Equation 7 · The Machine Before Electronics
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a known astronomical angular frequency. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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subscript
subscript
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Thomson’s machine implements exactly that division. Each of the ten shafts in the 1872 instrument carries an overhead crank with a pulley pivoted on a parallel axis that is adjustable for the range applying to that place — the amplitude — and each crank can be positioned and clamped to correspond to the required tidal epoch — the phase . The shafts are geared so that their periods are proportional to the periods of the tidal constituents — the frequencies [ 3 ] . The summing cord performs the . The pen writes h(t) against a moving paper roll while a single crank drives everything at once.
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