Ratio of weight at top of a ferris wheel to bottom

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SUMMARY

The discussion focuses on calculating the ratio of apparent weight at the top and bottom of a Ferris wheel. The net force at the top is derived using the equation \( F_{net} = mv^2/r - mg \), while the apparent weight at the bottom is influenced by centripetal force, resulting in a greater normal force. The ratios calculated are 0.9 for the top and 1.09 for the bottom, indicating that the apparent weight decreases at the top and increases at the bottom due to the effects of centripetal acceleration. The mass cancels out in the equations, simplifying the ratio to a numerical comparison.

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vorcil
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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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