Angular Velocity: Calculating Revolutions in 4 Seconds

[StephenDoty]

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

 

[StephenDoty]

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?