If Everyone on Board

• If-Everyone-on-Board-I.mp3
• If-Everyone-on-Board-I.mp4
• If-Everyone-on-Board-II.mp3
• If-Everyone-on-Board-II.mp4
• If-Everyone-on-Board-intro.mp3
• Inverted-0.mp3

[Intro]
We require…
… significant force, and…
Time (due to momentum)
The situation (we find ourselves in)

[Verse 1]
Where should I begin
When it’s too late
To debate,
Since we cast our fate

[Bridge]
We require…
… significant force, and…
Time (due to momentum)
The situation (we find ourselves in)

[Chorus]
If everyone on board
Acts as a herd
Our future’s sunk
Or so I’ve heard

[Bridge]
(Who woulda thunk)
We’ve gone absurd

[Verse 2]
Where will it end
(The message we send)
No one will hear
(If no one’s here)

[Bridge]
We require…
… significant force, and…
Time (due to momentum)
The situation (we find ourselves in)

[Chorus]
If everyone on board
Acts as a herd
Our future’s sunk
Or so I’ve heard

[Bridge]
We require…
… significant force, and…
Time (due to momentum)
The situation (we find ourselves in)

[Chorus]
If everyone on board
Acts as a herd
Our future’s sunk
Or so I’ve heard

[Outro]
People go home
(You’re all drunk!)

A SCIENCE NOTE
Turning a fast-moving, large boat around before it reaches a waterfall involves multiple physical principles, including momentum, angular momentum, torque, and hydrodynamics. If everyone on board rushes to one side to look over, it introduces additional complexities related to stability and the center of gravity. Here’s a breakdown:

1. Turning the Boat Around

Momentum

• The boat has linear momentum ($p=m\cdot v$), where $m$ is the mass of the boat and $v$ is its velocity. Stopping or turning the boat requires applying a force in the opposite direction of its momentum.
• The larger the mass or the faster the velocity, the more force and time are needed to change its direction.

Torque and Rudder Effect

• Torque ($\tau =r\cdot F$) is applied via the rudder or other steering mechanisms. The rudder redirects the water flow, generating a force that turns the boat.
• The force exerted by the rudder depends on:
  • The area of the rudder ($A$).
  • The speed of the water (vwaterv_{\text{water}}vwater​).
  • The angle of deflection ($\theta$).

Hydrodynamic Resistance

• As the rudder generates turning forces, the hull of the boat creates drag, resisting the turn. This limits the boat’s turning speed.
• Fast turns can cause the boat to tilt (heeling) due to centrifugal forces acting on the hull.

Propulsion

• The engines or paddles must also work in coordination with the rudder to aid the turn. Reverse thrust may be applied to slow the boat and prevent overshooting the turn.

2. Center of Gravity and Stability

Everyone Rushing to One Side

• Shift in Center of Gravity: When passengers rush to one side, the boat’s center of gravity shifts toward that side. This creates an imbalance and increases the risk of tipping.
• Tilting (List): The boat tilts due to the uneven weight distribution, creating a torque that can destabilize it. The tilt angle ($\theta$) depends on:
  • The shift in the center of gravity ($\Delta x$).
  • The buoyancy and shape of the hull.
• Capsizing Risk: If the center of gravity moves outside the hull’s base of support, the boat may capsize.

Increased Drag on One Side

• The added weight on one side increases the hull’s depth in the water on that side, increasing drag unevenly. This could make steering more difficult and slow down the turn.

3. Potential Outcomes

1. If the Boat is Successfully Turned:
   • With sufficient thrust and steering, the boat could turn away from the waterfall. However, the process would be slower if the added tilt or uneven drag reduces efficiency.
2. If Everyone Rushing Causes Instability:
   • The boat could list heavily, making it harder to steer.
   • In extreme cases, the boat could capsize, especially if the waterfall creates turbulent waters that destabilize it further.
3. If the Turn Fails:
   • The boat might continue toward the waterfall. The impact forces from falling could cause structural failure or sink the boat, depending on its size and the height of the fall.

Key Takeaways

• Turning a large, fast-moving boat requires significant force and time due to momentum.
• Passenger behavior, such as rushing to one side, can compromise stability and reduce steering effectiveness.
• Effective coordination of propulsion, rudder angle, and weight distribution is crucial to prevent disaster.

From the album “Snowball Effect” by Δ To Cause a Change

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