- #1
Loudhvx
- 12
- 0
Hello all, and forgive me if I'm making newbie mistakes as I haven't posted here much.
I realize this appears to be a homework assignment, but it is not. I am trying to develop an easy method for determining the actual moment of inertia for real wheels, for bicycles and other vehicles. I googled the topic and many related results came up, but not explicitly for finding the MOI with a simple formula.
I believe I have the correct formula, but I need confirmation from more knowledgeable people. I made a pdf file summarizing the problem including a drawing. I hope the link works.
https://s3.amazonaws.com/loudfiles/MomentOfInertiaWheel_TEMP.pdf
All of the quantities are constant, as in not varying with time.
I neglect friction, but realize it can be a significant factor on a real wheel if not dealt with properly.
In case the link doesn't work, here is what I have:
A wheel of radius R is mounted with its axle horizontal.
A string is attached, and wrapped around the perimeter of the wheel (at radius R distance from the center).
The free end of the string is attached to a free-weight of mass M.
The free weight is allowed to fall a distance H, vertically, which accelerates the wheel.
The time it takes the weight to travel H is time t1.
g is the acceleration of gravity.
The MOI = ( (g t12 / 2 H) - 1 ) M R2
Can someone please confirm that for me? Thank you very much for your time.
I realize this appears to be a homework assignment, but it is not. I am trying to develop an easy method for determining the actual moment of inertia for real wheels, for bicycles and other vehicles. I googled the topic and many related results came up, but not explicitly for finding the MOI with a simple formula.
I believe I have the correct formula, but I need confirmation from more knowledgeable people. I made a pdf file summarizing the problem including a drawing. I hope the link works.
https://s3.amazonaws.com/loudfiles/MomentOfInertiaWheel_TEMP.pdf
All of the quantities are constant, as in not varying with time.
I neglect friction, but realize it can be a significant factor on a real wheel if not dealt with properly.
In case the link doesn't work, here is what I have:
A wheel of radius R is mounted with its axle horizontal.
A string is attached, and wrapped around the perimeter of the wheel (at radius R distance from the center).
The free end of the string is attached to a free-weight of mass M.
The free weight is allowed to fall a distance H, vertically, which accelerates the wheel.
The time it takes the weight to travel H is time t1.
g is the acceleration of gravity.
The MOI = ( (g t12 / 2 H) - 1 ) M R2
Can someone please confirm that for me? Thank you very much for your time.