Rolls in Sync
PREDICTION CHALLENGE: ROLLS IN SYNC!
PREDICTION CHALLENGE: ROLLS IN SYNC!
GIVEN: Two rolls of toilet paper and a meterstick
TASK: Determine the ratio of heights so that both
rolls land at the same time when dropped as shown
on the picture.
POSTER: Force diagrams and a complete derivation
of ratio of the two heights
DATA:
R: outer radius
r: inner radius
Rotational inertia for a cylinder:
Rotational inertia for unrolled roll rotating about its outer radius:
(Thanks to Dolores Gende for this activity)