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Science-Related Homework Help Physics Topic started by: tjaen9229 on Oct 22, 2014



Title: Consider a circular roller coaster loop of radius 12.2 m. You already know that
Post by: tjaen9229 on Oct 22, 2014
Consider a circular roller coaster loop of radius 12.2 m. You already know that if the car starts from a height of 2.5 r at rest, the normal force acting on the car at the top will vanish.

 
Now assume the car starts from a level track, a height of 12.2 m above the ground. The track first guides the car to ground level and then into the loop. At which initial speed must the car move on the elevated track (height 12.2 m) such that it still has the required speed at the top of the loop for the normal force to vanish?


Title: Re: Consider a circular roller coaster loop of radius 12.2 m. You already know that
Post by: wizarddim on Oct 23, 2014
1. Consider a circular roller coaster loop of radius 15.1 m. You already know that if the car starts from a height of 2.5 r at rest, the normal force acting on the car at the top will vanish.

Now assume the car starts from a level track, a height of 15.1 m above the ground. The track first guides the car to ground level and then into the loop. At which initial speed must the car move on the elevated track (height 15.1 m) such that it still has the required speed at the top of the loop for the normal force to vanish?

Vb² = 2g(2.5r) = 5gr

5gr = Vi² + 2gr → Vi² = 3gr → Vi = SQRT[3gr] = 21.07 m/s


Title: Re: Consider a circular roller coaster loop of radius 12.2 m. You already know that
Post by: bio_man on Oct 23, 2014
Another...

Consider a circular roller coaster loop of radius 15.9 m. You already know that if the car starts from a height of 2.5 r at rest, the normal force acting on the car at the top will vanish.

Now assume the car starts from a level track, a height of 15.9 m above the ground. The track first guides the car to ground level and then into the loop. At which initial speed must the car move on the elevated track (height 15.9 m) such that it still has the required speed at the top of the loop for the normal force to vanish?

Attached is the answer. :)


Title: Re: Consider a circular roller coaster loop of radius 12.2 m. You already know that
Post by: tygooie on Oct 23, 2014
Vb² = 2g(2.5r) = 5gr

5gr = Vi² + 2gr → Vi² = 3gr → Vi = SQRT[3gr] = 21.07 m/s