Ratio of weight at top of a ferris wheel to bottom

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Homework Help Overview

The discussion revolves around calculating the ratio of apparent weight at the top of a ferris wheel compared to the bottom, within the context of forces acting on a person riding the ferris wheel. The subject area includes concepts of centripetal force and gravitational force.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the net forces at the top and bottom of the ferris wheel, questioning how to express these as a ratio. There are discussions about the need for mass in the calculations and how it cancels out. Some participants express confusion about the format of the answer required.

Discussion Status

There is a mix of understanding among participants, with some offering equations and insights into the problem. Others express uncertainty about the approach and the interpretation of the question. Guidance has been provided regarding the cancellation of mass in the equations, but a clear consensus on the final ratio has not been reached.

Contextual Notes

Some participants note the lack of specific values such as mass, which complicates the calculations. The discussion also reflects a concern about understanding the implications of centripetal force on apparent weight.

vorcil
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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
 
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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.
 
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
 
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
 
well if you use the equations, you'd see that you didn't need the mass as it cancels out.
 
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?
 
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.
 
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.
 

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