Riders on the Behemoth roller coaster pass through a hammerhead turn at a speed of 122.4km/hr and experience a centripetal acceleration of 37.2m/s². How much force would a person that weighs 539N feel on this turn?

Question

2142 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-08T22:48:37

#1507"N"#

I am assuming that this is a vertical loop.

To get the mass of the person we divide the weight by# "g":#

#m=539/9.8=55"kg"#

At the top.of the ride the net force that the person feels will be the difference between the centripetal force and the weight:

#F=(mv^2)/r-mg#

We are told that the centripetal acceleration #=37.2"m/s"^2#

So #v^2/r=37.2"m/s"^2#

#:.F=(55xx37.2)-539=1507"N"#