Angular Velocity: Calculating Revolutions in 4 Seconds

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StephenDoty
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How many revolutions does the object make during the first 4 s

well the area under the graph of the angular velocity versus time graph is 60

but I do not know how that helps.

Any help would be appreciated.

Stephen
 
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  • Graph of angular velocity ω in rad/s against time t in s: ω rises linearly from 0 at t = 0 to 20 at t = 2 s, then stays constant at 20 until t = 4 s.
    knight_Figure_07_02.jpg
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do you use the 60/2pi for the number of revolutions
or do you use:
10 for t=1
20 for t= 2, 3, and 4
which adds up to be 70?