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playg
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Homework Statement
Hi everyone! I did an experiment recently and I've come really far but I have some difficulties with the final equation. In this experiment you have to explain hollow cylinders rolling down an incline without using advanced physics like moment of inertia or something like that. Just simple physics.
I got the equation for solid cylinders:
t=sqrt(3s/a) from s=v0t+(at^2/2) where v0t=0 and I know the acceleration is 2/3gsinα
put them together and you get t=sqrt(3s/a)
But, then the promblems occur... I cannot figure out the equation of the hollow cylinder. I know one variable is d/D^2 (inner/outer diameter), by doing a diagram.
Homework Equations
I already know the equation:
t=sqrt(3s/a)+(1+k(d/D)^2) <----- t=sqrt(3s/a)+[(sqrt(3s/a))x(k2(d/D^2))]
they're the same but you need to shorten the second equation so you can get the first one with k(constant). k should be 1/6.
The Attempt at a Solution
Look at 1. Sorry for my bad english but I really need help with this. Just how to move on. Any tips would be nice. I need to get to this equation: t=sqrt(3s/a)+[(sqrt(3s/a))x(k2(d/D^2))]
Data you might need:
t(s)) | d | D | The time for solid cylinders is constant: 1.7 with
1.95 | 5.4 | 5.8 | the angle 7.11° , that means that :
1.85 | 2.5 | 3.5 | sqrt(3s/a)=1.7=t
1.79 | 3.5 | 5.5|