Ratio of weight at top of a ferris wheel to bottom

In summary, the conversation discusses finding the ratio of weight at the top and bottom of a ride, where the normal force and apparent weight are affected by the centripetal force. The final answer is 0.9 for the top and 1.09 for the bottom, obtained by dividing the equations by mg. The conversation also touches on the importance of practicing and learning from mistakes.
  • #1
vorcil
398
0
http://img13.imageshack.us/img13/4697/masteringphysicsq1gwk.jpg

I got the first two, but I'm trying to figure out what to do for the others,

do i take figure out the net force at the top and divide it by the weight force on ground?

e.g i figured out at top the net force = 600N (just an example) from mv^2/r-mg=fnetAttop
and on ground was 90N

would i put in the awnser 600:90, or 600/90
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Those are found from the equations of the other problem. Just divide them by mg.

(mg - mv2/r)/mg) for the top and similarly as before for the bottom.
 
  • #3
LowlyPion said:
Those are found from the equations of the other problem. Just divide them by mg.

(mg - mv2/r)/mg) for the top and similarly as before for the bottom.

I'm not given mass or anything else to help solve for it,
the question is looking for a ratio for mass at the top of the curve to mass of someone standing
 
  • #4
can someone help please? I've no idea how to approach the problem
all i know is, at the top the ratio of weight will be less than on the ground
and at the bottom it will be greater

because the centripetal force will also be going with the normal force at the bottom which makes the guy feel like the ground is pushing up harder
and at the top the normal force is much less making him feel like he is lighter
 
  • #5
well if you use the equations, you'd see that you didn't need the mass as it cancels out.
 
  • #6
I STILL DON'T GET IT

normal weight = m*g
apparent weight at top = mg-(m*v^2/r)

so the ratio is?
(mg-(mv^2/r)) / mg?
which makes it m*(g-a)/mg

i can cancel the mass out, but how am i suppose to put that in a ratio of weight at the top of the ride to the bottom?
 
  • #7
OH i didn't realize it was just a number ratio, i thought i'd have to put in symbols or something

i'm such a ****ing failure, if i got this question in a test, i'd definitely fail

0.9 for the top ratio
1.09 for the bottom ratio.
 
  • #8
vorcil said:
OH i didn't realize it was just a number ratio, i thought i'd have to put in symbols or something

i'm such a ****ing failure, if i got this question in a test, i'd definitely fail

0.9 for the top ratio
1.09 for the bottom ratio.

Don't despair. That's the reason for homework. So when it comes exam time you don't make the unthinking errors and you can demonstrate proficiency.

Edison tried thousands of filaments before settling on tungsten. He didn't consider them failures, only steps to the right answer pointed out by all the things that didn't work.
 

FAQ: Ratio of weight at top of a ferris wheel to bottom

What is the ratio of weight at the top of a ferris wheel to the bottom?

The ratio of weight at the top of a ferris wheel to the bottom varies depending on the location of the person on the ferris wheel. At the top of the ferris wheel, the weight is slightly less due to the centrifugal force acting on the person, while at the bottom, the weight is slightly more due to the pull of gravity. However, these differences are very small and the overall ratio is approximately 1:1.

Does the ratio of weight at the top of a ferris wheel to the bottom change with different ferris wheel sizes?

The ratio of weight at the top of a ferris wheel to the bottom does not change with different ferris wheel sizes. As long as the ferris wheel maintains a constant speed, the ratio will remain the same regardless of its size.

How does the ratio of weight at the top of a ferris wheel to the bottom affect the ride experience?

The ratio of weight at the top of a ferris wheel to the bottom does not significantly affect the ride experience. However, some people may feel a slight change in their weight due to the differences in gravitational pull and centrifugal force at different points on the ferris wheel.

Can the ratio of weight at the top of a ferris wheel to the bottom be manipulated?

The ratio of weight at the top of a ferris wheel to the bottom cannot be directly manipulated, as it is determined by the physics of the ride. However, some designers may incorporate slight variations in the speed or size of the ferris wheel to create a different ratio and enhance the ride experience.

Is the ratio of weight at the top of a ferris wheel to the bottom the same for all objects?

The ratio of weight at the top of a ferris wheel to the bottom is the same for all objects, regardless of their weight. This is because the ratio is determined by the forces acting on the object, not the weight of the object itself.

Back
Top