertex can be measured in relation
to a known distance. The diameter of the clock disc can serve this
purpose as long as the disc is the same distance from the camera as
the rip.
If you want to do the calculations, here's what you need to
know: frequency of disc = 51.7 rotations per second, diameter
of disc = 0.105 m. An enlargement of the clock face,
superimposed on the balloon at the same scale, is provided for
better measurement accuracy.

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