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23 December, 10:54

Find the length of a pendulum that oscillates with a frequency of 0.15 hz. the acceleration due to gravity is 9.81 m/s 2. answer in units of m.

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  1. 23 December, 14:51
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    Frequency of the pendulum F = 0.15Hz Acceleration due to gravity g = 9.81 m/s^2 Period of the pendulum is calculated by T = 2 x 3.14 x squareroot of (L / g), L being the length of the pendulam. We have an equation between T and F = > T = 1 / F T = 1 / 0.15 = > T = 20 / 3 Now substituting the values = > 20 / 3 = 2 x 3.14 x squareroot of (L / 9.81) = > 3.33 = 3.14 x squareroot of (L / 9.81) = > squareroot of (L / 9.81) = 3.33 / 3.14 = > L / 9.81 = 1.06^2 = > L = 1.13 x 9.81 Length of the pendulum = 11 m
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