- T_earth = 2π√(L/g_earth) - T_moon = 2π√(L/ g_moon) = 2π√(L / (g_earth/6)) = 2π√(6L/g_earth) = √6 (2π√(L/g_earth)) = √6 T_earth - The period on the Moon (T_moon) is √6 times longer than on Earth (T_earth). - A pendulum clock measures time by counting oscillations. A longer period means each swing takes longer, so the clock will run slower.