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?

---

Definitions:

tRNA

Transfer RNA; a type of RNA that helps decode a messenger RNA (mRNA) sequence into a protein during protein synthesis.

rRNA

Ribosomal RNA, a type of RNA that, together with proteins, makes up the ribosome, the site of protein synthesis in cells.

Wild-Type

Refers to the phenotype, genotype, or allele that is considered standard or most common in natural populations.

Neurospora

A group of ascomycete fungi frequently utilized as a standard organism for genetic and molecular biology research.