A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 12.0 s.(a) How tall is the tower? m(b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? s
Question
A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 12.0 s.(a) How tall is the tower? m(b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? s
Solution
(a) The period of a pendulum is given by the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum (which is approximately the height of the tower), and g is the acceleration due to gravity
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