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?

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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 $v^2/r=37.2"m/s"^2$

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