PHYSICS 111 SPRING 2008 HOMEWORK #13 SOLUTION
Chapter 8, Question 12
A bicycle is turned upside down, the front wheel is spinning (see the drawing),
and there is an angular acceleration. At the instant shown, there are six points on the
wheel that have arrows associated with them. Which of the following quantities could the
arrows represent: (a) tangential velocity, (b) tangential acceleration, (c) centripetal
acceleration? In each case, answer why the arrows do or do not represent the quantity?
Solution
:
(a)
All points on the dashed line have the same angular velocity at a given
instant, therefore the point that is closer to the center will have a
smaller tangential velocity, so these arrows could represent the
tangential velocity.
(b)
Since we have angular acceleration we have tangential acceleration,
which is linear in
r
, so these arrows could also represent tangential
acceleration.
(c)
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 Spring '08
 Shinar
 Physics, Acceleration, Work, 1.5 m, 2.0 cm, 10 l, 14 rad

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