theory
Momentum Lyrics


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Why can't we see? is it the glare that blinds?
can't comprehend with such facile words
Abstract thought is no grace of man
A trillion lost causes the fate of our effect

Fundamental ideas that we glean
charged to engage with our surroundings
or we are no more just than those now blind by faith
this iron sphere revolves blind of our presence

When we stood tall, we covered our eyes
antagonism replaced any intrigue
so fearful of loosing, poised for offense
cut back the wheat, to cultivate chaff

will we repeat
this tragic succession
of turgid descent
to tear the mantle

draining the cruor
trite in our feelings




glib in our squander
of this beautiful world

Overall Meaning

The lyrics of Momentum's song Theory suggest that humans are failing to understand the complexity of the world around them. The first two lines ask why we are unable to see, is it because we are blinded by the glare of superficiality? The next line suggests that our simple vocabulary fails to encompass the abstract ideas that make up the world. Abstract thought is no longer considered a grace of man, it has become a lost cause. It suggests that we have lost our ability to comprehend the bigger picture and are only focusing on what is immediately in front of us.


The fundamental ideas that we do understand are charged to engage with our surroundings, but if we do not, the world will go on blind to our presence. The following lines discuss how we once stood tall and were intrigued by the world but now we are only interested in defeating others and are so caught up in our own battles that the bigger picture is lost. The lyrics urge us to think about our behavior and consider whether we will repeat our mistakes, ultimately leading to the destruction of this beautiful world.


Line by Line Meaning

Why can't we see? is it the glare that blinds?
Are we unable to see the truth because something is blinding us?


can't comprehend with such facile words
We cannot understand big concepts with simple words


Abstract thought is no grace of man
The ability to think abstractly is not a gift to humans


A trillion lost causes the fate of our effect
The outcome of our actions can cause a vast number of consequences


Fundamental ideas that we glean
We must gather basic knowledge and ideas


charged to engage with our surroundings
We are tasked with interacting with our environment


or we are no more just than those now blind by faith
Failing to interact with our environment makes us no better than those who have faith and refuse to see the truth


this iron sphere revolves blind of our presence
The planet continues to move and exist regardless of our presence


When we stood tall, we covered our eyes
We have failed to see the truth when we were at our strongest


antagonism replaced any intrigue
Conflict has taken over any curiosity


so fearful of loosing, poised for offense
We are so afraid of losing that we are ready to attack at any time


cut back the wheat, to cultivate chaff
We have been dismissing important things while paying attention to insignificant ones


will we repeat
Are we going to do the same thing again?


this tragic succession
This unfortunate cycle


of turgid descent
Of declining quality


to tear the mantle
To destroy the integrity


draining the cruor
Depleting the life essence


trite in our feelings
Our emotions are shallow and unimportant


glib in our squander
We carelessly waste important resources


of this beautiful world
Of this amazing planet




Contributed by Jordan D. Suggest a correction in the comments below.
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Comments from YouTube:

@dormg22

amazing channel, thank you so much for uploading these lessons professor

@apocalypt0723

Thank you so much for the lectures. Learning so much from them

@samdougherty5559

So from my understanding, for most of the calculations in this video the units are in Torque and Thurst. It is only when you make A_d = 2*pi*r*(dr) and then divide LHS and RHS by (dr) do the equations become Torque per unit length and Thrust per unit length?

@grahamflowers

There is something wrong with Betz limit if kinetic energy in the wind is 1/2 mass or 50% and Betz limit is 0.5926% then where can the 0.926% come from not the wind ? regards Graham Flowers MEng

@casper6349

At 35:56, you are missing a V_\infty in the equation for torque. Furthermore, in case you would insert the velocity to arrive at the same equation as 34:08, you would end up at torque in terms of units, not torque per unit length. Won't this mess up the integration over the span later on in the calculations?

@BYUFLOWLab

Good catch, I indeed made a typo on the slide and the V_\infty should be there. With the Vinf include you do get the correct units (torque per unit length, N*m/m or just N). Fortunately, when I combine the momentum and blade element parts in the next video I have the V_\infty term back in so everything else is correct - just a typo on that slide.

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