6. An automobile engine is idling at 500 rev/min. When the accelerator is depressed, the angular
velocity increases to3000 rev/min in 5 s. Assume a constant angular acceleration. The flywheel
of the engine is 0.5 m in diameter.
(i) What are the initial and final angular velocities expressed in radians per second?
(ii) What was the angular acceleration expressed in radians per second squared?
(iii) How many revolutions did the engine make during the acceleration period?
(iv) What were the tangential and radial acceleration during the acceleration period?