Question

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?

Answer 1

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,   

=37 22 rad/ s

Hence, the angular speed of the propeller is 37.22 rad/s² .

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