by graupman » Tue Jul 27, 2010 12:23 pm
The loss of impulse brings up another question that I have been wrestling with - how to predict how much power the clock will require to operate.
I have constructed a pendulum with a simple non-aerodynamic weight and fixed a slider and brass rod at the point where the escape wheel would be (to mimic losses from the brass pin rolling along the escape wheel). With this setup I counted 135 cycles before the pendulum swing lost 36% (1/e) of its energy (percentage calculated by height of the bob, not angle of swing). Assuming exponential decay that is a loss of 0.75% per cycle and a Q-factor of 850.
With my current setup the clock will have enough power to drive a 3 lb pendulum assuming 10% loss per shaft and gear pair and a 30% loss of energy where the brass pin rolls along the escape wheel. I am assuming the potential energy lost by the pendulum equals the work added per cycle by the escape wheel.
Is this the right way to go about it or are my assumptions flawed?
Also, I have attached a more detailed drawing of the escape wheel tooth to better illustrate the motion of the pendulum.
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