Posted by Anonymous on Wednesday, November 9, 2011 at 10:27pm.
870 rpm = 91.1 rad/s
The average angular velocity during decleration is half that, or
w,av = 45.6 rad/s
The time it takes to stop is
2400*2*pi/45.6 = 165 seconds
If the want the angular acceleration in radians/sec^2, use
alpha = (91.1 rad/s)/165 s
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