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buglove buglove
wrote...
11 years ago
initial angular speed of 3.40 rad/s then rotates thru 1.25 revolutions and comes to rest.

b. how much time does it take for the wheel to come to rest?
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wrote...
11 years ago
The first thing I thought about was a graph of the angular speed vs. time.  This is going to be a straight line.  What does the area under it represent?  It represents the angle the thing has turned through, doesn't it?  It's the integral over time of the angular speed, therefore the angle.  This graph forms a right triangle with the axes, and you are given the area of it and the height, so just use geometry to calculate the base and the slope.  Be sure to convert the quantities you were given, to the same units, either radians or turns.  I would suggest radians so your angular acceleration answer will come out in radians per square second rather than turns per square second, as the latter units sound, well, less conventional.
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