A practical question, that would be much easier and quicker to solve by guess-and-check than by actual computation, but I'm curious:
I have a mechanical clock, powered by a pendulum. The pendulum weight has a thumbscrew which allows it to be raised or lowered slightly to adjust the pendulum (and therefore clock) speed. The clock is gaining about 1 minute per day, and so I should lower the pendulum weight/increase the effective length of the pendulum. The question is, by how much? (as a percent of its current length, I guess) |