A car engine increases its angular speed from 600. rpm to 2500. rpm in 3.00 s with a constant angular acceleration α. He

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A car engine increases its angular speed from 600. rpm to 2500.
rpm in 3.00 s with a constant angular acceleration α. Here “rpm”
means revolutions per minute. Unless otherwise indicated, experss
your answer in SI units.
(a) [6 pts.] What is the magnitude of the engine’s angular
acceleration?
(b) [6 pts.] Through what total angle (in radians) does the
engine rotate during this acceleration?
(c) [7 pts.] If it requires 440. m N of torque to produce this
angular acceleration, what is the moment of inertia I of the
rotating engine parts?
(d) [6 pts.] What is the magnitude of the engine’s angular
momentum, ~L = I ω~ , at 2500. rpm?
(e) [5 pts.] Bonus: What horsepower (hp) is required to bring
the engine from 600. rpm to 2500. rpm in 3.00 s? Note: 1 hp = 746
watts.