I adopted a different approach with my experimental clock, partly for practical reasons, and partly after measuring what happened when my pendulum was released. I found a pendulum cannot be released precisely, and it’s better to let it swing until it stabilises at a known amplitude before measuring it.
The ideal free pendulum is isolated from everything that might interfere with it. Best sealed in a vacuum chamber, which disqualifies any release mechanism that has to be fiddled with. For example though Michael’s thread is good because it eliminates wobbly operators, it fails here because there’s no way of installing the thread, or lighting a candle that won’t burn in a vacuum. Actually, anything requiring the operator to set a release mechanism inside the chamber is off the table.
My clock’s pendulum is designed to swing inside a vacuum chamber, creating a problem: how to start the bob swinging in the first place. Hands off.
Another reason. Experiment suggests the act of starting a pendulum by any means is intrusive. Starting them isn’t “precise”, at least when measured in microseconds or faster. Various causes: mechanical mechanisms are likely to be rough; the bob will fly in an ellipse unless released exactly at a right angle to the bob and suspension; turbulence; and the rod may ‘twang’ as it takes the strain. Magnetic release should be smoother and less intrusive than mechanical, but how long release takes depends on the core and bob material, coil inductance, and the flyback diode. Have measure how long it takes – anything from microseconds to several tens of milliseconds.
I concluded the first swing is always abnormal, not precise! When precision is required pendula require time to settle. Therefore I abandoned the idea that my clock would keep time from the first swing. Instead, the pendulum is started with an excessive amplitude (about 6°), and allowed to swing free to 3.5°-ish, by which time, it is more precise. Period is not trusted until the pendulum has settled.
Tried two starting strategies, both using a side-mounted electromagnet:
- the bob is powerfully pulsed at resonant frequency, until amplitude rises above 5°. Then not impulsed until the amplitude falls to about 3.5°, after which impulsed with just enough power to keep it at that level. (3.5° to reduce circular error)
- the bob is pulled hard on to the electromagnet by applying full power for a few seconds and then released. Drop amplitude from the magnet’s pole is about 7°. Then the bob allowed to swing free until amplitude falls to 3.5°, when normal ‘keep it going’ impulses are applied.
3.5° was found by experiment, not calculation. My pendulum settles adequately at 3.5° from either type of start. Other pendula will be different.
In practice, pulling the bob hard on the electromagnet starts reliably, but the drop is more violent and the pendulum takes longer to settle. Resonant starting is less reliable. If the bob is already swinging the resonant pulses can be applied in anti-phase, with negative results.
An observation: my bob is never completely completely still! I guess it picks up enough energy from the environment to move ever so slightly. Maybe vibration due to traffic outside, me clumping around, plus the house moving as it heats and cools. That pendula make good seismographs shows up distinctly when measured at high resolution. Rigidity matters too. Whilst debugging my clock is running on a dining table, which severely reducing the pendulum’s precision. Q is down by a third compared with running it on a concrete floor…
Starting and allowing the pendulum to settle to a known amplitude before measuring might suit SK?
Dave