To fully understand the song, we need to know a few things about Yom Teruah*, as well as about archery, sailing, and the Jewish concept of 'sin.'
Since Jewish law provides the proper way, or path, to live, then “sin” involves straying from that path.** And so, in Judaism, there is no concept of “sin” per se; rather, there is the principle of going awry and needing to return. To this end, the closest Hebrew equivalent to “sin” is “chet” (or “het,” depending on one’s ethnic pronunciation), which literally means “going astray.” “Going astray” is also a term used in archery, to indicate that the arrow has missed its mark – a perfect analogy to the Jewish precept. We are like the archer, aiming before we shoot, yet not always hitting the target. Our goal should be to aim as carefully as possible to hit the marks we set for ourselves.
Sailing ships cannot travel directly into the wind, because that is not how sails work, but often need to go that way. Movement is achieved by turning into the wind, and soon the sail fills, moving into the new direction. As a ship must turn to move in a new direction, so must people turn toward the path of righteousness, if they are to make changes in their lives.
In the Torah, Jews are commanded twice to have a Yom Teruah, a “Day of Shouting,” on the first day of the seventh month. (Leviticus 23:23-25; Numbers 29:1-6).*** While the purpose for other Jewish Holy Days is explained in the Torah, the purpose for Yom Teruah is not explained. We are given a hint about its purpose, however, through its name. “Teruah” means to make a loud noise, usually by shouting. We are further given a clue when we read, in Leviticus 23:24, that we are to make a remembering shout, or in Hebrew, a “Zichron Teruah."
The song reminds us that we are shouting for G-d's attention, crying out to G-d that we have strayed and gotten lost, yet we wish to return, and we need G-d’s help in doing so. We shout to G-d to remember us, teach us, guide us, and not to allow us to stay lost and swirling around in our confusion.
* Yom Teruah has morphed over the centuries into "Rosh Hashana." If you wish to learn more about this metamorphoses please visit: How Yom Teruah Became Rosh Hashanah (Link leaves this website)
** There is no 'sin' in Judaism, as exists in some other faiths. There is a much larger discussion of this, but that is what the rest of the Internet is for...
*** Specifically, in Leviticus 23:24 it instructs that "you shall have a day of rest, a holy assembly of remembrance and shouting." In Numbers 29:1 it states: "you shall have a holy convocation: you shall do no manner of servile work; it is a day of blowing the horn unto you."