The crankshaft in a race car goes from rest to 3000 rpm in 2.0 s.

a. what is the crankshaft's angular acceleration?

b. how many revolutions does it make while reaching 3000 rpm?

The equations are analogous to that for linear movement:

acceleration = (final velocity - initial velocity) / time

acceleration = (3000 rpm - 0 rpm) / 2.0 s

a) acceleration = 1500 rpm/s or 25 rp (s^2)

For the displacement

displacement = initial velocity*time + 0.5*acceleration*time^2

displacement = (0) * (2 s) + (0.5) (25 rps^2) * (2 s) ^2

b) displacement = 50 revolutions