Suppose you are a roller coaster ride designer and you begin a new design with safety in mind. Safety regulations state
Posted: Wed Jun 08, 2022 11:32 am
Suppose you are a roller coaster ride designer and you begin a
new design with safety in mind. Safety regulations state that the
riders' centripetal acceleration should be no more
than 𝑛=1.65𝑔n=1.65g at the topof the hump
and no more than 𝑁=5.50𝑔N=5.50g at
the bottom of the hoop. Previous sections of the
ride give the train a speed
of 11.3 𝑚/𝑠11.3 m/s at the top of the incline,
which is ℎ=37.5 𝑚h=37.5 m above the ground.
Ignoring the effects of friction and air resistance:
(a) What is the minimum radius 𝑅humpRhump you can use
for the semi-circular hump?
(b) What is the minimum radius 𝑅loopRloop you can use
for the vertical loop?
new design with safety in mind. Safety regulations state that the
riders' centripetal acceleration should be no more
than 𝑛=1.65𝑔n=1.65g at the topof the hump
and no more than 𝑁=5.50𝑔N=5.50g at
the bottom of the hoop. Previous sections of the
ride give the train a speed
of 11.3 𝑚/𝑠11.3 m/s at the top of the incline,
which is ℎ=37.5 𝑚h=37.5 m above the ground.
Ignoring the effects of friction and air resistance:
(a) What is the minimum radius 𝑅humpRhump you can use
for the semi-circular hump?
(b) What is the minimum radius 𝑅loopRloop you can use
for the vertical loop?