Here's how Spider-man's iconic webbing actually works. (From 2014)
Based on these calculations, it looks like carbon nanotube rope is the only thing that would work. Well, the steel cable could work but it would have to be much thicker with a radius of 2.5 mm.In the recent versions of Spider-Man, it seems that all the webbing “ammo” is contained in a small watch-sized wrist thing. In order to estimate the amount of webs, Spidey can shoot, I need to first settle on the webs. I am going to go with carbon nanotube rope.
Using the values from my estimates, I get a container radius of 9.6 cm or a height above the wrist of 7 cm. Here is what that would look like.Yes. That looks a little awkward. But just imagine how large this thing would be the webs were something like nylon or steel cable instead of nanotube rope.I already said that it seems like these webs should be able to reach at least a 10 story building .
Since the web is slowing down with an acceleration of -g, I can find the total time to get to the top of the building using the definition of the acceleration. And there is your expression for the launch speed of the web. Sure, you could have just used one of the kinematic equations but what fun would that be? Using a the value for the change in height of 30 meters, the web launch speed would be 24.2 m/s . That doesn’t seem too bad, does it? But wait. What about air resistance.
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