G-force question. amusment park physics

[JT1993]

hey, i am a year 11 student trying to complete an assignmnt based on the physics in the amusment park 'dreamworld'

i have been ask to change something about a ride and write about safety and thrill factor this would affect, a chose the giant drop ( a free fall ride )

i am planning to change the height of the ride from 120m to 200m , and now trying to calculate g force

so far:

s = -200m
u = 0
v = ?
t = ?
a = -9.8 m/s



on the internet i found an equation for g force:

a / g = g force

a = change in velocity / change in time
g = -9.8



i calculated velocity first

v² = u² + 2as
v² = (0)² + (2 x -9.8 x - 200)
v² = 3920
v = 62.1

now i have velocity i tried to work out time

v = u +at
62.61 = o + (-9.8 x t)
62.61 = -9.8 x t
62.61 / -9.8 = t
- 6.39 = t

and that's it i cannot find a way and i am very confused please help i am still learning :(

thank you

 

[JT1993]

:( help?

 

[RoyalCat]

Let's say you're in a cart moving at some velocity, v, let's ignore gravity for now.
This cart sits on a rail, at some point along the track, the rail bends into the shape of a circle of radius R (Its radius of curvature is R).

From the accelerated reference frame of the cart, what force would you feel? (Hint: It would be the centrifugal force)

Once you've answered that question, you can generalize to any curve with a given radius of curvature, and thus find the acceleration the passengers would feel moving at any point along that curve, provided you know their velocity.