Leebra 196
login register

rule

3 years ago by Carthrottlefan to c/196

save

share

report

load all comments
Jaettehjort 11 points 3 years ago

The cars are about 10 pixels long, the loop about 200 pixels in radius. Assuming the cars have a typical length of 4.7 m, this would give a loop radius of 94 m. To create a centripetal force large enough to counter-act gravity at the top of the loop, you need a speed vtop such that v^2^/r=g. With g=9.8 m/s^2^ and r=94 m, this gives a required speed at the top of vtop =sqrt(gr)=sqrt(9.8⋅94)=30,4 m/s=109 km/h=68 mph at the top.

However, the car would lose speed while while ascending the loop. Assuming that the kinetic energy of the car is converted to gravitational potential energy losslessly, and that no energy is added while ascending (giving some safety margin), it would need the kinetic energy at the bottom:

*mvbottom*^2^/2=mgh+*mvtop*^2^/2 =>

vbottom=sqrt(2gh+vtop^2^)=sqrt(4gr+gr)=sqrt(5gr)=sqrt(5⋅9.8⋅94)=67,9 m/s = 244,3 km/h = 151,8 mph.

This would be a recommended minimum speed on this road.

save

path: 0 63171, hotness: undefined, score: 11, children: 1
Alico 4 points 3 years ago

save

path: 0 63171 66089, hotness: undefined, score: 4, children: 0
196
196

@lemmy.world

login for more options
6211
2887
1131

Be sure to follow the rule before you head out.

Rule: You must post before you leave.

Other rules

Behavior rules:

  • No bigotry (transphobia, racism, etc…)
  • No genocide denial
  • No support for authoritarian behaviour (incl. Tankies)
  • No namecalling
  • Accounts from lemmygrad.ml, threads.net, or hexbear.net are held to higher standards
  • Other things seen as cleary bad

Posting rules:

  • No AI generated content (DALL-E etc…)
  • No advertisements
  • No gore / violence
  • Mutual aid posts are not allowed

NSFW: NSFW content is permitted but it must be tagged and have content warnings. Anything that doesn't adhere to this will be removed. Content warnings should be added like: [penis], [explicit description of sex]. Non-sexualized breasts of any gender are not considered inappropriate and therefore do not need to be blurred/tagged.

Also, when sharing art (comics etc.) please credit the creators.

If you have any questions, feel free to contact us on our matrix channel or email.

Other 196's:

go to feed...