https://xkcd.com/2935

Alt text:

I can’t believe they wouldn’t even let me hold a vote among the passengers about whether to try the loop.

You are viewing a single thread.
View all comments View context
0 points

You just have to go fast enough. The minimum speed keeping you from falling out of a circular loop is sqrt(gr), with gravitational acceleration g and loop radius r. 10m radius requires 36km/h, which might be suitable for a Jetski. Larger ships need bigger loops to physically fit, and consequently larger speeds. It’s quite surprising, but a monstrous 100m radius loop needs less than 120km/h.

permalink
report
parent
reply
0 points

so mass doesn’t factor into the equation??? a Jetski made from aluminum would need the same speed as from osmium?

permalink
report
parent
reply
0 points

I think so. At the apex of the loop gravity balances centrifugal force, Fg = Fc, when going the minimal speed necessary to get through the loop. Fg = m g, Fc = m v^2 / r. So mass m drops out of the equation.

permalink
report
parent
reply

xkcd

!xkcd@lemmy.world

Create post

A community for a webcomic of romance, sarcasm, math, and language.

Community stats

  • 1.9K

    Monthly active users

  • 169

    Posts

  • 1.2K

    Comments

Community moderators