Angular acceleration of blender blades from rest to 2.2×10^4 rpm

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BikeSmoth
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Homework Statement


The blades of a kitchen blender rotate counterclockwise at 2.2×10^4 rpm (revolutions per minute) at top speed. It takes the blender 2.1 seconds to reach this top speed after being turned on. What is the average angular acceleration of the blades?


Homework Equations


average angular aceleration=dw/dt

The Attempt at a Solution


after converting rpm to rotations per second I attempted 366.7rps/2.1s=174.6rad/sec

 
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Convert rev/min to rad/sec, not rev/sec. (1 rev = ? radians?) And the acceleration will have units of rad/s^2.