The Fundamental Frequency of a Vibrating Guitar String Is Modeled $$f = \frac { 1 } { 2 L } \sqrt { \frac { T } { \mu } }$$

question 27

Essay

The fundamental frequency of a vibrating guitar string is modeled by the following equation: $$f = \frac { 1 } { 2 L } \sqrt { \frac { T } { \mu } }$$
where
$$\begin{array} { l } f = \text { vibration frequency in hertz } \\L = \text { length of string in meters } \\T = \text { string tension in newtons } \\\mu = \text { string density }\end{array}$$
What is the appropriate unit for $\mu$ if the preceding equation is to be homogeneous in units?

---

Definitions:

Water Cycle

The continuous movement of water on, above, and below the surface of the Earth, involving processes such as evaporation, condensation, precipitation, and runoff.

Equatorial Air

A type of warm, moist air found near the Earth's equator, contributing to the climate and weather patterns of equatorial regions.

Moisture

The presence of a liquid, especially water, often in trace amounts.

Rain Shadow

A dry area on the leeward side of a mountainous area, where precipitation is significantly less than on the windward side.