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*Question:* A tire placed on a balancing machine in a
service station starts from rest and turns through revolutions
in before reaching its final angular speed. What is the
angular acceleration of the tire (assuming that this quantity remains constant)?
What is the final angular speed of the tire?
*Answer:* The tire turns through
in
. The relationship between and for the case of rotational
motion, starting from
rest,
with uniform angular acceleration is

Hence,

Given that the tire starts from rest, its angular velocity after seconds takes the form

Richard Fitzpatrick
2006-02-02