The Amount of Time It Takes for a Pendulum to Swing

question 16

Essay

The amount of time it takes for a pendulum to swing "to-and-fro" through one complete
cycle is called the "period" and is calculated using the following equation: $$T = 2 \pi \sqrt { \frac { I } { m g h } }$$
where
$$\begin{array} { l } T = \text { period in seconds } \\I = \text { mass moment of inertia } \\m = \text { mass of pendulum in kilograms } \\g = \text { gravitational acceleration, } 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } \\h = \text { effective length of pendulum in meters }\end{array}$$
What is the appropriate unit for $I$ if the preceding equation is to be homogeneous in units?

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