- Creation Date: September 28, 2012
- Academic Subject:
In this video we explore the relationship between velocity and cross sectional area of liquid as it flows through a pipe. The video will open with a scene reminiscent of the old west, where two cowboys (one with a white hat and one with a black hat) get in an argument, and decide to resolve their differences with a good ol’ fashioned duel at high noon the next day. The problem is, for some inexplicable reason, they find that only weapons at their disposal are hoses…
One cowboy laughs, thinking there’s no way he’s going to lose the duel (I mean, they’re hoses, who doesn’t know how to use a hose right?), and he goes to sleep without preparing for the duel. The other cowboy, thinking there must be some way to use science to gain an advantage in the fight, remembers back to a lesson he received once about flow through a pipe during his days at MIT:
• A blank page will open, and a narrator will speak through the physics and important concepts of fluid through a pipe (incompressibility, conservation of mass, etc.) while the concepts are drawn using a tablet/sketching program. The equation governing such flow (density*area*velocity = constant) will be taught, and we will explain how in general, for incompressible fluids (like water), as the area decreases velocity must increase (i.e., they are inversely related to each other)
• A live action illustration of this concept will be shown using the MIT Wright Brothers Wind Tunnel: first an overhead view of the tunnel will be shown and the changes in cross section will be highlighted; then the cowboy will be shown in different areas of the tunnel with varying cross sections experiencing vastly different wind speeds
• The cowboy will then be shown staying up late, at his desk, trying to imagine a way to use this concept to his advantage in the hose fight… then it hits him, and without telling the audience his revelation, he goes to sleep confident
Fade in to the cowboys at high noon the next day, ready to duel, and we’ll recreate the final scene from “The Good, The Bad, and The Ugly” – several shots of the two cowboys as they prepare to duel, then as the duel starts we’ll show slow motion shots of the first cowboy’s hose flowing weak water (to his DISMAY!) while the second cowboy’s hose flows high velocity water (because he aptly put his thumb over the spout to decrease the exit area and thus increase the flow velocity). Water will be shown splashing the first cowboy in the face violently in slow motion, and the video will end with the second cowboy relating how science allowed him to be victorious.