Question

The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/s...

The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/s to 28 rad/s in 2.4 seconds.

Through what angle did the propeller turn during this time?

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Answer #1

Initial angular speed of the propeller = 1 = 14 rad/s

Final angular speed of the propeller = 2 = 28 rad/s

Time period in which the angular speed of the propeller increases = T = 2.4 sec

Angular acceleration of the propeller =

= 5.833 rad/s2

Angle through which the propeller turns during this time =

= 50.4 rad

Angle through which the propeller turns during this time = 50.4 rad

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