Flag starts clock Click planet (Earth, Mars, Venus, Jupiter, or Venus) See that pendulum rate is proportional to √gravity On Earth, the pendulum tick frequency is 1 per second Does displacement angle (∡) affect frequency? Sine function for pendulum. Digital in upper left. (The digital clock would go very slightly slower with higher gravity, too little to notice by eye. Due to relativity, time goes a tiny bit slower on Jupiter, with stronger gravity, but not focusing on that here)
More gravity, faster swing, grandfather clock faster Grandfather clock pendulum swing left to right takes 1 second on Earth. Rate is proportional to √ of gravity. Jupiter's gravity is 2.53 X Earth's. So √2.53 determines the Jupiter tick rate: 1.59 times Earth's. Venus' gravity is 91% Earth's, √ 0.91 is 0.954 and so pendulum freq is 0.954 of Earth's tick frequency Displacement angle doesn't affect pendulum frequency so long as that displacement is < 15° On Earth, a full oscillation back to original position takes 2 secs (natural frequency is 0.5 Hertz, period is 2 secs). We use sin(180*timer*natural freq)*displacement angle. 12 chimes at noon, 3 chimes at 3:00, etc. every 3 hours Digital clock on planet with stronger gravity, like Jupiter, would go slightly (but imperceptibly to our eye and ear) slower, time dilation due to relativity, but pendulum swings noticeably faster due to classical gravity effects
