The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/s to 35 rad/s in 2.2 revolutions. What is the angular acceleration of the propeller?
We know the equation of motion
.............................(1)
Where,
is final angular speed of the object
is initial angular speed of the object
is angular acceleration of the object
is total angular distance covered by the object
Given,
(because in one revolution propeller covers a distance of
radians )
Putting all the values in equation (1), we get
or,
or,
or,
or,
Hence, the angular speed of the propeller is 37.22 rad/s2 .
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