For whatever it’s worth - it’s common in skydiving for lighter jumpers to wear weight belts when jumping with heavier jumpers.
Fall rate can be changed by altering body position, to an extent, but not always enough to overcome the weight difference for a given activity with a given person (also depending on the skill level of the participants).
And MY point is that when you change the shape but leave the weight the same, the speed of the falling object change. The reverse is not true.
Of course, as you correctly pointed out upthread, changing the weight but not the shape calls the speed of falling to change as well. To me this indicates that weight is not the single prime determinant of the speed of a falling object.
It’s not so much that you parsed it incorrectly as that I phrased it very, very badly.
Since you can change the shape in multiple ways while leaving the weight the same, and doing so will cause the speed of at which an object falls to change, it seems clear that weight is not the determinant of how fast an object falls. No?
There is no single prime determinant. That phrase doesn’t even really have any meaning. For a bacterium or a yeast cell, the terminal velocity is almost 100% determined by weight. For a space shuttle, the terminal velocity has nearly zero dependence on weight.
Everyone agrees there are multiple factors. The relative importance of those factors very, very strongly depends on their magnitudes.
My point in the thread that birthed this one was that, to the casual eye, it can easily seem that weight IS the prime determinant of the speed of a falling body in atmosphere. I agree that it is not, and clearly you do too. I don’t think I’ve argued that shape, size, or density, is the prime determinant, but it’s possible that I did so; if I did, that was an error on my part: neither what I understand the case to be to, nor what I intended to state. I was making an analogy between Pascal’s Wager (superficially convincing, but filled with errors if you look closely because it does not take note of the complexity of the subject) and the common-sensical notion that heavy objects always fall faster than lighter ones.
Totally fair, I’m sorry I misunderstood your point. I have no idea what was discussed in the Pascal’s Wager thread, and was only responding to arguments made in this thread, which may have been a bit silly, but GD threads are just always so damn messy. I hate wading through them.
The acceleration of a falling object is a constant: 32 ft/sec^2 That applies to both a feather and a lead weight.
Drag will slow acceleration, but any two objects accelerate at the same rate in the same gravitational field. At a certain point, an object will reach a terminal velocity, but that has nothing to do with acceleration.
No, the gravitational force is a constant, but the total acceleration isn’t, because drag (which has units of force) is not a constant. The total acceleration is (gravitational force - drag) / mass, and drag depends on shape, velocity, and the local air conditions.
I’m not sure what you mean by this. Terminal velocity has the same dependence on mass for all objects. If you quadruple the mass of a bacterium, its terminal velocity will double. If you quadruple the mass of the Space Shuttle, its terminal velocity would also double.
Only in a vacuum. Galileo was idealizing to the case of objects falling in a vacuum.
In a sense, Galileo’s real discovery was the realization that falling in a vacuum should be treated as the paradigmatic case of falling, as opposed to Aristotle, who regarded falling through a medium as the paradigmatic case, and thus concluded (quite rightly, as far as it goes) that speed of fall depends on weight and the density of the medium.
At a purely empirical level, Aristotle was right (although he extrapolated to some false conclusions, such as that speed of fall in a vacuum would be infinite), which is why it is a myth that Galileo refuted Aristotle’s view experimentally (he did not, and he did not claim to have done so). However, Galileo’s idealization provides a much greater insight into the true underlying mechanical principles.
Basically **Skald **old fellow your analogy in that other thread was a complete dud. I could see the point you were making but the problem is that believing “that the speed an object falls at is dependent on its weight” is absolutely and utterly correct for most human experience and you didn’t specify a set of conditions under which that belief would be invalid. For most human experience the speed an object falls is dependent on weight due to its effect in overcoming drag. Also, you you didn’t insert the qualification “primarily” before the word “dependent” as you are now doing. The SDMB being what it is you then got deservedly hijacked