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Every child in high school learns that a pendulum’s rate of swing (period) is proportional to its length. This is the only factor that affects the period. Galileo discovered this in 1582.
Today’s grandfather clocks are the descendents of William Clement’s clock from 1670. He had discovered that a longer pendulum meant more accurate timekeeping. The long pendulum had to be enclosed to prevent children (and adults) playing with it. Hence the long-case clock was invented. The…