Answer to Question #248747 in Physics for Jasmine

Question

As a physicist, you are tasked to head the committee that will make a creative and interesting;

(a) a new system of units to describe something that interest you. Your unit should be described using at least two subunits. For example, you can decide to measure the quality of songs using a new unit called song awesomeness. Song awesomeness is measured and by: the number of songs downloaded and the number of times the song was used in movies. 

(b) create an equation that shows how to calculate your unit. Then using your equation, create a sample dataset that you could graph. Are your two subunits related linearly, quadratically, or inversely? Your output must be designed to apply scientific reasoning and critical thinking using physics principles. 

Answer 1

(a) Song Density: measured as word count in lyrics divided by time of the song.

(b) Song density can be expressed as

$$D=\frac NT→N=DT.$$

The dependence of word count on time is linear: